Rational approximation solution of the fractional Sharma–Tasso–Olever equation |
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Authors: | Lina Song Qi Wang Hongqing Zhang |
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Institution: | 1. Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China;2. School of Mathematical Sciences, Fudan University, Shanghai 200433, China |
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Abstract: | In the paper, we implement relatively new analytical techniques, the variational iteration method, the Adomian decomposition method and the homotopy perturbation method, for obtaining a rational approximation solution of the fractional Sharma–Tasso–Olever equation. The three methods in applied mathematics can be used as alternative methods for obtaining an analytic and approximate solution for different types of differential equations. In these schemes, the solution takes the form of a convergent series with easily computable components. The numerical results demonstrate the significant features, efficiency and reliability of the three approaches. |
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Keywords: | Variational iteration method Adomian decomposition method Homotopy perturbation method Rational approximation solution Fractional Sharma&ndash Tasso&ndash Olever equation Fractional calculus |
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