Browsing by Author "Porghoveh, Neda A."
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Article Citation Count: 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/s11534-012-0038-7Comparison of iterative methods by solving nonlinear Sturm-Liouville, Burgers and Navier-Stokes equations(Versita, 2012) Golmankhaneh, Alireza K.; Khatuni, Tuhid; Porghoveh, Neda A.; Baleanu, DumitruIn 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 solutionsArticle Citation Count: Golmankhaneh, Alireza K.; Porghoveh, Neda A.; Baleanu, D. "Mean Square Solutıons of Second-Order Random Differential Equatıons By Using Homotopy Analysis Method", Romanian Reports In Physics, Vol. 65, No. 2, pp..350,361, (2013)Mean Square Solutions of Second-Order Random Differential Equatıons By Using Homotopy Analysis Method(Editura Academiei Romane, 2013) Golmankhaneh, Alireza K.; Porghoveh, Neda A.; Baleanu, Dumitru; 56389In this paper, the Homotopy Analysis Method (HAM) is successfully applied for solving second-order random differential equations, homogeneous or inhomogeneous. Expectation and variance of the approximate solutions are computed. Several numerical examples are presented to show the ability and efficiency of this method.