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A new algorithm for a class of linear nonlocal boundary value problems based on the reproducing kernel method

โœ Scribed by B.Y. Wu; X.Y. Li

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
203 KB
Volume
24
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

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.

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