Error estimate on the tanh meshes for the time fractional diffusion equation

DOI10.1002/num.22656OpenAlexW3108520667WikidataQ114235213 ScholiaQ114235213MaRDI QIDQ6066452

No author found.

Publication date: 12 December 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22656

zbMATH Keywords

error estimateCaputo fractional derivativeunconditionally stableweak singularitytanh meshes

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Related Items (1)

Numerical analysis of the nonuniform fast L1 formula for nonlinear time-space fractional parabolic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Finite difference methods for the time fractional diffusion equation on non-uniform meshes
• An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation
• A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions
• New high-order compact ADI algorithms for 3D nonlinear time-fractional convection-diffusion equation
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• A compact integrated RBF method for time fractional convection-diffusion-reaction equations
• Unconditional convergence of a fast two-level linearized algorithm for semilinear subdiffusion equations
• A finite difference method with non-uniform timesteps for fractional diffusion equations
• Finite difference/spectral approximations for the time-fractional diffusion equation
• A fully discrete difference scheme for a diffusion-wave system
• Generalized Jacobi functions and their applications to fractional differential equations
• Spectral approximations to the fractional integral and derivative
• REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION
• Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data
• A Space-Time Spectral Method for the Time Fractional Diffusion Equation
• Permutations and piecewise-constant approximation of continuous functions of n variables
• Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations
• Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
• A Fast Algorithm for the Caputo Fractional Derivative
• Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation
• Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
• Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions
• Analysis of fractional differential equations

This page was built for publication: Error estimate on the tanh meshes for the time fractional diffusion equation