Search
Search Results
-
Stability analysis of a second-order difference scheme for the time-fractional mixed sub-diffusion and diffusion-wave equation
This study investigates a class of initial-boundary value problems pertaining to the time-fractional mixed sub-diffusion and diffusion-wave equation...
-
Finite Difference Approximation for the Space-Time Fractional Linear Diffusion Equation Involving the Caputo-Hadamard Fractional Derivative
In this paper, we provide an accurate numerical solution for space-time fractional linear diffusion equation involving the fractinal Caputo-Hadamard...
-
Space-time pseudospectral method for the variable-order space-time fractional diffusion equation
In this paper, we study the space-time variable-order fractional diffusion equation with a variable diffusion coefficient. The fractional derivatives...
-
An efficient fourth order Hermite spline collocation method for time fractional diffusion equation describing anomalous diffusion in two space variables
Anomalous diffusion of particles in fluids is better described by the fractional diffusion models. A robust hybrid numerical algorithm for a...
-
The solution of the time-space fractional diffusion equation based on the Chebyshev collocation method
In this paper, we consider the solution of the initial and boundary value problem for the time-space fractional diffusion equation in the sense of...
-
A Highly Efficient Numerical Method for the Time-Fractional Diffusion Equation on Unbounded Domains
In this paper, we propose a fast high order method for the time-fractional diffusion equation on unbounded spatial domains. The proposed numerical...
-
Numerical solution of the space-time fractional diffusion equation based on fractional reproducing kernel collocation method
This paper present an effective numerical approach for solving a class of space-time fractional diffusion equations. By discretizing the...
-
Fractional Anomalous Diffusion
In this chapter, we discuss the general problem of fractional diffusion equationFractional diffusion equation in connection with the anomalous...
-
Inverse Coefficient Problem for a Time-Fractional Diffusion Equation in the Bounded Domain
AbstractIn this paper, an inverse problem of determining a time-dependent source coefficient in a one-dimensional time-fractional diffusion equation...
-
General one-dimensional model of the time-fractional diffusion-wave equation in various geometries
This paper deals with the analysis of the time-fractional diffusion-wave equation as one-dimensional problem in a large plane wall, long cylinder,...
-
An efficient numerical method based on Chelyshkov operation matrix for solving a type of time-space fractional reaction diffusion equation
In this article, a numerical method based on Chelyshkov operation matrix is built to investigate a time-space fractional reaction diffusion model....
-
Reconstruction of pointwise sources in a time-fractional diffusion equation
This paper is concerned with an inverse pointwise source problem for the time-fractional diffusion equation in the two-dimensional case. The source...
-
Numerical methods for the forward and backward problems of a time-space fractional diffusion equation
In this paper, we consider the numerical methods for both the forward and backward problems of a time-space fractional diffusion equation. For the...
-
A numerical study on solving a fractional time-space diffusion equation via the finite difference method
This paper aims in develo** the finite difference scheme for riemann liouville space fractional diffusion equation and caputo fabrizio time...
-
Inverse Problems for Time-Fractional Mixed Equation Involving the Caputo Fractional Derivative
The key object of the present short note is the time-fractional mixed equation consisting of the sub-diffusion and fractional wave equations....
-
L1/LDG Method for Caputo-Hadamard Time Fractional Diffusion Equation
In this paper, a class of discrete Gronwall inequalities is proposed. It is efficiently applied to analyzing the constructed L1/local discontinuous...
-
Higher Order Computational Approach for Generalized Time-Fractional Diffusion Equation
The present article is devoted to develo** new finite difference schemes with a higher order of the convergence for the generalized time-fractional...
-
A stability result of a fractional heat equation and time fractional diffusion equations governed by fractional fluxes in the Heisenberg group
Our research is divided into two parts. The first part studies the asymptotic behavior of a class of nonlocal diffusion problems in the fractional...
-
Efficient numerical simulations based on an explicit group approach for the time fractional advection–diffusion reaction equation
The time-fractional advection–diffusion reaction equation (TFADRE) is a fundamental mathematical model because of its key role in describing various...
