Title: Approximate analytical modelling of fuzzy reaction-diffusion equation

Authors: Sarmad A. Altaie; Azizan Saaban; Ali F. Jameel

Addresses: Computer Engineering Department, University of Technology-Iraq, Baghdad, Iraq; School of Quantitative Sciences, Universiti Utara Malaysia (UUM), Kedah, Malaysia ' School of Quantitative Sciences, Universiti Utara Malaysia (UUM), Kedah, Malaysia ' School of Quantitative Sciences, Universiti Utara Malaysia (UUM), Kedah, Malaysia

Abstract: In this work, we developed an approximate analytical method based on the optimal homotopy asymptotic method (OHAM) to solve fuzzy partial differential equations (FPDE). The method has been applied to fuzzy reaction-diffusion equation with initial condition. By means of illustrative examples, we demonstrated the accuracy, efficiency, and flexibility of the proposed method.

Keywords: fuzzy partial differential equations; FPDE; fuzzy reaction-diffusion equation; approximate-analytical methods; optimal homotopy asymptotic method; OHAM.

DOI: 10.1504/IJCSM.2021.114179

International Journal of Computing Science and Mathematics, 2021 Vol.13 No.2, pp.136 - 155

Received: 07 Jan 2019
Accepted: 11 Mar 2019
Published online: 13 Apr 2021 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article