Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains

Compact difference scheme for semi-linear delayed diffusion wave equation with fractional order in time

A compact difference scheme for a class of non-linear fractional diffusion-wave equations with fixed time delay is considered. Analysis of the constructed difference scheme is done in L∞-norm by means of the discrete energy method. A numerical test example is introduced to illustrate the accuracy and efficiency of the proposed method.

Distributed-order fractional diffusions on bounded domains

A Finite Difference Scheme based on Cubic Trigonometric B-splines for Time Fractional Diffusion-wave Equation

In this paper, we propose an efficient numerical scheme for the approximate solution of the time fractional diffusion-wave equation with reaction term based on cubic trigonometric basis functions. The time fractional derivative is approximated by the usual finite difference formulation and the derivative in space is discretized using cubic trigonometric B-spline functions. A stability analysis ...

Space–time fractional diffusion on bounded domains

Finite difference Schemes for Variable-Order Time fractional Diffusion equation

Variable-order fractional diffusion equation model is a recently developed and promising approach to characterize time-dependent or concentration-dependent anomalous diffusion, or diffusion process in inhomogeneous porous media. To further study the properties of variableorder time fractional subdiffusion equation models, the efficient numerical schemes are urgently needed. This paper investiga...