Lucas Operational Matrix Approach for Solving the Fractional Klein–Gordon Equation

Yükleniyor...
Küçük Resim

Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer Science and Business Media Deutschland GmbH

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this work, an efficient computational technique based on Lucas polynomials has been extended to approximately solve a certain class of fractional diffusion equations. Fractional order Lucas polynomials were used to represent the operational matrix of differentiation and integration. Subsequently, the fractional Klein–Gordon equation was reduced to a system of algebraic equations whose solution can be found through suitable algorithms such as Gauss elimination and Newton–Raphson methods. Based on the numerical results obtained, the proposed technique demonstrates a high level of efficiency and precision. © The Author(s), under exclusive licence to Shiraz University 2024.

Açıklama

Anahtar Kelimeler

Fractional Calculus, Klein–Gordon Equation, Lucas Polynomials, Operational Matrix

Kaynak

Iranian Journal of Science

WoS Q Değeri

Q3

Scopus Q Değeri

Q4

Cilt

Sayı

Künye

Khajehnasiri, A. A., Kermani, M. A., & Allahviranloo, T. (2024). Lucas Operational Matrix Approach for Solving the Fractional Klein–Gordon Equation. Iranian Journal of Science, 1-10.