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

Bartosz Bandrowski; Anna Karczewska; Piotr Rozmej

doi:10.2478/v10006-010-0019-1

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

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

International Journal of Applied Mathematics and Computer Science

Volume 20 (2010): Issue 2 (June 2010)

By: Bartosz Bandrowski, Anna Karczewska and Piotr Rozmej

Open Access

|Jul 2010

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.

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Articles in this issue

DOI: https://doi.org/10.2478/v10006-010-0019-1 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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Language: English

Page range: 261 - 269

Published on: Jul 2, 2010

Published by: University of Zielona Góra

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

fractional equations,

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© 2010 Bartosz Bandrowski, Anna Karczewska, Piotr Rozmej, published by University of Zielona Góra
This work is licensed under the Creative Commons License.

Volume 20 (2010): Issue 2 (June 2010)