Finding Discontinuous Solutions to the Differential-Difference Equations by the Homotopy Analysis Method

被引：0
|
作者：
邹丽 [1 ,2 ,3 ]
邹东阳 [1 ,2 ]
王振 [4 ]
宗智 [2 ,5 ]
机构：
[1] School of Aeronautics and Astronautics,Dalian University of Technology
[2] State Key Laboratory of Structure Analysis for Industrial Equipment
[3] Department of Mathematics,Fluid Dynamics Group,Imperial College
[4] Department of Applied Mathematics,Dalian University of Technology
[5] School of Naval Architecture and Ocean Engineering,Dalian University of
来源：
Chinese Physics Letters | 2013年 / 30卷 / 02期
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中图分类号：
O175.7 [差分微分方程];
学科分类号：
摘要：
An analytic method,namely the homotopy analysis method,is applied to nonlinear problems with discontinuity governed by the differential-difference equation.Purely analytic solutions are given for nonlinear problems with discontinuity with a global convergence.This method provides a new analytical approach to solve nonlinear problems with discontinuity.Comparisons are made between the results of the proposed method and the exact solutions.The results reveal that the proposed method is very effective and convenient.
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页码：15 / 19
页数：5
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