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

Jiaquan Xie, Qingxue Huang, Fuqiang Zhao, Hailian Gui
2017 Boundary Value Problems  
In this study, the numerical technique based on two-dimensional block pulse functions (2D-BPFs) has been developed to approximate the solution of fractional Poisson type equations with Dirichlet and Neumann boundary conditions. These functions are orthonormal and have compact support on [0, 1]. The proposed method reduces the original problems to a system of linear algebra equations that can be solved easily by any usual numerical method. The obtained numerical results have been compared with
more » ... een compared with those obtained by the Legendre and CAS wavelet methods. In addition an error analysis of the method is discussed. Illustrative examples are included to demonstrate the validity and robustness of the technique.
doi:10.1186/s13661-017-0766-0 fatcat:yp3zwikdjvhvxp6gwimtx6ayee