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In recent years, many more of the numerical methods were used to solve a wide range of mathematical, physical and engineering problems, linear and nonlinear. In this article, Homotopy Perturbation …
In recent years, many more of the numerical methods were used to solve a wide range of mathematical, physical and engineering problems, linear and nonlinear. In this article, Homotopy Perturbation Method (HPM) is employed to approximate the solution of the Burgers’ equation which is a one-dimensional non-linear differential equation in fluid dynamics. The explicit solution of the Burgers’ equation was obtained and compared with the exact solutions. We take the cases where the exact solution was not available for viscosity smaller than 0.01, we apply the HPM structure for obtaining the explicit solution. The results reveal that the HPM is very effective, convenient and quite accurate to partial differential equation.
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