The Four-Dimensional Natural Transform Adomian Decomposition Method and (3+1)-Dimensional Fractional Coupled Burgers’ Equation

Autor: Huda Alsaud, Hassan Eltayeb
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Fractal and Fractional, Vol 8, Iss 4, p 227 (2024)
Druh dokumentu: article
ISSN: 2504-3110
DOI: 10.3390/fractalfract8040227
Popis: This research article introduces the four-dimensional natural transform Adomian decomposition method (FNADM) for solving the (3+1)-dimensional time-singular fractional coupled Burgers’ equation, along with its associated initial conditions. The FNADM approach represents a fusion of four-dimensional natural transform techniques and Adomian decomposition methodologies. In order to observe the influence of time-Caputo fractional derivatives on the outcomes of the aforementioned models, two examples are illustrated along with their three-dimensional figures. The effectiveness and reliability of this approach are validated through the analysis of these examples related to the (3+1)-dimensional time-singular fractional coupled Burgers’ equations. This study underscores the method’s applicability and effectiveness in addressing the complex mathematical models encountered in various scientific and engineering domains.
Databáze: Directory of Open Access Journals
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