Filters








144 Hits in 7.4 sec

Block pulse functions for solving fractional Poisson type equations with Dirichlet and Neumann boundary conditions

Jiaquan Xie, Qingxue Huang, Fuqiang Zhao, Hailian Gui
<span title="2017-03-14">2017</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/eop7rvdybzgldi3ukprnutulze" style="color: black;">Boundary Value Problems</a> </i> &nbsp;
boundary conditions.  ...  The obtained numerical results have been compared with those obtained by the Legendre and CAS wavelet methods. In addition an error analysis of the method is discussed.  ...  Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1186/s13661-017-0766-0">doi:10.1186/s13661-017-0766-0</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/yp3zwikdjvhvxp6gwimtx6ayee">fatcat:yp3zwikdjvhvxp6gwimtx6ayee</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20171008041641/http://publisher-connector.core.ac.uk/resourcesync/data/Springer-OA/pdf/011/aHR0cDovL2xpbmsuc3ByaW5nZXIuY29tLzEwLjExODYvczEzNjYxLTAxNy0wNzY2LTAucGRm.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/5a/1a/5a1a25a6918cf50665d7aff7d951862cd41ffb86.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1186/s13661-017-0766-0"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> springer.com </button> </a>

Fibonacci wavelet method for solving time-fractional telegraph equations with Dirichlet boundary conditions

Firdous A. Shah, Mohd Irfan, Kottakkaran S. Nisar, R.T. Matoog, Emad E. Mahmoud
<span title="">2021</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/3jwrpcc43rg57pnbwtl3yyopcm" style="color: black;">Results in Physics</a> </i> &nbsp;
telegraph equations with Dirichlet boundary conditions.  ...  Approximate solutions of the time-fractional telegraph equation are compared with the recently appeared Legendre and Sinc-Legendre wavelet collocation methods.  ...  wavelets constructed in previous section to solve the time-fractional telegraph equations with both initial and boundary conditions.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.rinp.2021.104123">doi:10.1016/j.rinp.2021.104123</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/zgpkuxn47rbj3n5itl5no7mqna">fatcat:zgpkuxn47rbj3n5itl5no7mqna</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210527112919/https://pdf.sciencedirectassets.com/280687/1-s2.0-S2211379721X00046/1-s2.0-S2211379721002771/main.pdf?X-Amz-Security-Token=IQoJb3JpZ2luX2VjEJv%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCXVzLWVhc3QtMSJGMEQCIAqzH7ucDysuTKee5Sc2ns2Brlfc8%2FQwWccSznZwzD9YAiBEsPt3voqs8Sde2HMaYhhe%2FrItwaW6%2BBJOkx0tkK3Goyr6AwhDEAMaDDA1OTAwMzU0Njg2NSIMyPL9g8X7732aVdZYKtcDRtVvTvRBQhqOFpASn0gdD1%2FGOF%2BuqFuabXh6Vc9oo4uzKyPIqMHiCzp5Duxgk1bSVdxSrBRRaAL6PhV6PpHY%2BIH4zZK0k50BKwDdvmjhBhQqenVQr5vZkC9Y9nki1%2FvueeZW%2FuIuJUb%2FFPAvv7MhvpgOtdCkFTnyxJMf2LZt472c38DzTMCtj18BOXZBFlEOwhToZVxATZZOIueYSXU6HewPTy6om%2BOsFIvdipglSj8duMq%2FGJzPoTlI%2F6e5swAjh4he9BqcbSUpBk98U7xH1dW5ryZngF%2FI6lGCHgVYbs0Wg1Zqt7XGhjX1qAv2TwNoLKBhzn%2FAvCkTtJ4HeQNakVkbp5p%2B1m9dAR3Qq8W6a5zB6bHTOQCiSseMQcxxWYsZH9wH5QJIUEde4CkeoL3tb07QkcjimbADE%2BTMG7DgCnx3QJkG7VFjA4wDW%2FO1CphgKkc%2Bvu6HBA484E6K%2FytjOfRNdPatmM3zkfMRGbyA7xUr8CcuggmutqojM591YFqAkWJCy0DtlTJUkDR%2B979rASmXc5MTp0G49T%2BG8WRTRVfpTF3s7ffA1cTcLD7ivneQlGwSUDUUUXHFfTMEm0mmh2L7Pb79f21UogiHlnTGA4jIA3hO5WArMOzfvYUGOqYB5bmY1vhfxIuo%2BrUV7iTWPW0NNm%2FclnMLCRtyGreCtlXz9oSxKYjMOiYqBL1h4JIViTi7Rd17jv%2Bt4f%2Bvmhr1q9x6J0pNiIR1Ytr14pbcQdaSp6C03Z%2F2z3i7ZNXFKes91UYiz3r2E9ijgq4S5CouaikHKY67DbY6hZl9thwk8mve%2BlHvYnadKsziexV%2BX09bGcHnvlVryTbQQJx%2BLzCGF354uV5pOA%3D%3D&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Date=20210527T112913Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=300&amp;X-Amz-Credential=ASIAQ3PHCVTYX3P2EPTX%2F20210527%2Fus-east-1%2Fs3%2Faws4_request&amp;X-Amz-Signature=640b1df4e351249bd20759eeeba055422456bde55eadb9576b2d4b1a2d3d49b6&amp;hash=64f06212c0ca91ed66151864ead653a3fbf6eb58a676646a3af1418c5421f5e2&amp;host=68042c943591013ac2b2430a89b270f6af2c76d8dfd086a07176afe7c76c2c61&amp;pii=S2211379721002771&amp;tid=spdf-574bdf11-e962-4faf-a21e-f2ca6d4754d0&amp;sid=5d14aa86830427456188b5890112f2bf145dgxrqa&amp;type=client" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/b1/56/b156afee0d0346e7492b3107a8770404e46b3e9b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.rinp.2021.104123"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> elsevier.com </button> </a>

