Constructive approximation of solution for fourth-order nonlinear boundary value problems

✍ Scribed by Juan Du; Minggen Cui

• Publisher: John Wiley and Sons
• Year: 2009
• Tongue: English
• Weight: 122 KB
• Volume: 32
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.1064

✦ Synopsis

Abstract

In this paper, we obtain a sequence of approximate solution converging uniformly to the exact solution of a class of fourth‐order nonlinear boundary value problems. Its exact solution is represented in the form of series in the reproducing kernel space. The n‐term approximation u~n~(x) is proved to converge to the exact solution u(x). Moreover, the derivatives of u~n~(x) are also convergent to the derivatives of u(x). Copyright © 2008 John Wiley & Sons, Ltd.