Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations

The decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearizatlon techniques. We consider first a nonlinear dissipative wave equation; second, a nonlinear equation modeling convectlon-diffusion processes; and finally, a...

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Main Author:	G. Adomian
Format:	Article
Language:	English
Published:	Hindawi Limited 1989-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Online Access:	http://dx.doi.org/10.1155/S0161171289000190

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spelling	doaj-ea7e262b372544a894c1064f85edbf5e2020-11-24T23:40:18ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-0112113714310.1155/S0161171289000190Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equationsG. Adomian0Center for Applied Mathematics, University of Georgia, Athens 30602, GeorgiaThe decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearizatlon techniques. We consider first a nonlinear dissipative wave equation; second, a nonlinear equation modeling convectlon-diffusion processes; and finally, an elliptic partial differential equation.http://dx.doi.org/10.1155/S0161171289000190
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	G. Adomian
spellingShingle	G. Adomian Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations International Journal of Mathematics and Mathematical Sciences
author_facet	G. Adomian
author_sort	G. Adomian
title	Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
title_short	Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
title_full	Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
title_fullStr	Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
title_full_unstemmed	Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
title_sort	application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	1989-01-01
description	The decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearizatlon techniques. We consider first a nonlinear dissipative wave equation; second, a nonlinear equation modeling convectlon-diffusion processes; and finally, an elliptic partial differential equation.
url	http://dx.doi.org/10.1155/S0161171289000190
work_keys_str_mv	AT gadomian applicationofdecompositiontohyperbolicparabolicandellipticpartialdifferentialequations
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Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations

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