A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations View Full Text


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Article Info

DATE

2002-07

AUTHORS

Kai Diethelm, Neville J. Ford, Alan D. Freed

ABSTRACT

We discuss an Adams-type predictor-corrector method for the numericalsolution of fractional differential equations. The method may be usedboth for linear and for nonlinear problems, and it may be extended tomulti-term equations (involving more than one differential operator)too.

PAGES

3-22

References to SciGraph publications

  • 1997-03. Numerical solution of fractional order differential equations by extrapolation in NUMERICAL ALGORITHMS
  • 1999. On the Solution of Nonlinear Fractional-Order Differential Equations Used in the Modeling of Viscoplasticity in SCIENTIFIC COMPUTING IN CHEMICAL ENGINEERING II
  • 2001-04. The numerical solution of fractional differential equations: Speed versus accuracy in NUMERICAL ALGORITHMS
  • 2002-09. Numerical Solution of the Bagley-Torvik Equation in BIT NUMERICAL MATHEMATICS
  • 1997. Fractional Calculus in FRACTALS AND FRACTIONAL CALCULUS IN CONTINUUM MECHANICS
  • 1997. Fractional Calculus in FRACTALS AND FRACTIONAL CALCULUS IN CONTINUUM MECHANICS
  • 1986-04. Polynomial operators, stieltjes convolution, and fractional calculus in hereditary mechanics in ACTA MECHANICA
  • 2004-05. Detailed Error Analysis for a Fractional Adams Method in NUMERICAL ALGORITHMS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1023/a:1016592219341

    DOI

    http://dx.doi.org/10.1023/a:1016592219341

    DIMENSIONS

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