A new approach for Solving a nonlinear system of second-order BVPs
DOI: https://doi.org/10.3846/mma.2024.19217Abstract
In this paper, we introduce a new approach based on the Reproducing Kernel Method (RKM) for solving a nonlinear system of second-order Boundary Value Problems (BVPs) without the Gram-Schmidt orthogonalization process. What motivates us to use the RKM without the Gram-Schmidt orthogonalization process is its easy implementation, elimination of the Gram-Schmidt process, fewer calculations, and high accuracy. Finally, the compatibility of numerical results and theorems demonstrates that the Present method is effective.
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reproducing kernel method, system of second-order boundary value problem, convergence analysis, error analysisHow to Cite
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Copyright (c) 2024 The Author(s). Published by Vilnius Gediminas Technical University.
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