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A numerical algorithm for solving a class of linear nonlocal boundary value problems

โœ Scribed by Yingzhen Lin; Jinnan Lin

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
298 KB
Volume
23
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

algorithm a b s t r a c t

In order to solve a class of linear nonlocal boundary value problems, a new reproducing kernel space satisfying nonlocal conditions is constructed carefully. This makes it easy to solve the problems. Furthermore, the exact solutions of the problems can be expressed in series form. The numerical results demonstrate that the new method is quite accurate and efficient for solving fourth-order nonlocal boundary value problems.

๐Ÿ“œ SIMILAR VOLUMES

A new algorithm for a class of linear no
A new algorithm for a class of linear nonlocal boundary value problems based on the reproducing kernel method
โœ B.Y. Wu; X.Y. Li ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 203 KB

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