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Zbl 1096.65067
Yusufoğlu (Agadjanov), Elçin
Numerical solution of Duffing equation by the Laplace decomposition algorithm. (English)
[J] Appl. Math. Comput. 177, No. 2, 572-580 (2006). ISSN 0096-3003

Summary: The Laplace decomposition algorithm (LDA) is a numerical algorithm and can be adapted to solve Duffing equations. This paper both describes the principle of LDA and discusses its advantages and drawbacks. Concrete example are also studied to show with numerical results how the LDA works efficiently.

MSC 2000:: *65L05 Initial value problems for ODE (numerical methods)
34A25 Analytical theory of ODE
44A10 Laplace transform
34A34 Nonlinear ODE and systems, general
65R10 Integral transforms (numerical methods)

Keywords: Laplace decomposition algorithm; Duffing equation; Maple; Pade approximant; numerical examples

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