The Comparative Study for Solving Fractional-Order Fornberg-Whitham Equation via ρ-Laplace Transform

被引：42

作者：

Sunthrayuth, Pongsakorn ^{[1
]}

Zidan, Ahmed M. ^{[2
,3
]}

Yao, Shao-Wen ^{[4
]}

Shah, Rasool ^{[5
]}

Inc, Mustafa ^{[6
,7
,8
]}

机构：

[1] Rajamangala Univ Technol Thanyaburi RMUTT, Fac Sci & Technol, Dept Math & Comp Sci, Pathum Thani 12110, Thailand

[2] King Khalid Univ, Dept Math, Coll Sci, POB 9004, Abha 61413, Saudi Arabia

[3] Al Azhar Univ, Dept Math, Fac Sci, Assiut 71511, Egypt

[4] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China

[5] Abdul Wali Khan Univ, Dept Math, Mardan 23200, Pakistan

[6] Biruni Univ, Dept Comp Engn, TR-34096 Istanbul, Turkey

[7] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey

[8] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

来源：

SYMMETRY-BASEL | 2021年 / 13卷 / 05期

基金：

中国国家自然科学基金;

关键词：

rho-Laplace variational iteration method; rho-Laplace decomposition method; partial differential equation; caputo operator; fractional Fornberg-Whitham equation (FWE); VARIATIONAL ITERATION METHOD; CONSERVATION-LAWS; SHEHU TRANSFORM; DIFFERENTIAL-EQUATIONS; CALCULUS; SYSTEM;

D O I：

10.3390/sym13050784

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, we also introduced two well-known computational techniques for solving the time-fractional Fornberg-Whitham equations. The methods suggested are the modified form of the variational iteration and Adomian decomposition techniques by rho-Laplace. Furthermore, an illustrative scheme is introduced to verify the accuracy of the available methods. The graphical representation of the exact and derived results is presented to show the suggested approaches reliability. The comparative solution analysis via graphs also represented the higher reliability and accuracy of the current techniques.

引用

页数：15