Application of decomposition to convection-diffusion equations
type: Item
instance of: scholarly article
title: Application of decomposition to convection-diffusion equations
zbMATH Open document ID: 0631.65119
DOI: 10.1016/0893-9659(88)90164-4
author: G. Adomian
published in: Applied Mathematics Letters
publication date: 1988-01-01T00:00:00Z
review text: The decomposition method [cf. the author's book: Nonlinear stochastic operator equations (1986; Zbl 0609.60072)] allows a promising approach to a number of significant problems of engineering or physics which are nonlinear and/or stochastic - some formerly intractable, such as Navier- Stokes - with analytic and physically realistic solutions without customary linearization or discretization provided realistic initial- boundary conditions are specified. Application to the nonlinear parabolic partial differential equations \(u_ t-\alpha u_{xx}+f(u,t,x)u_ x\) modeling convection-diffusion processes demonstrates the procedure.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 35K60
zbMATH DE Number: 4026755
zbMATH Keywords: decomposition method
zbMATH Keywords: linearization
zbMATH Keywords: discretization
zbMATH Keywords: convection-diffusion processes
MaRDI profile type: Publication
full work available at URL: 0893-9659(88)90164-4
OpenAlex ID: W2070227506
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description: scientific article; zbMATH DE number 4026755