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Searching the least value method for solving fourth-order nonlinear boundary value problems

โœ Scribed by Huanmin Yao; Minggen Cui

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
576 KB
Volume
59
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

This paper obtains a searching least value (SLV) method for a class of fourth-order nonlinear boundary value problems is investigated. The argument is based on the reproducing kernel space W 5 [0, 1]. The approximate solutions u n (x) and u (k) n (x) are uniformly convergent to the exact solution u(x) and u (k) (x) (k = 1, 2, 3, 4) respectively. Numerical results are verified that the method is quite accurate and efficient for this kind of problem.

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