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Browsing by Author "Fardi, Mojtaba"

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    Article
    A Perturbative Analysis Of Nonlinear Cubic-Quintic Duffing Oscillators
    (Editura Academiei Romane, 2014) Baleanu, Dumitru; Baleanu, Dumitru; Fardi, Mojtaba; 56389
    Duffing oscillators comprise one of the canonical examples of Hamilton systems. The presence of a quintic term makes the cubic-quintic Duffing oscillator more complex and interesting to study. In this paper, the homotopy analysis method (HAM) is used to obtain the analytical solution for the nonlinear cubic-quintic Duffing oscillators. The HAM helps to obtain the frequency omega in the form of approximation series of a convergence control parameter (h) over bar. The valid region of (h) over bar is determined by plotting the omega - (h) over bar curve and afterwards we compared the obtained results with the exact solutions.
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    Article
    Travelling Wave Solutions: A New Approach To The Analysis of Nonlinear Physical Phenomena
    (Sciendo, 2014) Baleanu, Dumitru; Baleanu, Dumitru; Fardi, Mojtaba; 56389
    In this manuscript, a reliable scheme based on a general functional transformation is applied to construct the exact travelling wave solution for nonlinear differential equations. Our methodology is investigated by means of the modified homotopy analysis method which contains two convergence-control parameters. The obtained results reveal that the proposed approach is a very effective. Several illustrative examples are investigated in detail.