Adomian Decomposition Method and Padé Approximants for Nonlinear Differential-Difference Equations

被引：1

作者：

LIU YanMing CHEN Yong Nonlinear Science Center and Department of MathematicsNingbo UniversityNingbo China Institute of Theoretical ComputingEast China Normal UniversityShanghai China ^{[1
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机构：

来源：

CommunicationsinTheoreticalPhysics | 2009年 / 51卷 / 04期

关键词：

Adomian decomposition method; Padé; approximants; relativistic Toda lattice equation; modified Volterra lattice equation;

D O I：

暂无

中图分类号：

O175.7 [差分微分方程];

学科分类号：

070104 ;

摘要：

<正> Combining Adomian decomposition method(ADM)with Padé approximants,we solve two differential-difference equations(DDEs):the relativistic Toda lattice equation and the modified Volterra lattice equation.With thehelp of symbolic computation Maple,the results obtained by ADM-Pade technique are compared with those obtainedby using ADM alone.The numerical results demonstrate that ADM-Pade technique give the approximate solution withfaster convergence rate and higher accuracy and relative in larger domain of convergence than using ADM.

引用

页码：581 / 587

页数：7