Numerical solutions to integral equations equivalent to differential equations with fractional time

• Autorzy: Bartosz Bandrowski , Anna Karczewska , Piotr Rozmej
• Języki publikacji: EN

Abstrakty

EN

This paper presents an approximate method of solving the fractional (in the time variable) equation which describes the processes lying between heat and wave behavior. The approximation consists in the application of a finite subspace of an infinite basis in the time variable (Galerkin method) and discretization in space variables. In the final step, a large-scale system of linear equations with a non-symmetric matrix is solved with the use of the iterative GMRES method.

Słowa kluczowe

EN

fractional equations; Galerkin method; anomalous diffusion

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2010
• Tom: 20
• Numer: 2
• Strony: 261-269

Daty

wydano

2010

otrzymano

2009-05-24

poprawiono

2009-09-28

Twórcy

autor

Bartosz Bandrowski

• Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, ul. Szafrana 4a, 65-516 Zielona Góra, Poland

autor

Anna Karczewska

• Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, ul. Szafrana 4a, 65-516 Zielona Góra, Poland

autor

Piotr Rozmej

• Institute of Physics, University of Zielona Góra, ul. Szafrana 4a, 65-516 Zielona Góra, Poland

Bibliografia

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Identyfikatory

DOI

10.2478/v10006-010-0019-1