Numerical Solution of Seventh-Order Boundary Value Problems by a Novel Method

被引：14

作者：

Inc, Mustafa ^{[1
]}

Akgul, Ali ^{[2
,3
]}

机构：

[1] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey

[2] Dicle Univ, Fac Educ, Dept Math, TR-21280 Diyarbakir, Turkey

[3] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

EFFICIENT COMPUTATIONAL METHOD; LAPLACE DECOMPOSITION METHOD; REPRODUCING KERNEL; ALGORITHM; EQUATION;

D O I：

10.1155/2014/745287

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We demonstrate the efficiency of reproducing kernel Hilbert space method on the seventh-order boundary value problems satisfying boundary conditions. These results have been compared with the results that are obtained by variational iteration method (VIM), homotopy perturbation method (HPM), Adomian decomposition method (ADM), variation of parameters method (VPM), and homotopy analysis method (HAM). Obtained results show that our method is very effective.

引用

页数：9

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