An implicit difference scheme is presented for a space–time fractional convection–diffusion equation. The equation is obtained from the classical integer order convection–diffusion …
Y Zhang - Applied Mathematics and Computation, 2009 - Elsevier
An implicit unconditional stable difference scheme is presented for a kind of linear space– time fractional convection–diffusion equation. The equation is obtained from the classical …
This contribution is concerned with constructing a fractional explicit‐implicit numerical scheme for solving time‐dependent partial differential equations. The proposed scheme has …
A third-order numerical scheme is proposed for solving fractional partial differential equations (PDEs). The first explicit stage can converge fast, and the second implicit stage is …
In this article, we consider a higher-order numerical scheme for the fractional heat equation with Dirichlet and Neumann boundary conditions. By using a fourth-order compact finite …
M Cui - Journal of computational and applied mathematics, 2014 - Elsevier
A high-order compact exponential finite difference scheme for solving the fractional convection–diffusion equation is considered in this paper. The convection and diffusion …
D Li, W Sun, C Wu - Numer. Math. Theor. Meth. Appl, 2021 - doc.global-sci.org
This paper is concerned with numerical solutions of time-fractional parabolic equations. Due to the Caputo time derivative being involved, the solutions of equations are usually singular …
L Su, W Wang, H Wang - Applied numerical mathematics, 2011 - Elsevier
A new characteristic finite difference method for solving the two-sided space-fractional convection–diffusion equations is presented, by combining characteristic methods and …