The Variational Iteration Method for a Class of Eighth-Order Boundary-Value Differential Equations

被引：9
作者：
Abbasbandy, Saeid [1 ]
Shirzadi, Ahmad [1 ]
机构：
[1] Imam Khomeini Int Univ, Dept Math, Ghazvin 3414916818, Iran
来源：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2008年 / 63卷 / 12期
关键词：
Variational Iteration Method; Eighth-Order Boundary-Value Problems;
D O I：
10.1515/zna-2008-1201
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
The variational iteration method, a well-known method for solving functional equations, is employed to solve a class of eighth-order boundary-value problems, which govern scientific and engineering experimentations. Some special cases of the mentioned equations are solved as examples to illustrate the ability and reliability of the method. The results reveal that the method is very effective and convenient.
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收藏
页码：745 / 751
页数：7
相关论文
共 30 条
[1]   A new application of He's variational iteration method for quadratic Riccati differential equation by using Adomian's polynomials [J].
Abbasbandy, S. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 207 (01) :59-63
[2]   Application of the Variational Iteration Method to Nonlinear Volterra's Integro-Differential Equations [J].
Abbasbandy, Saeid ;
Shivanian, Elyas .
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2008, 63 (09) :538-542
[3]   Numerical solution of non-linear Klein-Gordon equations by variational iteration method [J].
Abbasbandy, Saeid .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2007, 70 (07) :876-881
[4]   Numerical simulations of systems of PDEs by variational iteration method [J].
Batiha, B. ;
Noorani, M. S. M. ;
Hashim, I. ;
Batiha, K. .
PHYSICS LETTERS A, 2008, 372 (06) :822-829
[5]   Approximate analytical solution of the coupled sine-Gordon equation using the variational iteration method [J].
Batiha, B. ;
Noorani, M. S. M. ;
Hashim, I. .
PHYSICA SCRIPTA, 2007, 76 (05) :445-448
[6]   The multistage variational iteration method for a class of nonlinear system of ODEs [J].
Batiha, B. ;
Noorani, M. S. M. ;
Hashim, I. ;
Ismail, E. S. .
PHYSICA SCRIPTA, 2007, 76 (04) :388-392
[7]  
Biazar J, 2007, INT J NONLINEAR SCI, V8, P311
[8]  
Bildik N, 2006, INT J NONLIN SCI NUM, V7, P65
[9]   FINITE-DIFFERENCE METHODS FOR THE SOLUTION OF SPECIAL 8TH-ORDER BOUNDARY-VALUE-PROBLEMS [J].
BOUTAYEB, A ;
TWIZELL, EH .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1993, 48 (1-2) :63-75
[10]   The numerical solution of fifth-order boundary value problems with sixth-degree B-spline functions [J].
Çaglar, HN ;
Çaglar, SH ;
Twizell, EH .
APPLIED MATHEMATICS LETTERS, 1999, 12 (05) :25-30
123