From finite difference equation of unsteady-state heat conduction,according to vonNeumann method about scheme stability,the explicit scheme stability condition of two dimension computational heat conduction was given.

Comparative investigation of some high-order explicit schemes combined with QUICK for the convection-diffusion equation of pollutants;

In this paper we present two new explicit schemes which have improved stability condition.

The explicit scheme with artificial viscosity is given, then the convergence of the difference solution is proved by the method of discrete functional analysis.

Especially,let some coefficients of the nodes be 0,two order semi-explicit difference schemes can be deduced.

A single point precise integration method of two level four point explicit difference schemes with higher stability for dispresive equation;

In this paper, a branch absolute stable explicit difference scheme for solving the equation of three-dimensional parabolic type is proposed.