aDepartment of Mechanical Engineering, Iran University of Science and Technology, 16846-13114 Tehran, Iran
bDepartment of Civil Engineering, Amirkabir University of Technology, 15875-4413 Tehran, Iran
Abstract:
We consider variational iteration method to investigate generalized Burger–Fisher and Burger equations. In this method, general Lagrange multipliers are introduced to construct correction functionals for the problems. The multipliers in the functionals can be identified optimally via variational theory. Comparison with Adomian decomposition method reveals that the approximate solutions obtained by the proposed method converge to its exact solution faster than those of Adomian’s method. Its remarkable accuracy is finally demonstrated in the study of some values of constants in generalized Burger–Fisher and Burger equations.