Numerical investigation of fractional-order wave-like equation

AIMS Mathematics

article

M. Mossa Al-Sawalha¹  Rasool Shah²  Kamsing Nonlaopon³  Osama Y. Ababneh⁴ 

[1] Department of Mathematics, College of Science, University of Ha'il;Department of Mathematics, Abdul Wali Khan University;Department of Mathematics, Faculty of Science, Khon Kaen University;Department of Mathematics, Faculty of Science, Zarqa University

关键词: Homotopy perturbation method;    Adomian decomposition method;    Yang transform;    nonlinear time-fractional wave-like equations;    Caputo operator;   

DOI  :  10.3934/math.2023265

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

The two approaches to solving nonlinear Caputo time-fractional wave-like equations with variable coefficients are examined in this study. The Homotopy perturbation transform method and the Yang transform decomposition method are the names of these two techniques. Three separate numerical examples are provided to demonstrate the effectiveness and precision of the suggested methods. The results were acquired to demonstrate the effectiveness and power of the two approaches, providing estimates with better precision and closed form solutions. The solutions to these kinds of equations can be found using the suggested methods as infinite series, and when these series are in closed form, they provide the exact solution. The suggested techniques have been demonstrated to be effective and efficient in their application. Three numerical examples are used to examine the methods accuracy and effectiveness.

【 授权许可】

CC BY