The multistep Laplace optimized decomposition method for solving fractional-order coronavirus disease model (COVID-19) via the Caputo fractional approach

• Autorzy: Maayah Banan , Moussaoui Asma , Bushnaq Samia , Arqub Omar Abu

Identyfikatory

DOI

10.1515/dema-2022-0183

• Języki publikacji: EN

Abstrakty

EN

COVID-19, a novel coronavirus disease, is still causing concern all over the world. Recently, researchers have been concentrating their efforts on understanding the complex dynamics of this widespread illness. Mathematics plays a big role in understanding the mechanism of the spread of this disease by modeling it and trying to find approximate solutions. In this study, we implement a new technique for an approximation of the analytic series solution called the multistep Laplace optimized decomposition method for solving fractional nonlinear systems of ordinary differential equations. The proposed method is a combination of the multistep method, the Laplace transform, and the optimized decomposition method. To show the ability and effectiveness of this method, we chose the COVID-19 model to apply the proposed technique to it. To develop the model, the Caputo-type fractional-order derivative is employed. The suggested algorithm efficacy is assessed using the fourth-order Runge-Kutta method, and when compared to it, the results show that the proposed approach has a high level of accuracy. Several representative graphs are displayed and analyzed in two dimensions to show the growth and decay in the model concerning the fractional parameter α values. The central processing unit computational time cost in finding graphical results is utilized and tabulated. From a numerical viewpoint, the archived simulations and results justify that the proposed iterative algorithm is a straightforward and appropriate tool with computational efficiency for several coronavirus disease differential model solutions.

Słowa kluczowe

EN

multistep Laplace optimized decomposition method; Caputo fractional derivative; COVID-19 mathematical model; fractional differential problem

PL

metoda Laplace’a; metoda rozkładu; pochodna ułamkowa Caputo; model matematyczny; Covid-19; różniczkowanie ułamkowe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 963--977
• Opis fizyczny: Bibliogr. 38 poz., tab., wykr.

Twórcy

autor

Maayah Banan

• Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan

autor

Moussaoui Asma

• Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan

autor

Bushnaq Samia

• Department of Basic Sciences, Princess Sumaya University for Technology, Amman 11941, Jordan

autor

Arqub Omar Abu

• Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 19117, Jordan

Bibliografia

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Uwagi

PL

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).