A new Crank-Nicolson finite element method for the time-fractional subdiffusion equation (Q2402562)

scientific article

Language	Label	Description	Also known as
English	A new Crank-Nicolson finite element method for the time-fractional subdiffusion equation	scientific article

Statements

instance of

scholarly article

0 references

title

A new Crank-Nicolson finite element method for the time-fractional subdiffusion equation (English)

0 references

0 references

0 references

Applied Numerical Mathematics

0 references

publication date

8 September 2017

0 references

zbMATH Keywords

finite element method

0 references

subdiffusion

0 references

the time-fractional subdiffusion equation

0 references

unconditional stability

0 references

convergence

0 references

Crank-Nicolson method

0 references

numerical example

0 references

describes a project that uses

ma2dfc

0 references

FODE

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.1016/j.apnum.2017.06.011

0 references

cites work

Response of a diffusion‐wave system subjected to deterministic and stochastic fields

0 references

Spectral Methods

0 references

A Fourier method for the fractional diffusion equation describing sub-diffusion

0 references

Compact finite difference method for the fractional diffusion equation

0 references

Numerical algorithm for the time fractional Fokker-Planck equation

0 references

A compact finite difference scheme for the fractional sub-diffusion equations

0 references

A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions

0 references

A family of Adams exponential integrators for fractional linear systems

0 references

Implicit compact difference schemes for the fractional cable equation

0 references

Q5699297

0 references

The accuracy and stability of an implicit solution method for the fractional diffusion equation

0 references

Fractional Pearson diffusions

0 references

Numerical algorithm based on Adomian decomposition for fractional differential equations

0 references

A Space-Time Spectral Method for the Time Fractional Diffusion Equation

0 references

Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion

0 references

Spectral approximations to the fractional integral and derivative

0 references

Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term

0 references

Finite difference approximations for fractional advection-dispersion flow equations

0 references

The random walk's guide to anomalous diffusion: A fractional dynamics approach

0 references

Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations

0 references

Implicit finite difference approximation for time fractional diffusion equations

0 references

An implicit finite-difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements

0 references

Uniform convergence for a discontinuous Galerkin, time-stepping method applied to a fractional diffusion equation

0 references

Q4233638

0 references

Matrix approach to discrete fractional calculus. II: Partial fractional differential equations

0 references

Matrix approach to discrete fractional calculus III: non-equidistant grids, variable step length and distributed orders

0 references

Waiting-times and returns in high-frequency financial data: An empirical study

0 references

Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions

0 references

Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in \(\mathbb R^2\)

0 references

A second order explicit finite difference method for the fractional advection diffusion equation

0 references

A fully discrete difference scheme for a diffusion-wave system

0 references

Tau approximate solution of fractional partial differential equations

0 references

Wellposedness of Variable-Coefficient Conservative Fractional Elliptic Differential Equations

0 references

Weighted average finite difference methods for fractional diffusion equations

0 references

An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations

0 references

A finite difference method with non-uniform timesteps for fractional diffusion equations

0 references

Chaos, fractional kinetics, and anomalous transport

0 references

The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation

0 references

Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation

0 references

Finite difference methods for the time fractional diffusion equation on non-uniform meshes

0 references

A note on the finite element method for the space-fractional advection diffusion equation

0 references

New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation

0 references

Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

0 references

Identifiers

zbMATH Open document ID

1372.65276

0 references

DOI

10.1016/j.apnum.2017.06.011

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2402562