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

Similar Items

Combining Legendre's Polynomials and Genetic Algorithm in the Solution of Nonlinear Initial-Value Problems
by: Osvaldo Guimarães, et al.
Published: (2011-01-01)

Bounds for linear and nonlinear initial value problems
by: Desai, Narendrakumar Chhotubhai
Published: (2011)

Application of functional bounds to nonlinear boundary value problems
by: Nagar, Atulya Kumar
Published: (1996)

Initial-Boundary Value Problems for Nonlinear Dispersive Equations of Higher Orders Posed on Bounded Intervals with General Boundary Conditions
by: Nikolai A. Larkin, et al.
Published: (2021-01-01)

On the solutions of nonlinear initial-boundary value problems
by: Vladimír Ďurikovič, et al.
Published: (2004-01-01)

The first initial boundary-value problem for telegraph equation in bounded domain
by: V. A. Ostapenko
Published: (2009-10-01)

Nonlinear singular hyperbolic initial boundary value problems
by: Said Mesloub, et al.
Published: (2017-11-01)

On an initial-boundary value problem for the nonlinear Schrödinger equation
by: Herbert Gajewski
Published: (1979-01-01)

Existence of positive solutions for nonlinear boundary value problems in bounded domains of ℝn
by: Faten Toumi
Published: (2006-01-01)

ERROR-BOUNDS FOR THE SOLUTION OF TWO-POINT BOUNDARY-VALUE PROBLEMS BASED ON THE KANTOROVICH THEOREM
by: MCCARTHY, MARY ANNE
Published: (2007)

On singular nonlinear distributional and impulsive initial and boundary value problems
by: Heikkilä Seppo
Published: (2011-01-01)

Nonlinear initial boundary-value problems with Riesz fractional derivative
by: Martin P. Arciga-Alejandre
Published: (2015-11-01)

On Some Initial and Initial Boundary Value Problems for Linear and Nonlinear Boussinesq Models
by: Said Mesloub, et al.
Published: (2019-10-01)

The upper and lower solution method for nonlinear third-order three-point boundary value problem
by: Jian-Ping Sun, et al.
Published: (2010-05-01)

Computational approaches to initial-boundary value problems with Neumann boundary conditions
by: H. O. Bakodah, et al.
Published: (2018-09-01)

Initial-boundary value problems for quasilinear dispersive equations posed on a bounded interval
by: Andrei V. Faminskii, et al.
Published: (2010-01-01)

Projection methods for nonlinear boundary value problems
by: Reddien, George William
Published: (2009)

On initial-boundary value problem for nonlinear integro-differential equations with variable exponents of nonlinearity
by: Oleh Buhrii, et al.
Published: (2017-08-01)

Initial boundary value problems for some damped nonlinear conservation laws
by: Manoj Yadav
Published: (2015-11-01)

Initial and Boundary Value Problems for a Class of Nonlinear Metaparabolic Equations
by: Huafei Di, et al.
Published: (2021-01-01)

On Initial Boundary Value Problems with Equivalued Surface for Nonlinear Parabolic Equations
by: Li Fengquan
Published: (2009-01-01)

Strongly nonlinear parabolic initial-boundary value problems in Orlicz spaces
by: Abdelhak Elmahi
Published: (2002-12-01)

On Initial Boundary Value Problems with Equivalued Surface for Nonlinear Parabolic Equations
by: Fengquan Li
Published: (2009-01-01)

Initial-boundary value problems for linear and integrable nonlinear evolution PDEs
by: Mantzavinos, Dionyssios
Published: (2012)

An Overview of the Lower and Upper Solutions Method with Nonlinear Boundary Value Conditions
by: Cabada Alberto
Published: (2011-01-01)

An Overview of the Lower and Upper Solutions Method with Nonlinear Boundary Value Conditions
by: Alberto Cabada
Published: (2011-01-01)

Computable error bounds for collocation methods
by: A. H. Ahmed
Published: (1995-01-01)

Initial and Initial-Boundary value problems
by: Melrose, R. B.
Published: (1973)

A computational method for nonlinear 2m‐th order boundary value problems
by: Yu F. Zhou, et al.
Published: (2010-11-01)

Complex Boundary Value Problems of Nonlinear Differential Equations: Theory, Computational Methods, and Applications
by: Xinguang Zhang, et al.
Published: (2013-01-01)

INITIAL-VALUE METHOD FOR TWO-POINT BOUNDARY-VALUE PROBLEMS
by: LIU, CHUNG-TSONG
Published: (2007)

Upper bounds to error probability with feedback
by: Zheng, Lizhong, et al.
Published: (2010)

Bivariational methods and their application to nonlinear boundary value problems
by: Clegg, Janet
Published: (1992)

Initial boundary value problem for generalized Zakharov equations with nonlinear function terms
by: Xueqin Wang, et al.
Published: (2020-05-01)

Initial-boundary value problems for nonlinear pseudoparabolic equations in a critical case
by: Elena I. Kaikina
Published: (2007-08-01)

Nonhomogeneous Initial Boundary Value Problems for Two-Dimensional Nonlinear Schrodinger Equations
by: Ran, Yu
Published: (2014)

Upper and lower solution method for boundary value problems at resonance
by: Samerah Al Mosa, et al.
Published: (2016-06-01)

Lower bounds on the estimation error in problems of distributed computation
by: Como, Giacomo, et al.
Published: (2010)

The generalized method of quasilinearization and nonlinear boundary value problems with integral boundary conditions
by: Rahmat Khan
Published: (2003-10-01)

Generalized quasilinearization method for nonlinear boundary value problems with integral boundary conditions
by: Li Sun, et al.
Published: (2010-11-01)

Cannot write session to /tmp/vufind_sessions/sess_8odp7dsgks2h9f93t1nk7uk4a0