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.

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Bibliographic Details
Published in:Mathematical Problems in Engineering Vol. 2012; no. 2012; pp. 977 - 988-355
Main Authors: Guimarães, Osvaldo, Piqueira, José Roberto Castilho
Format: Journal Article
Language:English
Published: Cairo, Egypt Hindawi Limiteds 01.01.2012
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Subjects:
Algorithms
Approximation
Boundaries
Boundary value problems
Computation
Derivatives
Engineering
Error analysis
Errors
Hilbert space
Mathematical analysis
Mathematical models
Methods
Numerical analysis
Polynomials
Studies
Upper bounds
ISSN:1024-123X, 1563-5147
Online Access:Get full text
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Summary: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.
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ISSN:1024-123X
1563-5147
DOI:10.1155/2012/565896