Rational approximation solution of the fractional Sharma-Tasso-Olever equation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:224

Article

Song, Lina¹  Wang, Qi²  Zhang, Hongqing¹ 

[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

关键词: Variational iteration method;    Adomian decomposition method;    Homotopy perturbation method;    Rational approximation solution;    Fractional Sharma-Tasso-Olever equation;    Fractional calculus;   

DOI  :  10.1016/j.cam.2008.04.033

来源: Elsevier

【 摘 要 】

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. (C) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

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