Solution of Burger’s Equations by Orthogonal Collocation on Finite Elements Hermite Basis

Abstract

Abstract-Nonlinear parabolic Burgers' equations arising in unsteady flow of the generalized Newtonian fluid are solved numerically by Orthogonal Collocation on Finite Elements using Hermite Basis. The technique is used for discretization along with the zeros of Chebyshev polynomial as collocation points. Results are compared with exact solution and error analysis is shown for different techniques used earlier for the solution of the Burger's equations.