An exponential finite difference technique is first presented by Bhattacharya for one‐dimensional unsteady state. In this study, the exponential finite difference technique was used to solve the Burgers’ equationin one‐dimensional with different value of h(stepsize). Burgers’ equation is considered in this study because the equation governing simple nonlinear diffusion process.Since the Burgers’ equation is nonlinear, the Hopf‐Coletrans for mation is applied to the linear heat equation which was converted from Burgers’ equation. Then, the exponential finite difference methods are used to obtain numerical solution. Three techniques have been implemented namely explicit exponential finite difference method, implicit exponential finite difference method and modified Burgers’ equation using explicit exponential finite difference method. In the solution process, the explicit exponential finite difference method used a direct to solve the Burgers’ equation while the implicit exponential finite difference method leads to a system of nonlinear equation. A teach time‐level, Newton’s method is used to solve the nonlinear system. The solution of the one‐dimensional modified Burgers’ equation is using the explicit exponential finite difference method. The solution process has discretized the time derivative and spatial derivative using exponential finite difference technique. Numerical solutions for each method are compared with exact solution and the results obtained using the three methods are precise and reliable. The percent errors are computed and found to be sufficiently small.
