<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

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

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

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

International Journal of Applied Mathematics and Computer Science

This paper presents an approximate method of solving the fractional (in the time variable) equation which describes the processes lying between heat and wave...

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

Published Online: Jul 02, 2010

Page range: 261 - 269

DOI: https://doi.org/10.2478/v10006-010-0019-1

Keywords
fractional equations, Galerkin method, anomalous diffusion

This content is open access.

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

Published Online: Jul 02, 2010

Page range: 261 - 269

DOI: https://doi.org/10.2478/v10006-010-0019-1

Keywordsfractional equations, Galerkin method, anomalous diffusion

This content is open access.

Keywords
fractional equations, Galerkin method, anomalous diffusion