The development of higher-order numerical differential formulas of Caputo derivative and their applications (I)

DOI10.1016/j.camwa.2020.12.017OpenAlexW3124178228MaRDI QIDQ2226819

Heng-Fei Ding

Publication date: 9 February 2021

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.12.017

zbMATH Keywords

Caputo derivativefourth-order compact formulasecond-order numerical differential formulastime fractional mixed sub-diffusion and diffusion-wave equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11)

Related Items (4)

Numerical analysis of a fourth-order linearized difference method for nonlinear time-space fractional Ginzburg-Landau equation ⋮ A high-order numerical scheme for right Caputo fractional differential equations with uniform accuracy ⋮ A numerical method for the variable-order time-fractional wave equations based on the H2N2 approximation ⋮ L3 approximation of Caputo derivative and its application to time-fractional wave equation. I

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