Numerical solutions to the fractional-order wave equation-Reference-Cited by-同舟云学术

Numerical solutions to the fractional-order wave equation

Published:2022-11-17 Issue:05 Volume:34 Page:
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

Khader M. M.¹²,Inc Mustafa³⁴,Adel M.⁵⁶,Akinlar M. Ali⁷

Affiliation:

1. Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11566, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt

3. Department of Mathematics, Faculty of Science, Firat University, 23119 Elazig, Turkey

4. Department of Medical Research, China Medical University, Taichung, Taiwan

5. Department of Mathematics, Faculty of Science, Islamic University of Madinah, Medina, Saudi Arabia

6. Department of Mathematics, Faculty of Science Cairo University, Giza, Egypt

7. Engineering Sciences Department, Faculty of Engineering and Natural Sciences, Bandirma Onyedi Eylul University, 10200 Bandirma, Balikesir, Turkey

Abstract

New numerical solution to the linear fractional-order wave equation is presented. The Liouville–Caputo sense fractional-derivative operator and Crank–Nicholson finite difference method (CN-FDM) algorithm are employed. The stability of the present technique is considered by the fractional Von Neumann stability analysis method. Special example as an application of the method is provided. The obtained results are examined to check the derived stability condition of the proposed algorithm. Computational results indicate that the present numerical algorithm is efficient and applicable for the problem under study and many other problems.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183123500675

Reference24 articles.

1. Approximate analytical solution for seepage flow with fractional derivatives in porous media

2. AN EFFICIENT APPROACH FOR SOLVING FRACTIONAL VARIABLE ORDER REACTION SUB-DIFFUSION BASED ON HERMITE FORMULA

3. Numerical simulation by using the spectral collocation optimization method associated with Vieta-Lucas polynomials for a fractional model of non-Newtonian fluid

4. Numerical simulation using the non-standard weighted average FDM for 2Dim variable-order Cable equation

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