STABILITY AND CONVERGENCE OF IMPLICIT EULER METHOD FOR FRACTIONAL DIFFUSION EQUATION

ABU-SAMAN, AWNI M. and ASSAF, ATEF M. (2015) STABILITY AND CONVERGENCE OF IMPLICIT EULER METHOD FOR FRACTIONAL DIFFUSION EQUATION. Asian Journal of Mathematics and Computer Research, 6 (2). pp. 151-158.

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Abstract

This paper describes a practical numerical algorithm to solve the one dimensional fractional diffusion equation with variable coefficients. The algorithm, based on Implicit Euler method and Grunwald a approximation to fractional derivatives, will be implemented and simulated as a user-subroutine on MATLAB. The user-subroutine is considering MATLAB features for reducing round-off error. Analytical and computational results show that the algorithm is consistent and unconditionally stable.

Item Type: Article
Subjects: Pustaka Library > Mathematical Science
Depositing User: Unnamed user with email support@pustakalibrary.com
Date Deposited: 27 Dec 2023 07:39
Last Modified: 27 Dec 2023 07:39
URI: http://archive.bionaturalists.in/id/eprint/2118

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