Stability analysis and numerical implementation of the third-order fractional partial differential equation based on the Caputo fractional derivative

• Autorzy: Rasheed Sarbast Kamal , Modanli Mahmut , Abdulazeez Sadeq Taha

Identyfikatory

DOI

10.17512/jamcm.2023.3.03

• Języki publikacji: EN

Abstrakty

EN

This paper examines a third-order fractional partial differential equation (FPDE) in the Caputo sense. The Theta difference method (TDM) is utilized to investigate the problem, and a first-order difference scheme is developed. Stability estimates are obtained by applying the Von Neumann analysis method. A test problem is presented as an application, and numerical results are obtained using Matlab software. Error estimates, as well as exact and approximate solutions are presented in a data analysis table. The simulation results are shown through error analysis tables and figures.

Słowa kluczowe

EN

Theta difference method; caputo fractional derivative; third-order fractional; partial differential equation; stability; approximate solution

PL

metoda różnicy theta; pochodna ułamkowa Caputo; ułamek trzeciego rzędu; cząstkowe równanie różniczkowe; stabilność; przybliżone rozwiązanie

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2023
• Tom: Vol. 22, nr 3
• Strony: 33--42
• Opis fizyczny: Bibliogr. 21 poz., rys., tab.

Twórcy

autor

Rasheed Sarbast Kamal

• Department of Mathematics, College of Basic Education, University of Duhok Duhok, Iraq

autor

Modanli Mahmut

• Department of Mathematics, Faculty of Arts and Sciences, Harran University Sanliurfa, Turkey

autor

Abdulazeez Sadeq Taha

• Department of Mathematics, College of Basic Education, University of Duhok Duhok, Iraq
• Department of Computer Science, College of Science, Nawroz University Duhok, Iraq

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).