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Generalized Adams methods for fractional differential equations

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We introduce a new family of fractional convolution quadratures based on generalized Adams methods for the numerical solution of fractional differential equations. We discuss their accuracy and linear stability properties. The boundary loci reported show that, when used as Boundary Value Methods, these schemes overcome the classical order barrier for A-stable methods.

Original languageEnglish
Title of host publicationNumerical Analysis and Applied Mathematics, ICNAAM 2012 - International Conference of Numerical Analysis and Applied Mathematics
Pages250-253
Number of pages4
Edition1
DOIs
Publication statusPublished - 2012
Externally publishedYes
EventInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012 - Kos, Greece
Duration: 19 Sept 201225 Sept 2012

Publication series

NameAIP Conference Proceedings
Number1
Volume1479
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012
Country/TerritoryGreece
CityKos
Period19/09/1225/09/12

Keywords

  • Convolution Quadratures
  • Fractional Differential Equations
  • Generalized Adams Methods

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