The design of new high-order group iterative method in the solution of two-dimensional fractional cable equation

Autor: Muhammad Asim Khan, Norhashidah Hj. Mohd Ali, Nur Nadiah Abd Hamid
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Alexandria Engineering Journal, Vol 60, Iss 4, Pp 3553-3563 (2021)
Druh dokumentu: article
ISSN: 1110-0168
DOI: 10.1016/j.aej.2021.01.008
Popis: In this article, a new high-order explicit group iterative scheme is developed for the solution of the two-dimensional time fractional cable equation. The proposed scheme is derived from the Crank-Nicolson (C-N) high-order compact finite difference method, where the Caputo discretization and C-N high-order approximations are used for the time fractional and space derivative respectively. The stability and convergence of the proposed scheme are also established. Finally, two numerical examples are presented to show the accuracy and efficiency of the scheme.
Databáze: Directory of Open Access Journals