A Decomposition Method for a Fractional-Order Multi-Dimensional Telegraph Equation via the Elzaki Transform

Symmetry

Jae Dong Chung¹  Nehad Ali Shah²  Ioannis Dassios³ 

[1] Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea;Informetrics Research Group, Ton Duc Thang University, Ho Chi Minh City 58307, Vietnam;School of Electrical and Electronic Engineering, University College Dublin, D04 Dublin, Ireland;

关键词: adomian decomposition method;    Elzaki transformation;    telegraph equations;    Caputo operator;   

DOI  :  10.3390/sym13010008

来源: DOAJ

【 摘 要 】

In this article, the Elzaki decomposition method is used to evaluate the solution of fractional-order telegraph equations. The approximate analytical solution is obtained within the Caputo derivative operator. The examples are provided as a solution to illustrate the feasibility of the proposed methodology. The result of the proposed method and the exact solution is shown and analyzed with figures help. The analytical strategy generates the series form solution, with less computational work and a fast convergence rate to the exact solutions. The obtained results have shown a useful and straightforward procedure to analyze the problems in related areas of science and technology.

【 授权许可】

Unknown