The main focus of this paper is the solution of some partial differential equations of fractional order. Promising methods based on matrix functions are taken in consideration. The features of different approaches are discussed and compared with results provided by classical convolution quadrature rules. By means of numerical experiments accuracy and performance are examined.
On the use of matrix functions for fractional partial differential equations / Garrappa, Roberto; Popolizio, Marina. - In: MATHEMATICS AND COMPUTERS IN SIMULATION. - ISSN 0378-4754. - STAMPA. - 81:5(2011), pp. 1045-1056. [10.1016/j.matcom.2010.10.009]
On the use of matrix functions for fractional partial differential equations
Marina Popolizio
2011-01-01
Abstract
The main focus of this paper is the solution of some partial differential equations of fractional order. Promising methods based on matrix functions are taken in consideration. The features of different approaches are discussed and compared with results provided by classical convolution quadrature rules. By means of numerical experiments accuracy and performance are examined.File in questo prodotto:
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