Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations

In this paper coupled implicit initial-boundary value systems of second order partial differential equations are considered. Given a finite domain and an admissible error ϵ an analytic approximate solution whose error is upper bounded by ϵ in the given domain is constructed in terms of the data.

Bibliographic Details
Main Author:	Lucas Jódar
Format:	Article
Language:	English
Published:	Hindawi Limited 1992-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	implicit coupled partial differential system approximate solution error bound Padé approximant.
Online Access:	http://dx.doi.org/10.1155/S0161171292000887

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spelling	doaj-3bd35921caf4441a812d283803c3d1972020-11-25T00:03:22ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115466367210.1155/S0161171292000887Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equationsLucas Jódar0Departamento de Matemática Aplicada, Universidad Politécnica, P.O.Box 22.012, Valencia 46071, SpainIn this paper coupled implicit initial-boundary value systems of second order partial differential equations are considered. Given a finite domain and an admissible error ϵ an analytic approximate solution whose error is upper bounded by ϵ in the given domain is constructed in terms of the data.http://dx.doi.org/10.1155/S0161171292000887implicit coupled partial differential systemapproximate solutionerror boundPadé approximant.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Lucas Jódar
spellingShingle	Lucas Jódar Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations International Journal of Mathematics and Mathematical Sciences implicit coupled partial differential system approximate solution error bound Padé approximant.
author_facet	Lucas Jódar
author_sort	Lucas Jódar
title	Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations
title_short	Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations
title_full	Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations
title_fullStr	Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations
title_full_unstemmed	Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations
title_sort	exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	1992-01-01
description	In this paper coupled implicit initial-boundary value systems of second order partial differential equations are considered. Given a finite domain and an admissible error ϵ an analytic approximate solution whose error is upper bounded by ϵ in the given domain is constructed in terms of the data.
topic	implicit coupled partial differential system approximate solution error bound Padé approximant.
url	http://dx.doi.org/10.1155/S0161171292000887
work_keys_str_mv	AT lucasjodar exactapproximatesolutionsanderrorboundsforcoupledimplicitsystemsofpartialdifferentialequations
_version_	1725434474842292224

Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations

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