Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method | Zendy

Yulan Wang | Zendy; Shuai Lü | Zendy; Fugui Tan | Zendy; Mingjing Du | Zendy; Hao Yu | Zendy

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Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method

Author(s) -

Yulan Wang,

Shuai Lü,

Fugui Tan,

Mingjing Du,

Hao Yu

Publication year - 2013

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 - 10.1155/2013/925192

Subject(s) - mathematics , reproducing kernel hilbert space , representer theorem , kernel (algebra) , hilbert space , boundary value problem , space (punctuation) , class (philosophy) , mathematical analysis , kernel method , order (exchange) , kernel embedding of distributions , pure mathematics , computer science , finance , artificial intelligence , support vector machine , economics , operating system

We use the reproducing kernel Hilbert space method to solve the fifth-order boundary value problems. The exact solution to the fifth-order boundary value problems is obtained in reproducing kernel space. The approximate solution is given by using an iterative method and the finite section method. The present method reveals to be more effective and convenient compared with the other methods

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