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Solving singular boundary-value problems of higher even-order

โœ Scribed by Huanmin Yao; Yingzhen Lin

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
768 KB
Volume
223
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

In this paper,we present a new algorithm to solve a kind of singular boundary-value problems of higher even-order based on the theory of numerical analysis in the reproducing kernel space W 2m+3 2 [0, 1]. Singular boundary-value problem of sixth-order has been discussed for the problem

in the case of m = 2. The numerical results are compared with both the exact solution and its n-order (n = 1, 2, . . . , 6) derived functions in the example. It is demonstrated that our method is of high precision and significance.

๐Ÿ“œ SIMILAR VOLUMES

Higher order multi-point boundary value
Higher order multi-point boundary value problems
โœ John R. Graef; Lingju Kong; Qingkai Kong ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 154 KB

Solutions, boundary value problems, lower and upper solutions, Nagumo condition, fixed point theorem MSC (2010) 34B15, 34B18 We consider the boundary value problem u, u , . . . , u (n -1) = 0, t โˆˆ (0, 1), where n โ‰ฅ 2 and m โ‰ฅ 1 are integers, tj โˆˆ [0, 1] for j = 1, . . . , m, and f and gi , i = 0, .