A New Approach for Solving a Nonlinear System of Second-Order BVPs.

Autor: Amoozad, Taher, Abbasbandy, Saeid, Allahviranloo, Tofigh, Malkhalifeh, Mohsen Rostamy
Předmět:
Zdroj: Mathematical Modelling & Analysis; 2024, Vol. 29 Issue 4, p669-683, 15p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index