SOLUTION OF BURGER’S EQUATION BY HOMOTOPY PERTURBATION TRANSFORM METHOD
Journal Title: International Journal of Management, IT and Engineering - Year 2012, Vol 2, Issue 7
Abstract
In this paper, Homotopy Perturbation Transform Method (HPTM) is employed to approximate the solution of the Burgers equation which is a one-dimensional non-linear partial differential equation in fluid dynamics. This method is a combined form of the Laplace Transform method with the Homotopy Perturbation method. The nonlinear terms can be easily handled by the use of He’s Polynomials. The explicit solutions obtained were compared with the exact solutions. The method finds the solution without any discretization or restrictive assumptions and free from round-off errors and therefore reduce the numerical computation to a great extent. The results reveal that the HPTM is very effective, convenient and quite accurate to systems of partial differential equations. It is predicted that the HPTM can be found widely applicable in engineering.
Authors and Affiliations
Deepti Mishra, V. H Pradhan and M. N Mehta
Keywords
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