A fractional scheme is proposed to solve time-fractional partial differential equations.
According to the considered fractional Taylor series, the scheme is compact in space and …

Discussion: “A Numerical Scheme for Fractional Mixed Convection Flow Over Flat and
Oscillatory Plates” (Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh, 2022, ASME J …

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 …

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 …

A high-order compact exponential finite difference scheme for solving the fractional
convection–diffusion equation is considered in this paper. The convection and diffusion …

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 …

A new characteristic finite difference method for solving the two-sided space-fractional
convection–diffusion equations is presented, by combining characteristic methods and …