Using a new implementation of reproducing kernel Hilbert space method to solve a system of second-order BVPs

Küçük Resim Yok

Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springernature

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In 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.

Açıklama

Anahtar Kelimeler

Reproducing Kernel Hilbert Space Method, Linear And Non-Linear System Of Differential Equations, Error Estimation, Convergence Analysis

Kaynak

International Journal of Dynamics and Control

WoS Q Değeri

N/A

Scopus Q Değeri

Q2

Cilt

Sayı

Künye