An efficient computational method for linear fifth-order two-point boundary value problems |
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Authors: | Xueqin Lv Minggen Cui |
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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 |
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Abstract: | In this paper, we present a new algorithm to solve general linear fifth-order boundary value problems (BVPs) in the reproducing kernel space . 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. |
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Keywords: | Fifth-order BVPs Ordinary differential equation Reproducing kernel space |
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