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Using reproducing kernel for solving a class of singular weakly nonlinear boundary value problems. (English) Zbl 1185.65134
The authors discuss three new algorithms to solve a class of singular weakly non-linear two point boundary value problems in a reproducing kernel space. The algorithms are tested to solve some model problems. Numerical results shows that the algorithms are highly accurate.

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