Convergence of Runge–Kutta-based convolution quadrature for semilinear fractional differential equations

DOI10.1080/00207160.2024.2395977MaRDI QIDQ6662573

Publication date: 14 January 2025

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

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A multi-domain spectral method for time-fractional differential equations
Global Padé approximations of the generalized Mittag-Leffler function and its inverse
Local discontinuous Galerkin methods for fractional ordinary differential equations
On the global existence of solutions to a class of fractional differential equations
Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
A unified Petrov-Galerkin spectral method for fractional PDEs
Efficient high order algorithms for fractional integrals and fractional differential equations
Detailed error analysis for a fractional Adams method
Some analytical and numerical properties of the Mittag-Leffler functions
Highly accurate global Padé approximations of generalized Mittag-Leffler function and its inverse
Finite difference/spectral approximations for the time-fractional diffusion equation
Evaluation of generalized Mittag-Leffler functions on the real line
A fully discrete difference scheme for a diffusion-wave system
Fast Runge-Kutta approximation of inhomogeneous parabolic equations
Discretized Fractional Calculus
Evolutionary Integral Equations and Applications
Runge-Kutta Methods for Parabolic Equations and Convolution Quadrature
Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations
Fast and Parallel Runge--Kutta Approximation of Fractional Evolution Equations
A Parallel-in-Time Algorithm for High-Order BDF Methods for Diffusion and Subdiffusion Equations
A Discontinuous Petrov--Galerkin Method for Time-Fractional Diffusion Equations
Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions
Fast and Oblivious Convolution Quadrature

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