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

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 integr...

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2012; no. 1; pp. 1528 - 1536-298
Main Authors Niu, Jing, Lin, Yingzhen, Cui, Minggen
Format Journal Article
LanguageEnglish
Published New York Hindawi Limiteds 01.01.2012
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Subjects
Algorithms
Approximation
Boundary value problems
Computer programs
Finite element analysis
Integrals
Kernels
Mathematical analysis
Mathematical models
Studies
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Summary: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.
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ISSN:1085-3375
1687-0409
DOI:10.1155/2012/414612