On the numerical solution of conformable fractional diffusion problem with small delay

BAYRAK, MİNE; DEMİR, ALİ; Ozbilge, Ebru

doi:10.1002/num.22640

On the numerical solution of conformable fractional diffusion problem with small delay

Copy For Citation

BAYRAK M. A. , DEMİR A. , Ozbilge E.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2020 (Journal Indexed in SCI)

Publication Type: Article / Article
Volume:
Publication Date: 2020
Doi Number: 10.1002/num.22640
Title of Journal : NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Abstract

This study investigates approximate solution of the time-fractional Fisher equation with small delay by means of residual the residual power series method (RPSM). Since the delay term is small, the time fractional Fisher equation is expanded in powers series of delay term epsilon which allows to construct the approximate solution of time-fractional of Fisher equation by means of RPSM. The obtained results illustrative examples show that the proposed method in this study is very powerful and efficient for the solution of the time-fractional Fisher equation with small delay.