Application of LDG scheme to solve semi-differential equations

• Autorzy: Izadi Mohammad

Identyfikatory

DOI

10.17512/jamcm.2019.4.03

• Języki publikacji: EN

Abstrakty

EN

In the current work, we investigate a technique based on discontinuous Galerkin method for the numerical approximation of semi-differential equations with Caputo’s fractional derivative. In this approach, using the natural upwind fluxes enables us to solve the model problem element by element locally in each subintervals and there is no need to solve a full global matrix. Numerical experiments are given to verify the efficiency and accuracy of the proposed method. Numerical solutions are compared with the exact solutions as well as the numerical solutions obtained by other available well-established computational procedures. The results show that the LDG method is more accurate for solving this class of differential equation with relatively low degrees of polynomials and number of elements.

Słowa kluczowe

EN

Caputo fractional derivative; local discontinuous Galerkin method; semi-differential equations

PL

pochodna ułamkowa Caputo; nieciągła metoda Galerkina; schemat LDG; równania różnicowe

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2019
• Tom: Vol. 18, nr 4
• Strony: 27--39
• Opis fizyczny: Bibliogr. 19 poz., rys., tab.

Twórcy

autor

Izadi Mohammad

• Department of Applied Mathematics, Faculty of Mathematics and Computer Shahid Bahonar University of Kerman, Kerman, Iran

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 (2020).