Abstract and Applied Analysis

Approximate Solutions to Three-Point Boundary Value Problems with Two-Space Integral Condition for Parabolic Equations

Jing Niu, Yingzhen Lin, and Minggen Cui

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Abstract

We construct a novel reproducing kernel space and give the expression of reproducing kernel skillfully. Based on the orthogonal basis of the reproducing kernel space, an efficient algorithm is provided firstly to solve a three-point boundary value problem of parabolic equations with two-space integral condition. The exact solution of this problem can be expressed by the series form. The numerical method is supported by strong theories. The numerical experiment shows that the algorithm is simple and easy to implement by the common computer and software.

Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 414612, 9 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1355495688

Digital Object Identifier
doi:10.1155/2012/414612

Mathematical Reviews number (MathSciNet)
MR2910728

Zentralblatt MATH identifier
1247.65137

Citation

Niu, Jing; Lin, Yingzhen; Cui, Minggen. Approximate Solutions to Three-Point Boundary Value Problems with Two-Space Integral Condition for Parabolic Equations. Abstr. Appl. Anal. 2012 (2012), Article ID 414612, 9 pages. doi:10.1155/2012/414612. https://projecteuclid.org/euclid.aaa/1355495688


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