Complete monotonicity-preserving numerical methods for time fractional ODEs

DOI10.4310/CMS.2021.v19.n5.a6zbMath1477.65109arXiv1909.13060OpenAlexW3182314688MaRDI QIDQ2057093

Dongling Wang, Lei Li

Publication date: 8 December 2021

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.13060

zbMATH Keywords

convergencePick functioncomplete monotonicityfractional ODEsconvolution inverse

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fractional ordinary differential equations (34A08)

Related Items (7)

A Survey of the L1 Scheme in the Discretisation of Time-Fractional Problems ⋮ Numerical stability of Grünwald-Letnikov method for time fractional delay differential equations ⋮ Optimal Long-Time Decay Rate of Numerical Solutions for Nonlinear Time-Fractional Evolutionary Equations ⋮ Time fractional gradient flows: Theory and numerics ⋮ Mittag-Leffler stability of numerical solutions to time fractional ODEs ⋮ Sharp error estimate of Grünwald-Letnikov scheme for a multi-term time fractional diffusion equation ⋮ Using complete monotonicity to deduce local error estimates for discretisations of a multi-term time-fractional diffusion equation

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