Numerical Solution Of Partial Integro-Differential Equation Using Legendre Multi Wavelets

Amina Kassim Hussain
<span title="">2020</span> <i title="Southwest Jiaotong University"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/4tpkadvm2fc53dsvwt3dedzbb4" style="color: black;">Journal of Southwest Jiaotong University</a> </i> &nbsp;
Linear Legendre multi wavelets form a collocated method based on the numerical solution of one-dimensional parabolic partial integro-differential equation of diffusion type.  ...  The diffusion method, its basic concept, and other methods used to solve integro-partial differential equations are also studied in detail.  ...  Here, we consider the equation: assuming the initial condition and the conditions of the Dirichlet boundary, as follows: Here, are the boundary conditions.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.35741/issn.0258-2724.55.2.24">doi:10.35741/issn.0258-2724.55.2.24</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ikb2fs24f5benl24dkw4kvwa7i">fatcat:ikb2fs24f5benl24dkw4kvwa7i</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210331020501/http://jsju.org/index.php/journal/article/download/540/535" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/a6/21/a621a474ecc838ec0cb81deaca6ae64347369830.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.35741/issn.0258-2724.55.2.24"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

New Algorithm based on Shifted Legendre Polynomials for Fractional Partial Differential Equations

Afshan Kanwal, Phang Chang, Hammad Khalil
<span title="2017-05-11">2017</span> <i title="Indian Society for Education and Environment"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wffwpj3q45g5zfjzfeyagk5uea" style="color: black;">Indian Journal of Science and Technology</a> </i> &nbsp;
The aim of this article is to present a general framework of operational matrix via Shifted Legendre Polynomials (SLOM) for the solution of Fractional Partial Differential Equations (FPDEs) with variable  ...  To demonstrate the efficiency and reliability of the proposed method, some numerical examples are conferred and compared with other existing approaches.  ...  Hydari MH, Hooshmandasi MR, Mohammadi F, Legendre wavelets method for solving fractional partial differential equations with Dirichlet boundary conditions, Applied Mathematics and Computation, 2014; 234  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.17485/ijst/2017/v10i12/112972">doi:10.17485/ijst/2017/v10i12/112972</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/e2nyhpfzozgk5d3veyc6v347ae">fatcat:e2nyhpfzozgk5d3veyc6v347ae</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180720190645/http://www.indjst.org/index.php/indjst/article/download/112972/79259" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.17485/ijst/2017/v10i12/112972"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Application of Lane-Emden differential equation numerical method in fair value analysis of financial accounting

