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Zbl 0869.65044
Guellal, S.; Grimalt, P.; Cherruault, Y.
Numerical study of Lorenz's equation by the Adomian method. (English)
[J] Comput. Math. Appl. 33, No.3, 25-29 (1997). ISSN 0898-1221

Summary: We use the decomposition method of Adomian for solving differential systems coming from physics (meteorology). We also give a comparison between the Runge-Kutta method and the decomposition technique. Furthermore, we reconfirm the famous ``butterfly effect''.

MSC 2000:: *65L05 Initial value problems for ODE (numerical methods)
65L60 Finite numerical methods for ODE
34A34 Nonlinear ODE and systems, general
86A10 Meteorology

Keywords: decomposition method; Adomian's polynomials; differential system; Lorenz equations; Runge-Kutta technique; meteorology; butterfly effect; comparison

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Zentralblatt MATH Berlin [Germany]