Variational iteration method for Sturm-Liouville differential equations

被引：16
作者：
Altintan, D. [1 ,2 ]
Ugur, Oe [1 ]
机构：
[1] Middle E Tech Univ, Inst Appl Math, TR-06531 Ankara, Turkey
[2] Selcuk Univ, TR-42697 Konya, Turkey
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 02期
关键词：
Variational iteration method; Sturm-Liouville equations; Eigenvalue problems; Boundary value problems; Computing variations; Lagrange multipliers; BOUNDARY-VALUE-PROBLEMS;
D O I：
10.1016/j.camwa.2009.02.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, He's variational iteration method is applied to linear Sturm-Liouville eigenvalue and boundary value problems, including the harmonic oscillator. In this method, solutions of the problems are approximated by a set of functions that may include possible constants to be determined from the boundary conditions. By computing variations, the Lagrange multipliers are derived and the generalised expressions of variational iterations are constructed. Numerical results show that the method is simple, however powerful and effective. (c) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：322 / 328
页数：7
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