New Implementation of Reproducing Kernel Hilbert Space Method for Solving a Class of Third-order Differential Equations

被引：3

作者：

Moradi, Eslam ^{[1
]}

Yusefi, Aasadolla ^{[1
]}

Abdollahzadeh, Abolfazl ^{[2
]}

Tila, Elham ^{[3
]}

机构：

[1] Kharazmi Univ, Fac Math Sci & Comp, Dept Math, 50 Taleghani Ave, Tehran 1561836314, Iran

[2] Birjand Univ, Fac Math Sci & Stat, Dept Math, Birjand, Iran

[3] Islamic Azad Univ, Dept Math Sci & Stat, Dezful Branch, Dezful, Iran

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2014年 / 12卷 / 04期

关键词：

Reproducing kernel Hilbert space method; Boundary value problems; Third-order differential equations; Approximatesolution;

D O I：

10.22436/jmcs.012.04.01

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we apply the new implementation of reproducing kernel Hilbert space method to give the approximate solution to some third-order boundaryvalue problems with variable coefficients. In this method, the analytical solution is expressed in the form of a series. At the end, two examples are given to illustrate implementation, accuracy and effectiveness of the method.

引用

页码：253 / 262

页数：10

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