Numerical Simulation of Fractional Fornberg-Whitham Equation by Differential Transformation Method

被引：39

作者：

Merdan, Mehmet ^{[2
]}

Gokdogan, Ahmet ^{[2
]}

Yildirim, Ahmet ^{[1
,3
]}

Mohyud-Din, Syed Tauseef ^{[4
]}

机构：

[1] Ege Univ, Dept Math, TR-35000 Izmir, Turkey

[2] Gumushane Univ, Dept Engn Math, TR-29100 Gumushane, Turkey

[3] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

[4] HITEC Univ, Taxila, Wah Cantt, Pakistan

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

关键词：

HOMOTOPY PERTURBATION METHOD; APPROXIMATE ANALYTICAL SOLUTION; DIFFUSION EQUATION; FLUID; TERM; FLOW;

D O I：

10.1155/2012/965367

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An approximate analytical solution of fractional Fornberg-Whitham equation was obtained with the help of the two-dimensional differential transformation method (DTM). It is indicated that the solutions obtained by the two-dimensional DTM are reliable and present an effective method for strongly nonlinear partial equations. Exact solutions can also be obtained from the known forms of the series solutions.

引用

页数：8

共 38 条

[1] The homotopy analysis method for solving the Fornberg-Whitham equation and comparison with Adomian's decomposition method [J].