A family of Adams exponential integrators for fractional linear systems

DOI10.1016/j.camwa.2013.01.022zbMath1350.65078OpenAlexW2012119533MaRDI QIDQ316095

Roberto Garrappa

Publication date: 26 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.01.022

zbMATH Keywords

stabilityMittag-Leffler functionconvergencenumerical experimentfractional differential equationsAdams methodsexponential integratorsAdams type

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Linear systems in control theory (93C05) Stability and convergence of numerical methods for ordinary differential equations (65L20) Mittag-Leffler functions and generalizations (33E12) Linear ordinary differential equations and systems (34A30) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Control/observation systems governed by ordinary differential equations (93C15) Fractional ordinary differential equations (34A08)

Related Items (12)

Stability and convergence analysis of a class of continuous piecewise polynomial approximations for time-fractional differential equations ⋮ A new numerical method for solving semilinear fractional differential equation ⋮ Computational challenge of fractional differential equations and the potential solutions: a survey ⋮ A new Crank-Nicolson finite element method for the time-fractional subdiffusion equation ⋮ Fractional BDF methods for solving fractional differential matrix equations ⋮ Generalized Mittag-Leffler quadrature methods for fractional differential equations ⋮ Explicit Exponential Runge–Kutta Methods for Semilinear Integro-Differential Equations ⋮ Strong convergence of a fractional exponential integrator scheme for finite element discretization of time-fractional SPDE driven by fractional and standard Brownian motions ⋮ Solving 2D time-fractional diffusion equations by a pseudospectral method and Mittag-Leffler function evaluation ⋮ Exponential quadrature rules for linear fractional differential equations ⋮ A pseudo-spectral scheme for the approximate solution of a time-fractional diffusion equation ⋮ Time-Splitting Schemes for Fractional Differential Equations I: Smooth Solutions

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