The decomposition method applied to stiff systems
type: Item
instance of: scholarly article
title: The decomposition method applied to stiff systems
zbMATH Open document ID: 0645.65040
DOI: 10.1016/0378-4754(88)90006-7
author: G. Adomian
author: M. Elrod
author: Randolph Rach
published in: Mathematics and Computers in Simulation
publication date: 1988-01-01T00:00:00Z
review text: It is shown that the decomposition method [cf. the first author, Nonlinear stochastic operator equations (1986; Zbl 0609.60072)] can be successfully applied to a stiff system of differential equations to obtain a converging series which is summed for an analytic solution. Example worked out shows the advantages of this method over fourth- and fifth order Runge-Kutta methods.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65J99
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4052909
zbMATH Keywords: approximation by series
zbMATH Keywords: decomposition method
zbMATH Keywords: stiff system
zbMATH Keywords: Runge-Kutta methods
reviewed by: K. T. S. Iyengar
MaRDI profile type: Publication
full work available at URL: 0378-4754(88)90006-7
OpenAlex ID: W1998260039
cites work: Nonlinear equations with mixed derivatives
cites work: Continuous approximate solution of ordinary differential equations and their systems
description: scientific article; zbMATH DE number 4052909