A high order ADI scheme for the two-dimensional time fractional diffusion-wave equation

Abstract

In this paper, a compact alternating direction implicit (ADI) finite difference scheme for the two-dimensional time fractional diffusion-wave equation is developed, with temporal and spatial accuracy order equal to two and four respectively. The second order accuracy in the time direction has not been achieved in previous studies.

10 pages, 1 figure

References in corpus (1)

• Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation

Cited by in corpus (1)

• High order difference schemes for a time fractional differential equation with Neumann boundary conditions