The tracking of derivative discontinuities for delay fractional equations based on fitted \(L1\) method

DOI10.1515/cmam-2022-0231zbMath1517.65068OpenAlexW4322493969MaRDI QIDQ6112772

Dakang Cen, Seak Weng Vong

Publication date: 7 August 2023

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2022-0231

zbMATH Keywords

delay fractional equationsderivative discontinuityimproved regularity\(L1\) method

Mathematics Subject Classification ID

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 (1)

Corrected \(L\)-type method for multi-singularity problems arising from delay fractional equations

Cites Work

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• Too much regularity may force too much uniqueness
• Differential-difference equations
• Strong contractivity properties of numerical methods for ordinary and delay differential equations
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• Convergence in positive time for a finite difference method applied to a fractional convection-diffusion problem
• L1 method on nonuniform meshes for linear time-fractional diffusion equations with constant time delay
• Analysis and numerical methods for fractional differential equations with delay
• A fully discrete difference scheme for a diffusion-wave system
• A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems

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