4 papers
A fast linearized finite difference method for the nonlinear multi-term time-fractional wave equation
Pin Lyu, Yuxiang Liang, Zhibo Wang
In this paper, we study a fast and linearized finite difference method to solve the nonlinear time-fractional wave equation with multi fractional orders. We first propose a discret…
High order difference schemes for a time fractional differential equation with Neumann boundary conditions
Seakweng Vong, Zhibo Wang
Based on our recent results, in this paper, a compact finite difference scheme is derived for a time fractional differential equation subject to the Neumann boundary conditions. Th…
A high order ADI scheme for the two-dimensional time fractional diffusion-wave equation
Zhibo Wang, Seakweng Vong
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 a…
Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
Zhibo Wang, Seakweng Vong
In this paper, compact finite difference schemes for the modified anomalous fractional sub-diffusion equation and fractional diffusion-wave equation are studied. Schemes proposed p…