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Zbl 1157.65074
Song, Lina; Wang, Qi; Zhang, Hongqing
Rational approximation solution of the fractional Sharma-Tasso-Olever equation. (English)
[J] J. Comput. Appl. Math. 224, No. 1, 210-218 (2009). ISSN 0377-0427

Summary: 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.

MSC 2000:: *65R20 Integral equations (numerical methods)
26A33 Fractional derivatives and integrals (real functions)
45K05 Integro-partial differential equations
45G10 Nonsingular nonlinear integral equations
65M70 Spectral, collocation and related methods (IVP of PDE)
35Q53 KdV-like equations

Keywords: variational iteration method; Adomian decomposition method; homotopy perturbation method; rational approximation solution; fractional Sharma-Tasso-Olever equation; fractional calculus; numerical results

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Zentralblatt MATH Berlin [Germany]