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Browsing by Author "Porghoveh, Neda A."

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    Citation - WoS: 31
    Citation - Scopus: 30
    Comparison of iterative methods by solving nonlinear Sturm-Liouville, Burgers and Navier-Stokes equations
    (de Gruyter Poland Sp Z O O, 2012) Golmankhaneh, Alireza K.; Baleanu, Dumitru; Khatuni, Tuhid; Porghoveh, Neda A.; Baleanu, Dumitru; Matematik
    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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    Article
    Citation - WoS: 48
    Citation - Scopus: 51
    Mean Square Solutions of Second-Order Random Differential Equatıons By Using Homotopy Analysis Method
    (Editura Acad Romane, 2013) Golmankhaneh, Alireza K.; Baleanu, Dumitru; Porghoveh, Neda A.; Baleanu, D.; 56389; Matematik
    In 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.