A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is
In this paper, homotopy analysis method (HAM) and variational iteration method (VIM) are utilized to derive the approximate solutions of the Tricomi equation. Afterwards, the HAM is optimized to accelerate the convergence of the series solution by minimizing its square residual error at any order of the approximation. It is found that effect of the optimal values of auxiliary parameter on the convergence of the series solution is not negligible. Furthermore, the present results are found todoi:10.1515/phys-2018-0022 fatcat:7gly33l37vgldpgdfb4565y5qu
more »... e well with those obtained through a closed-form equation available in the literature. To conclude, it is seen that the two are effective to achieve the solution of the partial differential equations.
Khoshrouye Ghiasi, R. Saleh DOI: 10.4236/am.2017.811113 ... Khoshrouye Ghiasi, R. Saleh DOI: 10.4236/am.2017.811113 1553 Applied Mathematics E. Khoshrouye Ghiasi, R. Saleh DOI: 10.4236/am.2017.811113 1556 Applied Mathematics through the HAM. ...doi:10.4236/am.2017.811113 fatcat:hiq6qbvb7jg53lg27rvlbzal2i
This paper shows an analysis of M EM S (micro electro mechanical systems) due to Lorentz force and mechanical shock. The formulation is based on a modified couple stress theory, the von Kármán geometric nonlinearity and Reynolds equation as well. The model contains a silicon microbeam, which is encircled by a stationary plate. The non-dimensional governing equations and associated boundary conditions are then solved iteratively through the Galerkin weighted method. The results show that pull-indoi:10.17265/2328-2231/2016.02.004 fatcat:6umod5w3mvhtzadx4fv2utgn2u
more »... voltage is dependent on the geometry nonlinearity. It is also demonstrated that by increasing voltage between the silicon microbeam and stationary plate, the pull-in instability happens.
This fact is also illustrated in Aziz (2016) and Khoshrouye Ghiasi and Saleh (2019). ... It should be noted that the Casson fluid is affected by the viscous force while the Lorentz force tends to decelerate flow of the fluid and retards its motion (Khoshrouye Ghiasi and Saleh, 2018c). ...doi:10.5098/hmt.12.4 fatcat:smevv5cdjjefta6gbabl4gu32q
Generating homotopy-based approaches (HBAs) in thermal-fluid sciences is an efficient manner for finding absolutely convergent series expansions. The main objective of this paper is to analyze the viscoelastic Walter's B fluid past a stretching wall. To answer this, the governing differential equation is derived by substituting similarity variables into the partial differential equations (PDEs) and associated boundary conditions. The present HBA is also developed by minimizing the averageddoi:10.30538/psrp-easl2019.0022 fatcat:iqzkkwf5hrdjli5ectk66xnd4q
more »... e residual error included in the quadratic resistance law (QRL). By comparing the present findings with those available in the literature, it is seen that the 9th-order HBA can provide an incredible degree of accuracy and reliability. Furthermore, it is found that the central processing unit (CPU) time is greatly reduced when the auxiliary parameter is selected ash=-0.122.
The aim of this paper is to find the approximate solution of HIV infection model of CD4+T cells. For this reason, the homotopy analysis transform method (HATM) is applied. The presented method is combination of traditional homotopy analysis method (HAM) and the Laplace transformation. The convergence of presented method is discussed by preparing a theorem which shows the capabilities of method. The numerical results are shown for different values of iterations. Also, the regions of convergencearXiv:1809.06232v2 fatcat:ef5pmo5fajccjixibhsi45yoty
more »... re demonstrated by plotting several h-curves. Furthermore in order to show the efficiency and accuracy of method, the residual error for different iterations are presented.
In this way, Khoshrouye Ghiasi and Saleh  employed a rather convergent feature of homotopy analysis method (HAM) by adding to the truncation technique, namely, tHAM, for solving the Falkner-Skan ...doi:10.30538/psrp-easl2020.0049 fatcat:lhqlz6s4anbclgssbhm2prwzzi