An efficient computational method for linear fifth-order two-point boundary value problems

Authors:
Xueqin Lv;Minggen Cui
Affiliations:
School of Mathematics and Sciences, Harbin Normal University, Harbin, Heilongjiang, 150025, PR China;Department of Mathematics, Harbin Institute of Technology, Weihai, 264209, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

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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 W"2^6[a,b]. 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.