Numerical study of Lorenz's equation by the Adomian method
type: Item
instance of: scholarly article
title: Numerical study of Lorenz's equation by the Adomian method
zbMATH Open document ID: 0869.65044
DOI: 10.1016/S0898-1221(96)00234-9
author: S. Guellal
author: P. Grimalt
author: Yves Cherruault
publication date: 1997-08-11T00:00:00Z
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 86A10
zbMATH DE Number: 1002345
zbMATH Keywords: decomposition method
zbMATH Keywords: Adomian's polynomials
zbMATH Keywords: differential system
zbMATH Keywords: Lorenz equations
zbMATH Keywords: Runge-Kutta technique
zbMATH Keywords: meteorology
zbMATH Keywords: butterfly effect
zbMATH Keywords: comparison
MaRDI profile type: Publication
cites work: Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
cites work: A review of the decomposition method and some recent results for nonlinear equations
cites work: Solving frontier problems of physics: the decomposition method
cites work: Convergence of Adomian's method applied to differential equations
cites work: New ideas for proving convergence of decomposition methods
cites work: Convergence of Adomian's Method
cites work: Decomposition methods: A new proof of convergence
cites work: Practical formulae for the calculus of multivariable Adomian polynomials
cites work: The decomposition method applied to differential systems
cites work: Q4837103
cites work: Application of the decomposition method to identify the distributed parameters of an elliptical equation
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 1002345