Compact finite difference method for the fractional diffusion equation

The compact finite difference approximation for the second order space derivative is explained in paper [17] with applications for reaction- ...

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

In this paper, a compact finite difference scheme for the fractional sub-diffusion equations is derived. After a transformation of the ...

26 References · An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations · Convergence of the ...

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

In this paper, a compact finite difference scheme for the fractional sub-diffusion equations is derived. After a transformation of the original problem, ...

Compact finite difference schemes for the time fractional diffusion ...

Convergence analysis for the compact finite difference scheme for diffusion equations with integral boundary conditions was given in Cui (2015).

A compact difference scheme for the fractional diffusion-wave equation

Du, Cao, and Sun [14] have used the compact finite difference method to solve the fractional diffusion-wave equation. Gao and Sun [17] have ...

Compact difference schemes for the modified anomalous fractional ...

Abstract:In this paper, compact finite difference schemes for the modified anomalous fractional sub-diffusion equation and fractional ...

Compact finite difference method to numerically solving a stochastic ...

In this paper, a stochastic space fractional advection diffusion equation of Itô type with one-dimensional white noise process is presented.

A finite difference method for fractional diffusion equations with ...

A finite difference numerical method is investigated for fractional order diffusion problems in one space dimension. The basis of the mathematical model and ...

Compact Finite Difference Methods for the Solution of One ...

[11]developed a compact finite difference scheme for the time fractional diffusion equation when 1< <2 so that the fractional wave equation was also considered.

A High-Order Compact Finite Difference Scheme for the Fractional ...

Gao and Sun [13] applied the approximation for the time-fractional derivative and developed a compact finite difference scheme for the ...

An implicit fully discrete compact finite difference scheme for time ...

In this paper, an implicit compact finite difference (CFD) scheme was constructed to get the numerical solution for time fractional diffusion-wave equation ...

High‐order compact finite difference method for the multi‐term time ...

In this paper, the multi-term time fractional mixed diffusion and diffusion-wave equation is investigated. Firstly, a compact finite ...

A High-Order Compact Finite Difference Scheme for the Fractional ...

Based on the weighted and shifted Grünwald operator, a new high-order compact finite difference scheme is derived for the fractional sub-diffusion equation.

High order compact difference scheme for solving the time multi ...

In this paper, a high order compact finite difference is established for the time multi-term fractional sub-diffusion equation. The derived numerical ...

a compact finite difference scheme for space-time fractional diffusion ...

In this paper, we present a compact finite difference scheme for the Dirichlet problem of a class of space-time fractional diffusion equations with time ...

Compact Finite Difference Scheme for the Fourth-Order Fractional ...

In this paper, we study a high-order compact difference scheme for the fourth-order fractional subdiffusion system. We consider the situation in which the ...

Stable finite difference method for fractional reaction–diffusion ...

This system of ordinary differential equations is solved by an efficient compact implicit integration factor (cIIF) method. The stability of the ...

Efficient Numerical Solutions for Fuzzy Time Fractional Diffusion ...

We focus on solving the fuzzy time diffusion equation with a fractional order of 0 < α ≤ 1, using two explicit compact finite difference schemes that are the ...

a compact finite difference scheme for the fourth-order time multi ...

Multi-term, fractional sub-diffusion equations, the first Dirichlet boundary condi- tions, stability, convergence. 1. Introduction. With the development of ...