A second-order scheme with nonuniform time grids for Caputo-Hadamard fractional sub-diffusion equations
DOI10.1016/j.cam.2022.114448zbMath1490.65162OpenAlexW4282022362MaRDI QIDQ2151625
Zhibo Wang, Caixia Ou, Seak Weng Vong
Publication date: 5 July 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2022.114448
nonuniform meshesweak singularityCaputo-Hadamard derivativeerror convolution structureglobal consistency analysis
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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
Related Items (5)
Cites Work
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- 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
- A fitted scheme for a Caputo initial-boundary value problem
- Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations
- Time two-grid technique combined with temporal second order difference method for two-dimensional semilinear fractional sub-diffusion equations
- A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
- Finite difference methods for Caputo-Hadamard fractional differential equations
- Second order difference schemes for time-fractional KdV-Burgers' equation with initial singularity
- Mathematical analysis and the local discontinuous Galerkin method for Caputo-Hadamard fractional partial differential equation
- Sharp error estimate of a compact \(L1\)-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels
- A numerical method for distributed order time fractional diffusion equation with weakly singular solutions
- An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation
- A fast linearized finite difference method for the nonlinear multi-term time-fractional wave equation
- Unconditional convergence of a fast two-level linearized algorithm for semilinear subdiffusion equations
- A second-order accurate numerical method with graded meshes for an evolution equation with a weakly singular kernel
- An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
- Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
- REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION
- A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions
- On Caputo–Hadamard fractional differential equations
- An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen--Cahn Equation
- A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- ON HADAMARD FRACTIONAL CALCULUS
- Adaptive Second-Order Crank--Nicolson Time-Stepping Schemes for Time-Fractional Molecular Beam Epitaxial Growth Models
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