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

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
Main Authors: Jing Niu, Yingzhen Lin, Minggen Cui
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/414612
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spelling doaj-fb7255d1f6ab4915807268dabc7063332020-11-24T21:35:50ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/414612414612Approximate Solutions to Three-Point Boundary Value Problems with Two-Space Integral Condition for Parabolic EquationsJing Niu0Yingzhen Lin1Minggen Cui2Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaWe 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.http://dx.doi.org/10.1155/2012/414612
collection DOAJ
language English
format Article
sources DOAJ
author Jing Niu
Yingzhen Lin
Minggen Cui
spellingShingle Jing Niu
Yingzhen Lin
Minggen Cui
Approximate Solutions to Three-Point Boundary Value Problems with Two-Space Integral Condition for Parabolic Equations
Abstract and Applied Analysis
author_facet Jing Niu
Yingzhen Lin
Minggen Cui
author_sort Jing Niu
title Approximate Solutions to Three-Point Boundary Value Problems with Two-Space Integral Condition for Parabolic Equations
title_short Approximate Solutions to Three-Point Boundary Value Problems with Two-Space Integral Condition for Parabolic Equations
title_full Approximate Solutions to Three-Point Boundary Value Problems with Two-Space Integral Condition for Parabolic Equations
title_fullStr Approximate Solutions to Three-Point Boundary Value Problems with Two-Space Integral Condition for Parabolic Equations
title_full_unstemmed Approximate Solutions to Three-Point Boundary Value Problems with Two-Space Integral Condition for Parabolic Equations
title_sort approximate solutions to three-point boundary value problems with two-space integral condition for parabolic equations
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description 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.
url http://dx.doi.org/10.1155/2012/414612
work_keys_str_mv AT jingniu approximatesolutionstothreepointboundaryvalueproblemswithtwospaceintegralconditionforparabolicequations
AT yingzhenlin approximatesolutionstothreepointboundaryvalueproblemswithtwospaceintegralconditionforparabolicequations
AT minggencui approximatesolutionstothreepointboundaryvalueproblemswithtwospaceintegralconditionforparabolicequations
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