✦ LIBER ✦
A numerical solution to nonlinear multi-point boundary value problems in the reproducing kernel space
✍ Scribed by Yingzhen Lin; Minggen Cui
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 97 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1327
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✦ Synopsis
In this paper, a new numerical algorithm is provided to solve nonlinear multi-point boundary value problems in a very favorable reproducing kernel space, which satisfies all complex boundary conditions. Its reproducing kernel function is discussed in detail. The theorem proves that the approximate solution and its first-and second-order derivatives all converge uniformly. The numerical experiments show that the algorithm is quite accurate and efficient for solving nonlinear multi-point boundary value problems.