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001-es BibID:	BIBFORM115461
035-os BibID:	(WoS)001093257400001 (Scopus)85174721651
Első szerző:	Ahmad, Imtiaz
Cím:	Computational analysis of time-fractional models in energy infrastructure applications / Imtiaz Ahmad, Asmidar Abu Bakar, Ihteram Ali, Sirajul Haq, Salman Yussof, Ali Hasan Ali
Dátum:	2023
ISSN:	1110-0168 2090-2670
Megjegyzések:	In this paper, we propose an effective numerical method to solve the one- and two-dimensional time-fractional convection-diffusion equations based on the Caputo derivative. The presented approach employs a hybrid method that combines Lucas and Fibonacci polynomials with the Caputo derivative definition. The main objective is to transform the problem into a time-discrete form utilizing the Caputo derivative technique and then approximate the function`s derivative using Fibonacci polynomials. To evaluate the efficiency and accuracy of the proposed technique, we apply it to one- and two-dimensional problems and compare the results with the exact as well as with existing methods in recent literature. The comparison demonstrates that the proposed approach is highly efficient, accurate and ease to implement.
Tárgyszavak:	Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk Caputo derivative Convection-diffusion equation Finite differences Lucas polynomials Fibonacci polynomials energy infrastructure
Megjelenés:	Alexandria Engineering Journal. - 82 (2023), p. 426-436. -
További szerzők:	Bakar, Asmidar Abu Ali, Ihteram Haq, Sirajul Yussof, Salman Ali, Ali Hasan (1989-) (matematikus)
Internet cím:	Szerző által megadott URL DOI Intézményi repozitóriumban (DEA) tárolt változat
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