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Using a new implementation of reproducing kernel Hilbert space method to solve a system of second-order BVPs
(Springernature, 2023) Amoozad, Taher; Allahviranloo, Tofigh; Abbasbandy, Saeid; Rostamy Malkhalifeh, Mohsen
In this paper, a new implementation based on the reproducing kernel method (RKM) without the Gram-Schmidt orthogonalization for solving linear and nonlinear systems of second-order boundary value problems is presented. In the RKM method, components such as points, space, inner product, bases, and a suitable method have an effect on increasing the accuracy. The easy implementation, elimination of the Gram-Schmidt process, fewer calculations, and high accuracy of the present method are interesting. The compatibility of numerical results and theorems demonstrates that the Present method is effective.