Explicit Exponential Finite Difference Methods for the Numerical Solution of Modified Burgers’ Equation

In this study, explicit exponential finite difference schemes based on four different linearization techniques are given for the numerical solutions of the Modified Burgers' equation. A model problem is used to verify the efficiency and accuracy of the methods that we proposed. Also comparisons are made with the relevant ones in the literature. It is shown that all results that are found to be in good agreement with those available in the literature. L2 and error norms are calculated. The obtained error norms are suciently small in all computer runs. The results show that the present method is a successful numerical scheme for solving the Modified Burgers' equation.

Keywords:

Burgers’ equation,

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