Constructions of second order approximations of the Caputo fractional derivative

DOI10.1007/978-3-030-97549-4_3zbMath1490.65032OpenAlexW4226395072MaRDI QIDQ2128426

Yuri Dimitrov, Venelin Todorov, Stoyan Apostolov

Publication date: 22 April 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-97549-4_3

zbMATH Keywords

numerical solutionsecond-order approximationfractional derivativeCaputo derivative

Mathematics Subject Classification ID

Numerical differentiation (65D25)

Cites Work

• A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
• A new difference scheme for the time fractional diffusion equation
• High-order numerical algorithms for Riesz derivatives via constructing new generating functions
• Finite difference/spectral approximations for the time-fractional diffusion equation
• An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
• Discretized Fractional Calculus
• A Second Order Approximation for the Caputo Fractional Derivative
• SHARP INEQUALITIES FOR FACTORIAL n
• Second Order Shifted Approximations for the First Derivative
• A class of second order difference approximations for solving space fractional diffusion equations

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