VARIATIONAL ITERATION METHOD FOR SOLVING NONLINEAR HIGHER-ORDER INITIAL AND BOUNDARY VALUE PROBLEMS

被引：2
|
作者：
Mohyud-Din, Syed Tauseef [1 ]
Noor, Muhammad Aslam [1 ]
Noor, Khalida Inayat [1 ]
机构：
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
来源：
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2009年 / 6卷 / 04期
关键词：
Variational iteration method; nonlinear boundary value problems; Boussinesq equations; error estimates; Adomian's polynomials; Burger's equations; HOMOTOPY PERTURBATION METHOD; NUMERICAL-SOLUTION; SPLINE SOLUTIONS;
D O I：
10.1142/S021987620900198X
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we apply variational iteration method (VIM) and variational iteration method using Adomian's polynomials for solving nonlinear boundary value problems. The proposed iterative scheme finds the solution without any discretization, linearization, perturbation, or restrictive assumptions. Several examples are given to verify the accuracy and efficiency of the method. We have also considered an example where the proposed VIM is not reliable.
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页码：521 / 555
页数：35
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