Variational iteration method for the time-fractional Fornberg-Whitham equation

被引：53

作者：

Sakar, Mehmet Giyas ^{[1
]}

Erdogan, Fevzi ^{[1
]}

Yildirim, Ahmet ^{[2
]}

机构：

[1] Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey

[2] Ege Univ, Fac Sci, Dept Math, TR-35100 Bornova, Turkey

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 63卷 / 09期

关键词：

Variational iteration method; Fractional Fornberg-Whitham equation; Caputo derivative; Approximate solution; Lagrange multiplier; PARTIAL-DIFFERENTIAL-EQUATIONS; APPROXIMATE ANALYTICAL SOLUTION; HOMOTOPY ANALYSIS METHOD; FLUID;

D O I：

10.1016/j.camwa.2012.01.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents the approximate analytical solutions to solve the nonlinear Fornberg-Whitham equation with fractional time derivative. By using initial values, explicit solutions of the equations are solved by using a reliable algorithm like the variational iteration method. The fractional derivatives are taken in the Caputo sense. The present method performs extremely well in terms of efficiency and simplicity. Numerical results for different particular cases of a are presented graphically. (c) 2012 Elsevier Ltd. All rights reserved.

引用

页码：1382 / 1388

页数：7

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