EFD

This scheme is an explicit finite difference method.

In this paper, the numerical solution of Caputo fractional reaction-diffusion equation with explicit finite difference method is accelerated on GPU.

Acedo, "An explicit finite difference method and a new von Neumann-type stability analysis for fractional diffusion equations," SIAM Journal on Numerical Analysis, vol.

Beginning from the approach by Zivkovic and Fujii (2001), in which a simple, implicit computational model for an isothermal phase change was presented, the authors developed a modified algorithm based on an explicit finite difference formulation of the heat equation.

Now, by using Lemma 4, we can derive the truncation error of explicit finite difference scheme (14).

Because only 1-D heat conduction is being considered, the computation time is small relative to the 3-D problem; thus, an explicit finite difference method will be used to numerically solve Eq 1.

The NFPA developed a mathematical model to calculate fluid and particle temperatures using an explicit finite difference discretization scheme.

Using an explicit finite difference method, predictions were made of the metal temperature as it reached different parts of a simplified 3-D permanent mold.

Pochat, "A numerical simulation of a three-dimensional air quality model in an area under a Bangkok sky train platform using an explicit finite difference scheme," IAENG International Journal of Applied Mathematics, vol.

It is well known that explicit finite difference models for solution of differential equation require restriction on step size to prevent the numerical instabilities.

A second order explicit finite difference method for the fractional advection diffusion equation.

Some researchers (see, e.g., [3, 13-15]) have also constructed explicit finite difference schemes for (4)-(5) and investigated their consistency and stability.