Title : ( Gaussian radial basis function and quadrature Sinc method for two-dimensional space-fractional diffusion equations )
Authors: nafiseh noghrei , Asghar Kerayechian , Ali Reza Soheili ,
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Abstract
The combination of Sinc quadrature method and double exponential transformation (DE) is a powerful tool to approximate the singular integrals, and radial basis functions (RBFs) are useful for the higher-dimensional space problem. In this study, we develop a numerical method base on Gaussian-RBF combined with QR-factorization of arising matrix and DE-quadrature Sinc method to approximate the solution of two-dimensional space-fractional diffusion equations. When the number of central nodes increases, the ill-conditioning of resultant matrix can be eliminated by using GRBF-QR method. Two numerical examples have been presented to test the efficiency and accuracy of the method.
Keywords
, Space, fractional diffusion equations; Riemann, Liouville fractional derivatives; DE, Sinc quadrature method; Gaussian, RBF
@article{paperid:1087136,
author = {Noghrei, Nafiseh and Kerayechian, Asghar and Soheili, Ali Reza},
title = {Gaussian radial basis function and quadrature Sinc method for two-dimensional space-fractional diffusion equations},
journal = {Mathematical Sciences},
year = {2021},
volume = {16},
number = {1},
month = {April},
issn = {2008-1359},
pages = {87--96},
numpages = {9},
keywords = {Space-fractional diffusion equations; Riemann-Liouville fractional derivatives; DE-Sinc quadrature method; Gaussian-RBF},
}
%0 Journal Article
%T Gaussian radial basis function and quadrature Sinc method for two-dimensional space-fractional diffusion equations
%A Noghrei, Nafiseh
%A Kerayechian, Asghar
%A Soheili, Ali Reza
%J Mathematical Sciences
%@ 2008-1359
%D 2021
