A fourth-order compact ADI scheme for solving a two-dimensional time-fractional reaction-subdiffusion equation

Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)

Cites Work

Title not available (Why is that?)
A compact difference scheme for fractional sub-diffusion equations with the spatially variable coefficient under Neumann boundary conditions
Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation
Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method
A compact difference scheme for a two dimensional fractional Klein-Gordon equation with Neumann boundary conditions
A second-order accurate numerical method for the two-dimensional fractional diffusion equation
ADI-Euler and extrapolation methods for the two-dimensional fractional advection-dispersion equation
Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation
Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation
Fractals and fractional calculus in continuum mechanics
Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation
A meshless numerical procedure for solving fractional reaction subdiffusion model via a new combination of alternating direction implicit (ADI) approach and interpolating element free Galerkin (EFG) method
A compact finite difference scheme for fractional Black-Scholes option pricing model
On the approximate solutions of a class of fractional order nonlinear Volterra integro-differential initial value problems and boundary value problems of first kind and their convergence analysis
A high order numerical technique and its analysis for nonlinear generalized Fisher's equation
A compact ADI scheme for two-dimensional fractional sub-diffusion equation with Neumann boundary condition
Design and analysis of a numerical method for fractional neutron diffusion equation with delayed neutrons
A finite element approximation for a class of Caputo time-fractional diffusion equations
Design and stability analysis of an implicit non-standard finite difference scheme for fractional neutron point kinetic equation
A new higher order compact finite difference method for generalised Black-Scholes partial differential equation: European call option
A novel compact numerical method for solving the two-dimensional non-linear fractional reaction-subdiffusion equation
Finite difference/spectral approximations for the time-fractional diffusion equation
An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh
Finite difference methods for two-dimensional fractional dispersion equation
A finite element method for time fractional partial differential equations
Compact difference schemes for heat equation with Neumann boundary conditions. II.
Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation
Numerical solutions of time fractional degenerate parabolic equations by variational iteration method with Jumarie-modified Riemann-Liouville derivative
On the Appearance of the Fractional Derivative in the Behavior of Real Materials
Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation
Theoretical prospects of fractional order weakly singular Volterra Integro differential equations and their approximations with convergence analysis
Regularity results for fractional diffusion equations involving fractional derivative with Mittag–Leffler kernel
A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
Higher order approximations for fractional order integro-parabolic partial differential equations on an adaptive mesh with error analysis
A high-order compact finite difference scheme and its analysis for the time-fractional diffusion equation
A theoretical study of the fractional-order \(p\)-Laplacian nonlinear Hadamard type turbulent flow models having the Ulam-Hyers stability
A numerical technique based on B‐spline for a class of time‐fractional diffusion equation
A higher order hybrid-numerical approximation for a class of singularly perturbed two-dimensional convection-diffusion elliptic problem with non-smooth convection and source terms
Design and analysis of a high order computational technique for time‐fractional Black–Scholes model describing option pricing
A computational technique for solving the time‐fractional Fokker‐Planck equation
A robust adaptive moving mesh technique for a time-fractional reaction-diffusion model

This page was built for publication: A fourth-order compact ADI scheme for solving a two-dimensional time-fractional reaction-subdiffusion equation

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6606830)