Numerical solutions for some generalized coupled nonlinear evolution equations

被引：12

作者：

Arafa, A. A. M. ^{[1
]}

Rida, S. Z. ^{[1
]}

机构：

[1] S Valley Univ, Dept Math, Fac Sci, Qena, Egypt

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2012年 / 56卷 / 11-12期

关键词：

The decomposition method; Coupled evolution equation; Numerical solution; Fractional calculus; DISPERSIVE DIELECTRIC FIBERS; SCHRODINGER-EQUATION; OPTICAL SOLITONS; TRANSMISSION; STABILITY; PLASMAS; PULSES; WAVE;

D O I：

10.1016/j.mcm.2011.12.046

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, the Adomian decomposition method (ADM) is presented for the numerical solutions of the coupled evolution equations of fractional order. The ADM in applied mathematics can be used as an alternative method for obtaining analytic and approximate solutions for different types of fractional differential equations. The fractional derivatives are described in the Caputo sense. The given solutions are compared with the traveling wave solutions. The results obtained are then graphically represented. Finally, numerical results demonstrate the accuracy, efficiency and high rate of convergence of this method. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：268 / 277

页数：10

共 18 条

[1] A REVIEW OF THE DECOMPOSITION METHOD IN APPLIED-MATHEMATICS [J].