Journal
APPLIED MATHEMATICS LETTERS
Volume 24, Issue 2, Pages 156-159Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2010.08.036
Keywords
Reproducing kernel; Multi-point boundary value problem; Numerical solutions
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In this work, we present an algorithm for solving fourth-order multi-point boundary value problems (BVPs) based on the reproducing kernel method (RKM). In previous works, the RKM has been used to solve various two-point BVPs. However, it cannot be used directly to solve multi-point BVPs, since it is very difficult to obtain a reproducing kernel satisfying multi-point boundary conditions. The aim of this work is to fill this gap. A numerical example is given to demonstrate the efficiency of the present method. The results obtained show that the present method is quite reliable for linear fourth-order multi-point BVPs. (C) 2010 Elsevier Ltd. All rights reserved.
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