Some high order formulae for approximating Caputo fractional derivatives

DOI10.1016/j.apnum.2020.02.015zbMath1433.65028OpenAlexW3008955339MaRDI QIDQ1986162

M. Ramezani, Gundolf Haase, Reza Mokhtari

Publication date: 7 April 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.02.015

zbMATH Keywords

order of convergenceCaputo fractional derivativeB-spline interpolation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Fractional derivatives and integrals (26A33) Numerical differentiation (65D25)

Related Items (6)

Analysis of stability and convergence for L-type formulas combined with a spatial finite element method for solving subdiffusion problems ⋮ Numerical simulation for 2D/3D time fractional Maxwell's system based on a fast second-order FDTD algorithm ⋮ A novel high-order finite-difference method for the time-fractional diffusion equation with smooth/nonsmooth solutions ⋮ Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein-Gordon and sine-Gordon problems ⋮ Numerical investigation of the variable-order fractional Sobolev equation with non-singular Mittag-Leffler kernel by finite difference and local discontinuous Galerkin methods ⋮ Stability and Convergence Analyses of the FDM Based on Some L-Type Formulae for Solving the Subdiffusion Equation

Uses Software

• PETSc
• Trilinos

Cites Work

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