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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:
65L10Boundary value problems for ODE (numerical methods)
34B16Singular nonlinear boundary value problems for ODE
46E22Hilbert spaces with reproducing kernels
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References:
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