Application of reproducing kernel method to third order three-point boundary value problems |
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Authors: | Boying Wu Xiuying Li |
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Institution: | Department of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, PR China |
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Abstract: | This paper investigates the analytical approximate solutions of third order three-point boundary value problems using reproducing kernel method. The solution obtained by using the method takes the form of a convergent series with easily computable components. However, the reproducing kernel method can not be used directly to solve third order three-point boundary value problems, since there is no method of obtaining reproducing kernel satisfying three-point boundary conditions. This paper presents a method for solving reproducing kernel satisfying three-point boundary conditions so that reproducing kernel method can be used to solve third order three-point boundary value problems. Results of numerical examples demonstrate that the method is quite accurate and efficient for singular second order three-point boundary value problems. |
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Keywords: | Three-point boundary value problem Reproducing kernel method |
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