Fast hybrid explicit group methods for solving 2D fractional advection-diffusion equation

• Published in: AIMS mathematics Vol. 7; no. 9; pp. 15854 - 15880
• Main Authors: Salama, Fouad Mohammad, Hamid, Nur Nadiah Abd, Ali, Umair, Ali, Norhashidah Hj. Mohd
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2022
• Subjects: caputo-type fractional derivative; explicit group methods; finite difference method; fractional advection-diffusion problem; laplace transform; stability and convergence

In recent years, fractional partial differential equations (FPDEs) have been viewed as powerful mathematical tools for describing ample phenomena in various scientific disciplines and have been extensively researched. In this article, the hybrid explicit group (HEG) method and the modified hybrid ex...