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• W2063933735 abstract "In this paper, a new reproducing kernel space is constructed skillfully in order to solve a class of nonlinear four-point boundary value problems. The exact solution of the linear problem can be expressed in the form of series and the approximate solution of the nonlinear problem is given by the iterative formula. Compared with known investigations, the advantages of our method are that the representation of exact solution is obtained in a new reproducing kernel Hilbert space and accuracy of numerical computation is higher. Meanwhile we present the convergent theorem, complexity analysis and error estimation. The performance of the new method is illustrated with several numerical examples." @default.
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• W2063933735 date "2010-12-01" @default.
• W2063933735 modified "2023-10-16" @default.
• W2063933735 title "Numerical method for solving the nonlinear four-point boundary value problems" @default.
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• W2063933735 doi "https://doi.org/10.1016/j.cnsns.2010.02.013" @default.
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