In this paper, the homotopy analysis method (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 (VIM), Adomian’s decomposition method (ADM) and homotopy perturbation method (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.
Alan : Fen Bilimleri ve Matematik; Mühendislik
Dergi Türü : Uluslararası
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