Analytic-numeric treatment for handling system of second-order, three-point BVPs

In this paper, we present a novel numerical algorithm to handle system of second-order, three-point boundary value problems in a favorable reproducing kernel Hilbert space. The exact and approximate solutions of the system are given in a series form in the space W23 [0,1] with easily computable components using symbolic computation software. Numerical simulations are performed to guarantee the procedure, and to verify the theoretical statements. The numerical results demonstrate that the algorithm is higher accurate and efficient in obtaining series solutions for system of second-order, three-point boundary value problems.In this paper, we present a novel numerical algorithm to handle system of second-order, three-point boundary value problems in a favorable reproducing kernel Hilbert space. The exact and approximate solutions of the system are given in a series form in the space W23 [0,1] with easily computable components using symbolic computation software. Numerical simulations are performed to guarantee the procedure, and to verify the theoretical statements. The numerical results demonstrate that the algorithm is higher accurate and efficient in obtaining series solutions for system of second-order, three-point boundary value problems.

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