Abdi, N. and Aminikhah, H. and Sheikhani, A. H. Refahi and Alavi, J. and Taghipour, M. and De León, Manuel (2021) An Efficient Explicit Decoupled Group Method for Solving Two–Dimensional Fractional Burgers’ Equation and Its Convergence Analysis. Advances in Mathematical Physics, 2021. pp. 1-20. ISSN 1687-9120
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Abstract
In this paper, the Crank–Nicolson (CN) and rotated four-point fractional explicit decoupled group (EDG) methods are introduced to solve the two-dimensional time–fractional Burgers’ equation. The EDG method is derived by the Taylor expansion and 45° rotation of the Crank–Nicolson method around the x and y axes. The local truncation error of CN and EDG is presented. Also, the stability and convergence of the proposed methods are proved. Some numerical experiments are performed to show the efficiency of the presented methods in terms of accuracy and CPU time.
Item Type: | Article |
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Subjects: | Euro Archives > Mathematical Science |
Depositing User: | Managing Editor |
Date Deposited: | 27 Jan 2023 04:49 |
Last Modified: | 08 Jun 2024 07:22 |
URI: | http://publish7promo.com/id/eprint/1407 |