A new modification of the reduced differential transform method for nonlinear fractional partial differential equations

• Autorzy: Khalouta Ali , Kadem Abdelouahab

Identyfikatory

DOI

10.17512/jamcm.2020.3.04

• Języki publikacji: EN

Abstrakty

EN

The objective of this study is to present a new modification of the reduced differential transform method (MRDTM) to find an approximate analytical solution of a certain class of nonlinear fractional partial differential equations in particular, nonlinear time-fractional wave-like equations with variable coefficients. This method is a combination of two different methods: the Shehu transform method and the reduced differential transform method. The advantage of the MRDTM is to find the solution without discretization, linearization or restrictive assumptions. Three different examples are presented to demonstrate the applicability and effectiveness of the MRDTM. The numerical results show that the proposed modification is very effective and simple for solving nonlinear fractional partial differential equations.

Słowa kluczowe

EN

nonlinear fractional partial differential equations; Caputo fractional derivative; Shehu transform method; reduced differential transform method; approximate analytical solution

PL

nieliniowe równania różniczkowe cząstkowe ułamkowe; pochodna ułamkowa Caputo; metoda transformacji Shehu; metoda transformacji różnicowej

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2020
• Tom: Vol. 19, nr 3
• Strony: 45--58
• Opis fizyczny: Bibliogr. 25 poz., rys., tab.

Twórcy

autor

Khalouta Ali

• Laboratory of Fundamental and Numerical Mathematics Department of Mathematics, Faculty of Sciences Ferhat Abbas S´etif University 1, 19000 S´etif, Algeria

autor

Kadem Abdelouahab

• Laboratory of Fundamental and Numerical Mathematics Department of Mathematics, Faculty of Sciences Ferhat Abbas S´etif University 1, 19000 S´etif, Algeria

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).