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A new algorithm for a class of singular boundary value problems. (English) Zbl 1175.65085

Summary: We present a new algorithm to solve a class of singular boundary value problems in the reproducing kernel space \(W_2^3[0,1]\). The algorithm is efficiently applied to solving some model problems with the comparison between the numerical solutions and the exact solutions. It is demonstrated by the numerical examples that this algorithm is of high precision.

MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B16 Singular nonlinear boundary value problems for ordinary differential equations
46E22 Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces)
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