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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