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

Bartosz Bandrowski; Anna Karczewska; Piotr Rozmej

International Journal of Applied Mathematics and Computer Science (2010)

  • Volume: 20, Issue: 2, page 261-269
  • ISSN: 1641-876X

Abstract

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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.

How to cite

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Bartosz Bandrowski, Anna Karczewska, and Piotr Rozmej. "Numerical solutions to integral equations equivalent to differential equations with fractional time." International Journal of Applied Mathematics and Computer Science 20.2 (2010): 261-269. <http://eudml.org/doc/207985>.

@article{BartoszBandrowski2010,
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.},
author = {Bartosz Bandrowski, Anna Karczewska, Piotr Rozmej},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {fractional equations; Galerkin method; anomalous diffusion},
language = {eng},
number = {2},
pages = {261-269},
title = {Numerical solutions to integral equations equivalent to differential equations with fractional time},
url = {http://eudml.org/doc/207985},
volume = {20},
year = {2010},
}

TY - JOUR
AU - Bartosz Bandrowski
AU - Anna Karczewska
AU - Piotr Rozmej
TI - Numerical solutions to integral equations equivalent to differential equations with fractional time
JO - International Journal of Applied Mathematics and Computer Science
PY - 2010
VL - 20
IS - 2
SP - 261
EP - 269
AB - 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.
LA - eng
KW - fractional equations; Galerkin method; anomalous diffusion
UR - http://eudml.org/doc/207985
ER -

References

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