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

被引：15

作者：

Shah, Nehad Ali ^{[1
,2
]}

Dassios, Ioannis ^{[3
]}

Chung, Jae Dong ^{[4
]}

机构：

[1] Ton Duc Thang Univ, Informetr Res Grp, Ho Chi Minh City 58307, Vietnam

[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City 58307, Vietnam

[3] Univ Coll Dublin, Sch Elect & Elect Engn, Dublin D04, Ireland

[4] Sejong Univ, Dept Mech Engn, Seoul 05006, South Korea

来源：

SYMMETRY-BASEL | 2021年 / 13卷 / 01期

关键词：

adomian decomposition method; Elzaki transformation; telegraph equations; Caputo operator;

D O I：

10.3390/sym13010008

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

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.

引用

页码：1 / 12

页数：12

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