The Solution of a Class of Third-Order Boundary Value Problems by the Reproducing Kernel Method | Zendy

Zhiyuan Li | Zendy; Yulan Wang | Zendy; Fugui Tan | Zendy

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The Solution of a Class of Third-Order Boundary Value Problems by the Reproducing Kernel Method

Author(s) -

Zhiyuan Li,

Yulan Wang,

Fugui Tan

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 - 10.1155/2012/195310

Subject(s) - mathematics , kernel (algebra) , kernel method , computation , series (stratigraphy) , class (philosophy) , boundary (topology) , boundary value problem , simple (philosophy) , term (time) , nonlinear system , space (punctuation) , algorithm , mathematical analysis , pure mathematics , computer science , support vector machine , artificial intelligence , paleontology , philosophy , physics , epistemology , quantum mechanics , biology , operating system

This paper expands the application of reproducing kernel method to a class of third-orderboundary value problems with mixed nonlinear boundary conditions. The analytical solution is represented in the form of series in the reproducing kernel space. The n-term approximation is obtained andis proved to converge to the analytical solution. The numerical examples are given to demonstrate thecomputation efficiency of the presented method. Results obtained by the method indicate that the method issimple and effective

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