Solution of the modified time fractional coupled burgers equations using laplace adomian decompostion method

• Autorzy: Omame Andrew , Zaman Fiazud Din

Identyfikatory

DOI

10.2478/ama-2023-0014

• Języki publikacji: EN

Abstrakty

EN

In this work, a coupled system of time-fractional modified Burgers’ equations is considered. Three different fractional operators: Caputo, Caputo-Fabrizio and Atangana-Baleanu operators are implemented for the equations. Also, two different scenarios are examined for each fractional operator: when the initial conditions are u(x,y,0) = sin(xy), v(x,y,0) = sin(xy), and when they are u(x,y,0) = e{−kxy}, v(x,y,0) = e{−kxy}, where k,α are some positive constants. With the aid of computable Adomian polynomials, the solutions are obtained using Laplace Adomian decomposition method (LADM). The method does not need linearization, weak nonlinearity assumptions or perturbation theory. Simulations are also presented to support theoretical results, and the behaviour of the solutions under the three different fractional operators compared.

Słowa kluczowe

EN

Burgers equations; fractional derivatives; Laplace Adomian decomposition method; semi-analytic solutions; simulations

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2023
• Tom: Vol. 17, no. 1
• Strony: 124--132
• Opis fizyczny: Bibliogr. 19 poz., wykr.

Twórcy

autor

Omame Andrew

• Department of Mathematics, Federal University of Technology, 1526, PMB,Owerri, Ihiagwa, Nigeria
• Abdus Salam School of Mathematical Sciences, Government College University Katchery Road, Lahore 54000, Lahore Pakistan

• https://orcid.org/0000-0002-1252-1650

autor

Zaman Fiazud Din

• Abdus Salam School of Mathematical Sciences, Government College University Katchery Road, Lahore 54000, Lahore Pakistan

• https://orcid.org/0000-0002-6498-0664

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).