Pell polynomial approach for solving a class of systems of nonlinear differential equations

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Tarih

2022

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Tbilisi Centre Math Sci

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this study, Pell polynomial approach is used for approximately solving a class of systems of nonlinear differential equations with initial conditions. The given problem is firstly expressed as a matrix-vector system via collocation points. Then the unknown coefficients of the approximate solution are obtained. Also, some test problems are given to demonstrate accuracy and effectiveness of the proposed method. Additionally, the calculated numerical values are compared with exact solutions of the test problems and approximate ones obtained with other methods in literature.

Açıklama

Anahtar Kelimeler

Nonlinear systems, differential equations, Pell polynomials

Kaynak

Advanced Studies-Euro-Tbilisi Mathematical Journal

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

Sayı

Künye