Finite difference method with different high order approximations for solving complex equation

In this paper, we take finite difference method with different high order approximations for solving Hirota Equation is presented. The stability analysis using Von-Neumann technique shows schemes are unconditionally stable. To test accuracy the error norms L 2 , L are computed. We compute local truncation error for different schemes. We make comparison between these approximations through the results that we are get it. These results show that the approximation of O(k 2 + h 4 ) introduced here is more accurate than others and easy to apply.