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001-es BibID:	BIBFORM115350
035-os BibID:	(cikkazonosító)100576 (Scopus)85174056521
Első szerző:	Khan, Ibrar
Cím:	Comparative analysis of the fractional order Cahn-Allen equation / Ibrar Khan, Rashid Nawaz, Ali Hasan Ali, Ali Akgul, Showkat Ahmad Lone
Dátum:	2023
ISSN:	2666-8181
Megjegyzések:	This current work presents a comparative study of the fractional-order Cahn-Allen (CA) equation, where the non-integer derivative is taken in the Caputo sense.The Cahn-Allen equation is an equation that assists in the comprehension of phase transitions and pattern formation in physical systems. This equation describes how different phases of matter, such as solids and liquids, change and interact throughout time. We employ two analytical methods: the Laplace Residual Power Series Method (LRPSM) and the New Iterative Method (NIM), to solve the proposed model. The LRPSM is a combination of the Laplace Transform and the Residual Power Series Method, while the New Iterative Method is a modified form of the Adomian Decomposition Method that does not require any type of polynomial or digitization. For the purpose of accuracy and reliability, we compare our findings with other methods and the exact solution used in the literature. Additionally, 2D and 3D plots are generated for various fractional order values denoted as p. These plots illustrate that as the fractional order p approaches 1, the graph of the approximate solution gradually coincides with the graph of the exact solution.
Tárgyszavak:	Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk Laplace residual power series Fractional-order Cahn-Allen equation Laplace transform Caputo operator
Megjelenés:	Partial Differential Equations in Applied Mathematics. - 8 (2023), p. 1-8. -
További szerzők:	Nawaz, Rashid Ali, Ali Hasan (1989-) (matematikus) Akgul, Ali Lone, Showkat Ahmad
Internet cím:	Szerző által megadott URL DOI Intézményi repozitóriumban (DEA) tárolt változat
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