Amoozad, TaherAllahviranloo, TofighAbbasbandy, SaeidRostamy Malkhalifeh, Mohsen2024-05-192024-05-1920232195-268X2195-2698https://doi.org10.1007/s40435-023-01330-2https://hdl.handle.net/20.500.12713/5537In 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.eninfo:eu-repo/semantics/closedAccessReproducing Kernel Hilbert Space MethodLinear And Non-Linear System Of Differential EquationsError EstimationConvergence AnalysisArticleWOS:0010997072000012-s2.0-85176132893N/A10.1007/s40435-023-01330-2Q2