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• W2092285364 abstract "This paper is concerned with the alternative forms of the analytic solution of the Airy equation. Instead of the traditional Taylor series or asymptotic methods, a homotopy analysis technique is employed, which does not require a small perturbation parameter or large asymptotic parameter. It is shown that a proper choice of linear operator during implementation of the homotopy method can yield uniformly valid solutions, representing the exact decaying/growing Airy functions. Convergence of the homotopy series found is proved mathematically. The obtained explicit analytical expressions for the solution generate results that compare excellently with the numerically computed and large asymptotic ones." @default.
• W2092285364 created "2016-06-24" @default.
• W2092285364 creator A5074305055 @default.
• W2092285364 date "2012-10-22" @default.
• W2092285364 modified "2023-10-02" @default.
• W2092285364 title "The Airy equation and its alternative analytic solution" @default.
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• W2092285364 doi "https://doi.org/10.1088/0031-8949/86/05/055004" @default.
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