Work

A new approach for Solving a nonlinear system of second-order BVPs

Year: 2024

Type: article

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.

Source: Mathematical Modelling and Analysis

DOI: 10.3846/mma.2024.19217

Authors: Taher Amoozad, Saeid Abbasbandy, Tofigh Allahviranloo, Mohsen Rostamy Malkhalifeh

Institutions: Islamic Azad University, Tehran, Islamic Azad University, Science and Research Branch, Imam Khomeini International University, Istinye University

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4403335685

FWCI: 0.781

Cites: 19

Cited by: 1

Related to: 10