Application of new iterative transform method and modified fractional homotopy analysis transform method for fractional Fornberg-Whitham equation

被引：16

作者：

Wang, Kangle ^{[1
]}

Liu, Sanyang ^{[1
]}

机构：

[1] Xidian Univ, Sch Math & Stat, Xian 710118, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 05期

关键词：

Elzaki transform; iterative transform; homotopy analysis; fractional Fornberg-Whitham equation; LAPLACE TRANSFORMATION; DECOMPOSITION METHOD; PERTURBATION;

D O I：

10.22436/jnsa.009.05.42

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to present a new iterative transform method (NITM) and a modified fractional homotopy analysis transform method (MFHATM) for time-fractional Fornberg-Whitham equation. The numerical results show that the MFHATM and NITM are very efficient and highly accurate for nonlinear fractional differential equations. (C) 2016 All rights reserved.

引用

页码：2419 / 2433

页数：15

共 32 条

[11]

Khalid M, 2015, Mathematical Theory and Modeling, V5, P89

[12] A new analytical solution procedure for nonlinear integral equations [J].

Khan, Majid ;

Gondal, Muhammad Asif ;

Kumar, Sunil .

MATHEMATICAL AND COMPUTER MODELLING, 2012, 55 (7-8) :1892-1897

[13]

Khan Y, 2012, U POLITEH BUCH SER A, V74, P57

[14]

Kumar D., 2015, J ASS ARAB U BASIC A, V17, P20, DOI [10.1016/j.jaubas.2014.02.002, DOI 10.1016/J.JAUBAS.2014.02.002, DOI 10.1016/J.JAUBAS.2014]

[15] Numerical computation of nonlinear shock wave equation of fractional order [J].

Kumar, Devendra ;

Singh, Jagdev ;

Kumar, Sunil ;

Sushila ;

Singh, B. P. .

AIN SHAMS ENGINEERING JOURNAL, 2015, 6 (02) :605-611

[16] A fractional model of the diffusion equation and its analytical solution using Laplace transform [J].

Kumar, S. ;

Yildirim, A. ;

Khan, Yasir ;

Wei, L. .

SCIENTIA IRANICA, 2012, 19 (04) :1117-1123

[17]

Kumar S, 2014, Egyptian Journal of Basic and Applied Sciences, V1, P177, DOI DOI 10.1016/J.EJBAS.2014.10.003

[18] A new analytical modelling for fractional telegraph equation via Laplace transform [J].

Kumar, Sunil .

APPLIED MATHEMATICAL MODELLING, 2014, 38 (13) :3154-3163

[19]

Liao S, 2004, APPL MATH COMPUT, V147, P499, DOI [10.1016/S0096-3003(02)00790-7, 10.1016/50096-3003(02)00790-7]

[20]

Liao S., 1997, Communications in Nonlinear Science Numerical Simulation, V2, P95, DOI [DOI 10.1016/S1007-5704(97)90047-2, 10.1016/S1007-5704(97)90047-2]

← 1 2 3 4 →