A finite difference approximation for the solution of the space fractional diffusion equation

Authors

  • Haniye Hajinezhad Department of Mathematics, Payame Noor University, Tehran, Iran
  • Ali Reza Soheili Department of Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad

Keywords:

Space fractional diffusion equation, Convergence, Stability, Finite difference method

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

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Published

2024-04-14

Issue

Vol. 18

Section

Vol. 18, No. 1, (2024)

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