Abstract:
The purpose of this paper is to set up and analyze difference schemes for solving the initial value problem for well-known Korteweg de-Vries (simply K-dV) equation. We have examined four different numerical schemes of finite difference method for K-dV equation. After the discussion of a difference scheme which is correctly centered in both space and time, the construction of difference schemes which implicitly contain the effect of dissipation is described. Then we have compared the difference scheme with the exact solution of Korteweg de-Vries equation