Linying Xu, Marwan Aouad
<span title="2021-12-30">2021</span> <i title="Walter de Gruyter GmbH"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wgrrqvuxpjfnjncdowboblgzvq" style="color: black;">Applied Mathematics and Nonlinear Sciences</a> </i> &nbsp;
In order to study the fair value analysis of financial accounting, the Euler wavelet method is proposed to solve the numerical solutions of a class of Lane-Emden type differential equations with Dirichlet  ...  The Lane-Emden equation with boundary conditions is transformed into algebraic equations by Euler wavelet collocation method, and the numerical results are compared with the results and exact solutions  ...  In order to further extend the application of Euler wavelet, we use Euler wavelet configuration method to solve the Lane-Emden equation with Dirichlet, Neumann and Neumann-Robin boundary conditions [4  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2478/amns.2021.1.00094">doi:10.2478/amns.2021.1.00094</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/n6r365beozhnfjke44sps57zoy">fatcat:n6r365beozhnfjke44sps57zoy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20220219121901/https://www.sciendo.com/pdf/10.2478/amns.2021.1.00094" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/73/bd/73bdac2a67ddea555c484b7bd5e2aa0891da5735.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2478/amns.2021.1.00094"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

New Analytical Solutions for Time-Fractional Kolmogorov–Petrovsky–Piskunov Equation with Variety of Initial Boundary Conditions

Thanon Korkiatsakul, Sanoe Koonprasert, Khomsan Neamprem
<span title="2019-09-03">2019</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ye33srllvnanjouxn4tmrfgjsq" style="color: black;">Mathematics</a> </i> &nbsp;
derivative to obtain analytical solutions for FKPP equation with three different types of Initial Boundary conditions (Dirichlet, Dirichlet–Neumann, and Neumann–Robin).  ...  In this paper, we develop a framework wavelet, including shift Chebyshev polynomial of the first kind as a mother wavelet, and also construct some operational matrices that represent Caputo fractional  ...  Acknowledgments: We would like to thank the Department of Mathematics, Faculty of Applied Science and Graduate College, King Mongkut's University of Technology North Bangkok for supporting this work.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/math7090813">doi:10.3390/math7090813</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/s4e4tfw5trcjvj5to5l6bzpvim">fatcat:s4e4tfw5trcjvj5to5l6bzpvim</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200209205018/https://res.mdpi.com/d_attachment/mathematics/mathematics-07-00813/article_deploy/mathematics-07-00813-v2.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/a6/6b/a66b652f251c428e05999fb87b69a05f80df0b9d.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/math7090813"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> mdpi.com </button> </a>

A New Efficient Method for the Numerical Solution of Linear Time-Dependent Partial Differential Equations

Mina Torabi, Mohammad-Mehdi Hosseini
<span title="2018-10-01">2018</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/snp4qy45wbcu3bcifcnyqqg54m" style="color: black;">Axioms</a> </i> &nbsp;
This paper presents a new efficient method for the numerical solution of a linear time-dependent partial differential equation.  ...  The proposed technique includes the collocation method with Legendre wavelets for spatial discretization and the three-step Taylor method for time discretization.  ...  Acknowledgments: The authors wish to thank Seyed Mehdi Karbassi for his useful comments. Conflicts of Interest: The authors declare no conflict of interest.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/axioms7040070">doi:10.3390/axioms7040070</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ytjsr5uxzfdfvjed55d7vv5754">fatcat:ytjsr5uxzfdfvjed55d7vv5754</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190226154402/http://pdfs.semanticscholar.org/6f41/cb6dbae173a8a3b37f87d7d6d0aa43b81893.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/6f/41/6f41cb6dbae173a8a3b37f87d7d6d0aa43b81893.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/axioms7040070"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> mdpi.com </button> </a>

Two Hybrid Methods for Solving Two-Dimensional Linear Time-Fractional Partial Differential Equations

B. A. Jacobs, C. Harley
<span title="">2014</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dgcr32e3abazpn7i4ocwedp3fa" style="color: black;">Abstract and Applied Analysis</a> </i> &nbsp;
A computationally efficient hybridization of the Laplace transform with two spatial discretization techniques is investigated for numerical solutions of time-fractional linear partial differential equations  ...  Accurate numerical solutions are achieved in the Chebyshev collocation method subject to both Dirichlet and Neumann boundary conditions.  ...  Acknowledgment The authors would like to thank the referees for their comments that improved the quality of this paper.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2014/757204">doi:10.1155/2014/757204</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/twdidczygzgk7lnytpcugaqn2u">fatcat:twdidczygzgk7lnytpcugaqn2u</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170820003249/http://downloads.hindawi.com/journals/aaa/2014/757204.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/f5/d9/f5d983357724814c9386eb36e0c0d3a2667c6eba.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2014/757204"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> hindawi.com </button> </a>

