”Numerical Solution Of Burger-Fisher Equation Using Finite Element Method”.

Abstract

In this thesis, we consider the well known numerical method such as Finite Element Method to find the numerical approxima tion of nonlinear parabolic partial differential equations. Study the numerical solution of the Burger fishe equation and Colloca tion method with regular and irregular geometrical shapes. The numerical scheme used here is a finite element method in a sim ple and convenient way. We mainly focus to find out the accuracy and acceptance of this method by applying small time step size. To convey the efficiency of this method for solving the nonlinear equation, the results are portrayed both graphically and in tabu lar form which demonstrate the efficiency of this algorithm. The method can be applied for solving any nonlinear parabolic partial differential equations.