Approximate Analytical Solutions of the Fractional Sharma-Tasso-Olver Equation Using Homotopy Analysis Method and a Comparison with Other Methods

Authors : Alaattin ESEN, Orkun TAŞBOZAN, N. Murat YAĞMURLU

Pages : 0-0

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Publication Date : 2012-04-01

Article Type : Research Paper

Abstract :In this paper, the homotopy analysis method insert ignore into journalissuearticles values(HAM); is successfully applied to the fractional Sharma-Tasso-Olver equation to obtain its approximate analytical solutions. Comparison of the obtained results with those of variational iteration method insert ignore into journalissuearticles values(VIM);, Adomian’s decomposition method insert ignore into journalissuearticles values(ADM); and homotopy perturbation method insert ignore into journalissuearticles values(HPM); has led us to conclude that the method gives significantly important consequences. The HAM solution includes an auxiliary parameter ~ which provides a convenient way of adjusting and controlling the convergence region of solution series.
Keywords : Homotopy analysis method, approximate analytical solution, fractional Sharma Tasso Olver equation, fractional calculus