A new approach for Solving a nonlinear system of second-order BVPs
Open Access
- 11 October 2024
- journal article
- research article
- Published by Vilnius Gediminas Technical University in Mathematical Modelling and Analysis
- Vol. 29 (4) , 669-683
Abstract
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.Keywords
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