Numerical Solution of Burgers’-Type Equations Using Modified Variational Iteration Algorithm-I

Abstract

In this paper, we present modified variational iteration algorithm-I for the numerical solution of Burger's equations. In this recently developed technique, an auxiliary parameter is introduced which speed up the convergence rate of the series solutions. The suggested technique gives approximate and exact solutions with easily computable terms to linear and nonlinear PDEs without the Adomian polynomials, small perturbation, discretization or linearization.
In order to assess the precision, reliability and compactness, results of the proposed procedure are compared with the variational iteration method, which reveals that the MVIA-I exceptionally productive, computationally attractive and has more accuracy than the others methods. Two numerical test problems are given to judge the behaviour of the modified algorithms and absolute errors are used to evaluate the accuracy of the method. Numerical results are carried out for different values of the parameters.