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

Jing Niu | Zendy; Yingzhen Lin | Zendy; Minggen Cui | Zendy

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

Author(s) -

Jing Niu,

Yingzhen Lin,

Minggen Cui

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/414612

Subject(s) - mathematics , kernel (algebra) , boundary value problem , space (punctuation) , simple (philosophy) , mathematical analysis , point (geometry) , series (stratigraphy) , representer theorem , kernel method , kernel embedding of distributions , pure mathematics , geometry , computer science , paleontology , philosophy , epistemology , artificial intelligence , support vector machine , biology , operating system

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

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