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New algorithm for second-order boundary value problems of integro-differential equation

โœ Scribed by Wang Yulan; Temuer Chaolu; Pang Jing

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
422 KB
Volume
229
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

This paper is concerned with a new algorithm for giving the analytical and approximate solutions of a class of boundary value problems in the reproducing kernel space. The analytical solution u(x) and approximate solution u n (x) are represented in terms of series. For any initial function u

Two numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by the method indicate the method is simple and effective.

๐Ÿ“œ SIMILAR VOLUMES

Periodic boundary value problems for sec
Periodic boundary value problems for second-order impulsive integro-differential equations
โœ Xuxin Yang; Jianhua Shen ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 180 KB

By developing a new comparison result and using the monotone iterative technique, we are able to obtain existence of minimal and maximal solutions of periodic boundary value problems for second-order nonlinear impulsive integro-differential equations of mixed type.