Legendre wavelets method for the numerical solution of fractional integro-differential equations with weakly singular kernel

Mingxu Yi, Lifeng Wang, Jun Huang
<span title="">2016</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/gtpvsgujvfb5fjb2m4xzlxum6a" style="color: black;">Applied Mathematical Modelling</a> </i> &nbsp;
, have been obtained by Legendre wavelets method.  ...  Highlights  Approximations of the fractional integro-differential equations are obtained.  Fractional integration operational matrix of Legendre wavelets is derived.  Reducing the initial problem to  ...  Acknowledgments The authors are very grateful to the reviewers and the editor for their constructive comments and valuable suggestions to improve the presentation of the paper.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.apm.2015.10.009">doi:10.1016/j.apm.2015.10.009</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/g3lwxfrnpnf3jpzpmaoos5pmii">fatcat:g3lwxfrnpnf3jpzpmaoos5pmii</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200320233209/http://www.khuisf.ac.ir/prof/images/Uploaded_files/Omidi%5B3206101%5D.PDF" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/fc/28/fc28c44ab1fb34726cab9e9c2b863081baf40089.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.apm.2015.10.009"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Numerical Simulation of One-Dimensional Fractional Nonsteady Heat Transfer Model Based on the Second Kind Chebyshev Wavelet

Fuqiang Zhao, Jiaquan Xie, Qingxue Huang
<span title="">2017</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/3s4wom7forhp3klujcroiocrpi" style="color: black;">Discrete Dynamics in Nature and Society</a> </i> &nbsp;
compared with those obtained by CAS wavelet method.  ...  In the current study, a numerical technique for solving one-dimensional fractional nonsteady heat transfer model is presented.  ...  In [28] , a new matrix method is proposed to solve two-dimensional time-dependent diffusion equations with Dirichlet boundary conditions.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2017/2658124">doi:10.1155/2017/2658124</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/cncyo6tlv5c7zgmb7orwxajfae">fatcat:cncyo6tlv5c7zgmb7orwxajfae</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190302205532/http://pdfs.semanticscholar.org/a1ff/60d6b3dfd8fcfb6ec72ed2af798c5bd9a22f.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/a1/ff/a1ff60d6b3dfd8fcfb6ec72ed2af798c5bd9a22f.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2017/2658124"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> hindawi.com </button> </a>

Numerical Solution of Partial Integrodifferential Equations of Diffusion Type

Imran Aziz, Imran Khan
<span title="">2017</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wpareqynwbgqdfodcyhh36aqaq" style="color: black;">Mathematical Problems in Engineering</a> </i> &nbsp;
A collocation method based on linear Legendre multiwavelets is developed for numerical solution of one-dimensional parabolic partial integrodifferential equations of diffusion type.  ...  Such equations have numerous applications in many problems in the applied sciences to model dynamical systems.  ...  Wavelets have been used for numerical solutions of integral equations [19] , integrodifferential equations [20] , fractional diffusion-wave equation [21] , ordinary differential equations [22] , and  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2017/2853679">doi:10.1155/2017/2853679</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/gz5z43jvpbhxfbm6arfbxhpr4m">fatcat:gz5z43jvpbhxfbm6arfbxhpr4m</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190302172803/http://pdfs.semanticscholar.org/9f77/ae0018bcf867d2c7eab670f70d9e82f99cbb.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/9f/77/9f77ae0018bcf867d2c7eab670f70d9e82f99cbb.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2017/2853679"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> hindawi.com </button> </a>

A wavelet method for nonlinear variable-order time fractional 2D Schrödinger equation

Masoumeh Hosseininia, ,Faculty of Mathematics, Yazd University, Yazd, 89195-741, Iran, Mohammad Hossein Heydari, Carlo Cattani, ,Department of Mathematics, Shiraz University of Technology, Shiraz, 71555-313, Iran, ,Engineering School (DEIM), University of Tuscia, Viterbo, 01100, Italy
<span title="">2018</span> <i title="American Institute of Mathematical Sciences (AIMS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/fk5exokwondbhhgnzgdqz74oma" style="color: black;">Discrete and Continuous Dynamical Systems. Series S</a> </i> &nbsp;
In this study, an efficient semi-discrete method based on the twodimensional Legendre wavelets (2D LWs) is developed to provide approximate solutions for nonlinear variable-order time fractional two-dimensional  ...  To illustrate the applicability, validity and accuracy of the wavelet method, some numerical test examples are solved using the suggested method.  ...  A computational method based on these basis functions is proposed in [36] to solve fractional partial differential equations subject to Dirichlet boundary conditions.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3934/dcdss.2020295">doi:10.3934/dcdss.2020295</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/k5prdiesqzaspjhr6hph6ecu3q">fatcat:k5prdiesqzaspjhr6hph6ecu3q</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20201105103424/https://www.aimsciences.org/article/exportPdf?id=8a2303ab-eaad-4360-b5f9-1ed1d7812927" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/4b/d6/4bd60d02a2a4a4002f2d796a0531151ae3db65ec.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3934/dcdss.2020295"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Approximate Solutions for Fractional Boundary Value Problems via Green-CAS Wavelet Method

