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.2021.10036895
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 *