Journal of Applied Sciences1812-56541812-5662Asian Network for Scientific Information10.3923/jas.2008.369.373NoorzadR. PoorA. Tahmasebi OmidvarM. 2200882Homotopy Perturbation Method (HPM) and Variational Iteration
Method (VIM) are employed to approximate the solution of the Burgers equation
which is a one-dimensional non-linear partial differential equation in
fluid dynamics. The explicit solutions obtained were compared with the
exact solutions. While the exact solution was not available for viscosity
smaller than 0.01, it was shown that mathematical structure of the equation
for the obtained explicit solutions did not decay. The results reveal
that the HPM and VIM are very effective, convenient and quite accurate
to systems of partial differential equations. It is predicted that the
HPM and VIM can be found widely applicable in engineering.]]>Abdou, M.A. and A.A. Soliman, 2005Aksan, E.N. and A. Ozdes,2004Aksan, E.N., A. Ozdes and T. Ozis,2006Benton, E.R. and G.W. Platzman,1972Bildik, N. and A. Konuralp,2006Caldwell, J., P. Wanless and B.L. Borrows,1980Caldwell, J., P. Wanless and A.E. Cook,1981Cole, J.D.,1951Ganji, D.D. and A. Sadighi,2006Ganji, D.D., and A. Sadighi,2007Ganji, D.D., M. Jannatabadi and E. Mohseni,2007He, J.H.,1999He, J.H.,1999He, J.H.,2000He, J.H.,2006Momani, S. and S. Abuasad,2006Özis, T. and A. Özdes,1996Özis, T., E.N. Aksan and A. Özdes,2003Saunders, R., J. Caldwell and P. Wanless,1984Varoglu, E. and W.D.L. Finn,1980Zhang, L.N. and J.H. He,2006Sweilam, N.H. and M.M. Khader,2007