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