By introducing dissipative term into conventional explicit schemes and choosing apropos parameter,several two-level explicit difference schemes are established for solving the equation of two-dimensional parabolic type.

A two-level four-point explicit difference schemes of the exponential type for dispersive equation U t=aU xxx is proposed in this paper,which is unconditionally stable and has a local truncation error of O(τ+h).

Study of two level explicit difference schemes for unsteady convection-diffusion problems;

An explicit difference scheme with high precision for solving the parabolic equation;

In the paper we present a numerical method to solve nonlinear sinusoidal vibration equation,in which the explicit difference scheme is applied to discrete the space variable x and the time variable t and trapezoidal rule is adopted to calculate the nonlinear integration.