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Comparison of iterative methods by solving nonlinear Sturm-Liouville, Burgers and Navier-Stokes equations

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2012

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Abstract

In this manuscript the homotopy perturbation method, the new iterative method, and the variational iterative method have been successively used to obtain approximate analytical solutions of nonlinear Sturm-Liouville, Navier-Stokes and Burgers' equations. It is shown that the homotopy perturbation method gives approximate analytical solution near to the exact one. We have illustrated the obtained results by sketching the graph of the solutions

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Homotopy Perturbation Method, New Iterative Method, Variational Iterative Method, Nonlinear Sturm-Liouville, Nonlinear Navier-Stokes

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Golmankhaneh, A.K...et al. (2012). Comparison of iterative methods by solving nonlinear Sturm-Liouville, Burgers and Navier-Stokes equations. Central European Journal Of Physics, 10(4), 966-976. http://dx.doi.org/10.2478/s11534-012-0038-7

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Source

Central European Journal Of Physics

Volume

10

Issue

4

Start Page

966

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976