Application of Triple- and Quadruple-Generalized Laplace Transform to (2+1)- and (3+1)-Dimensional Time-Fractional Navier–Stokes Equation

Autor:	Hassan Eltayeb Gadain, Said Mesloub
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	triple-generalized Laplace transform inverse triple-generalized Laplace transform quadruple-generalized Laplace transform fractional Navier–Stokes equation decomposition methods Mathematics QA1-939
Zdroj:	Axioms, Vol 13, Iss 11, p 780 (2024)
Druh dokumentu:	article
ISSN:	13110780 2075-1680
DOI:	10.3390/axioms13110780
Popis:	In this study, the solution of the (2+1)- and (3+1)-dimensional system of the time-fractional Navier–Stokes equations is gained by utilizing the triple-generalized Laplace transform decomposition method (TGLTDM) and quadruple-generalized Laplace transform decomposition method (FGLTDM). In addition, the results of the offered methods match with the exact solutions of the problems, which proves that, as the terms of the series increase, the approximate solutions are closer to the exact solutions of each problem. To verify the appropriateness of these methods, some examples are offered. The TGLTDM and FGLTDM results indicate that the suggested methods have higher evaluation convergence as compared to the ADM and HPM.
Databáze:	Directory of Open Access Journals
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