A numerical solution to nonlinear multi‐point boundary value problems in the reproducing kernel space |
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| Authors: | Yingzhen Lin Minggen Cui |
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| Institution: | Department of Mathematics, Harbin Institute of Technology at Weihai, Shandong, 264209, People's Republic of China |
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| Abstract: | 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. Copyright © 2010 John Wiley & Sons, Ltd. |
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| Keywords: | nonlinear problems multi‐point boundary value conditions reproducing kernel space |
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