Error Upper Bounds for a Computational Method for Nonlinear Boundary and Initial-Value Problems

Error Upper Bounds for a Computational Method for Nonlinear Boundary and Initial-Value Problems

This work develops a computational approach for boundary and initial-value problems by using operational matrices, in order to run an evolutive process in a Hilbert space. Besides, upper bounds for errors in the solutions and in their derivatives can be estimated providing accuracy measures.

Bibliographic Details
Main Authors: Osvaldo Guimarães, José Roberto C. Piqueira
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2012/565896
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spelling doaj-cbac407bfc694ff3b16497d084eff7452020-11-24T22:21:00ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472012-01-01201210.1155/2012/565896565896Error Upper Bounds for a Computational Method for Nonlinear Boundary and Initial-Value ProblemsOsvaldo Guimarães0José Roberto C. Piqueira1Escola Politécnica da Universidade de São Paulo, Avenida Professor Luciano Gualberto, Travessa 3, No. 158, 05508-900 São Paulo, SP, BrazilEscola Politécnica da Universidade de São Paulo, Avenida Professor Luciano Gualberto, Travessa 3, No. 158, 05508-900 São Paulo, SP, BrazilThis work develops a computational approach for boundary and initial-value problems by using operational matrices, in order to run an evolutive process in a Hilbert space. Besides, upper bounds for errors in the solutions and in their derivatives can be estimated providing accuracy measures.http://dx.doi.org/10.1155/2012/565896
collection DOAJ
language English
format Article
sources DOAJ
author Osvaldo Guimarães
José Roberto C. Piqueira
spellingShingle Osvaldo Guimarães
José Roberto C. Piqueira
Error Upper Bounds for a Computational Method for Nonlinear Boundary and Initial-Value Problems
Mathematical Problems in Engineering
author_facet Osvaldo Guimarães
José Roberto C. Piqueira
author_sort Osvaldo Guimarães
title Error Upper Bounds for a Computational Method for Nonlinear Boundary and Initial-Value Problems
title_short Error Upper Bounds for a Computational Method for Nonlinear Boundary and Initial-Value Problems
title_full Error Upper Bounds for a Computational Method for Nonlinear Boundary and Initial-Value Problems
title_fullStr Error Upper Bounds for a Computational Method for Nonlinear Boundary and Initial-Value Problems
title_full_unstemmed Error Upper Bounds for a Computational Method for Nonlinear Boundary and Initial-Value Problems
title_sort error upper bounds for a computational method for nonlinear boundary and initial-value problems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2012-01-01
description This work develops a computational approach for boundary and initial-value problems by using operational matrices, in order to run an evolutive process in a Hilbert space. Besides, upper bounds for errors in the solutions and in their derivatives can be estimated providing accuracy measures.
url http://dx.doi.org/10.1155/2012/565896
work_keys_str_mv AT osvaldoguimaraes errorupperboundsforacomputationalmethodfornonlinearboundaryandinitialvalueproblems
AT joserobertocpiqueira errorupperboundsforacomputationalmethodfornonlinearboundaryandinitialvalueproblems
_version_ 1725772866136309760

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