Muhammad Ismail, Umer Saeed, Jehad Alzabut, Mujeeb ur Rehman
<span title="2019-12-02">2019</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ye33srllvnanjouxn4tmrfgjsq" style="color: black;">Mathematics</a> </i> &nbsp;
In this study, we present a novel numerical scheme for the approximate solutions of linear as well as non-linear ordinary differential equations of fractional order with boundary conditions.  ...  Quasilinearization technique is used to transform non-linear fractional differential equations to linear equations and then Green-CAS method is applied.  ...  Acknowledgments: The third author would like to thank Prince Sultan University for funding this work through research group Non-Linear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/math7121164">doi:10.3390/math7121164</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jxctnimzrzbyjaccxsxkyrldky">fatcat:jxctnimzrzbyjaccxsxkyrldky</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20191208042832/https://res.mdpi.com/d_attachment/mathematics/mathematics-07-01164/article_deploy/mathematics-07-01164.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/3c/50/3c50c8b863270bf96c90acf634808079387e20f4.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/math7121164"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> mdpi.com </button> </a>

Local Fractional Variational Iteration Method for Local Fractional Poisson Equations in Two Independent Variables

Li Chen, Yang Zhao, Hossein Jafari, J. A. Tenreiro Machado, Xiao-Jun Yang
<span title="">2014</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dgcr32e3abazpn7i4ocwedp3fa" style="color: black;">Abstract and Applied Analysis</a> </i> &nbsp;
The approximate solutions with the nondifferentiable functions are obtained by using the local fractional variational iteration method.  ...  The local fractional Poisson equations in two independent variables that appear in mathematical physics involving the local fractional derivatives are investigated in this paper.  ...  The Legendre wavelet method was used to find the fractional Poisson equation with Dirichlet boundary conditions [12] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2014/484323">doi:10.1155/2014/484323</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/7fi3wadoszfk7iaghltmdvejey">fatcat:7fi3wadoszfk7iaghltmdvejey</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170812103045/http://recipp.ipp.pt/bitstream/10400.22/5494/1/ART11_JTM_DEE_2014.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/f9/b5/f9b52230a7896d83dc7e66ff9b10b200df2ef4c0.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2014/484323"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> hindawi.com </button> </a>

Polynomial differential quadrature method for numerical solutions of the generalized Fitzhugh–Nagumo equation with time-dependent coefficients

Ram Jiwari, R.K. Gupta, Vikas Kumar
<span title="">2014</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nlqmna5mwnfjhm6fv3u2smz7pu" style="color: black;">Ain Shams Engineering Journal</a> </i> &nbsp;
In this paper, polynomial differential quadrature method (PDQM) is applied to find the numerical solution of the generalized Fitzhugh-Nagumo equation with time-dependent coefficients in one dimensional  ...  The PDQM reduces the problem into a system of first order non-linear differential equations.  ...  [6] proposed an efficient collocation methods based on Chebyshev polynomials for solving multi-term linear and nonlinear fractional differential equations subject to initial conditions.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.asej.2014.06.005">doi:10.1016/j.asej.2014.06.005</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/iqdpaan4hreozj6r727do2mbum">fatcat:iqdpaan4hreozj6r727do2mbum</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170922063156/http://publisher-connector.core.ac.uk/resourcesync/data/elsevier/pdf/007/aHR0cDovL2FwaS5lbHNldmllci5jb20vY29udGVudC9hcnRpY2xlL3BpaS9zMjA5MDQ0NzkxNDAwMDgzNQ%3D%3D.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ea/08/ea08ea10648006c9fe12f9cb6da2836e5f7426c7.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.asej.2014.06.005"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> elsevier.com </button> </a>
&laquo; Previous Showing results 1 &mdash; 15 out of 144 results