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On the use of matrix functions for fractional partial differential equations

Roberto Garrappa and Marina Popolizio

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 81, issue 5, 1045-1056

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.

Keywords: Fractional differential equation; Matrix function; Rational approximation; Krylov subspace (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:81:y:2011:i:5:p:1045-1056

DOI: 10.1016/j.matcom.2010.10.009

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