Title : ( A Finite Difference Approximation for the Solution of the Space Fractional Diffusion Equation )
Authors: Haniye Hajinezhad , Ali Reza Soheili ,
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Abstract
The objective of this paper is to present a finite difference scheme that estimates the space fractional diffusion equation with the Caputo fractional derivative. The proposed scheme’s stability, and convergence are proved. In order to evaluate the effectiveness of this scheme, a series of tests are conducted. The results of these tests demonstrate the reliability and accuracy of the proposed scheme
Keywords
, Space fractional diffusion equation, Convergence, Stability, Finite difference method
@article{paperid:1098508,
author = {هانیه حاجی نژاد and Soheili, Ali Reza},
title = {A Finite Difference Approximation for the Solution of the Space Fractional Diffusion Equation},
journal = {Journal of Mathematical Extension},
year = {2024},
volume = {18},
number = {1},
month = {January},
issn = {1735-8299},
pages = {1--14},
numpages = {13},
keywords = {Space fractional diffusion equation; Convergence; Stability; Finite difference method},
}
%0 Journal Article
%T A Finite Difference Approximation for the Solution of the Space Fractional Diffusion Equation
%A هانیه حاجی نژاد
%A Soheili, Ali Reza
%J Journal of Mathematical Extension
%@ 1735-8299
%D 2024
