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An efficient computational method for linear fifth-order two-point boundary value problems
Authors:Xueqin Lv  Minggen Cui
Institution:a School of Mathematics and Sciences, Harbin Normal University, Harbin, Heilongjiang, 150025, PR China
b Department of Mathematics, Harbin Institute of Technology, Weihai, 264209, PR China
Abstract:In this paper, we present a new algorithm to solve general linear fifth-order boundary value problems (BVPs) in the reproducing kernel space View the MathML source. Representation of the exact solution is given in the reproducing kernel space. Its approximate solution is obtained by truncating the n-term of the exact solution. Some examples are displayed to demonstrate the computational efficiency of the method.
Keywords:Fifth-order BVPs  Ordinary differential equation  Reproducing kernel space
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