Finding approximate solutions for a class of third-order non-linear boundary value problems via the decomposition method of Adomian

被引：41

作者：

Dehghan, Mehdi ^{[1
]}

Tatari, Mehdi ^{[2
]}

机构：

[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran, Iran

[2] Isfahan Univ Technol, Dept Math Sci, Esfahan, Iran

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2010年 / 87卷 / 06期

关键词：

third-order non-linear boundary value problems; Adomian decomposition method; closed form solution; NUMERICAL-SOLUTION; EXISTENCE RESULT; HIGHER-ORDER; CONVERGENCE; EQUATION;

D O I：

10.1080/00207160802270853

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Third-order boundary value problems (BVPs) were discussed in many papers in recent years. The existence of solutions to these problems is shown under certain conditions. Finding the exact or approximate solution of these problems is not easy especially when the boundary conditions are non-linear. In this paper, we present a method for solving a class of third-order BVPs with non-linear boundary conditions. The decomposition procedure of Adomian is used for solving these problems and the advantages of this method over the other existing methods are shown. Numerical results are presented to show the efficiency of the developed method.

引用

页码：1256 / 1263

页数：8

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