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On the numerical solution of the one-dimensional Schrödinger equation
(IOP Publishing, 2016-04)
We discuss two sources of error in the numerical calculation of eigenvalues and eigenfunctions of the one-dimensional Schrödinger equation. By means of suitable examples we analyse the effect of both a finite mesh size and ...
Utilizando o metódo das características para resolver uma equação diferencial parcial hiperbólica
(Universidade Tecnológica Federal do ParanáCampo MouraoPrograma de Pós-Graduação em Matemática, 2013)
Depth study of the Wave Equation where there was a concern with the deduction of the wave equation for longitudinal vibrations with a dimension, bringing his detailed demonstration by Newton’s Second Law, applying the ...
Numerical solution of some boundary value problems in nonlinear magneto-elasticity
(Sage, 2015)
In the context of the theory of nonlinear magneto-elastic deformations, the problem of the extension (shortening) of a
cylinder of finite length under the influence of a magnetic field applied far away in free space is ...
The numerical solution of the Dirichlet problem for the Helmholtz equation
(Pergamon-elsevier Science LtdOxfordInglaterra, 1996)
Comparison Between Numerical Solutions of Fuzzy Partial Differential Equations via Interactive and Non-interactive Arithmetics: Application to the Heat Equation
(2022-01-01)
This paper provides a new numerical solution to partial differential equations, where the initial and boundary conditions are given by interactive fuzzy numbers. The interactivity considered here is the one obtained from ...
Numerical solution and validation concerning a descriptive model of a simultaneous heat and mass transfer process
(Praise Worthy Prize, 2011-07)
This paper deals with the numerical solution of an initial moving boundary problem (IMBVP) arising from a simplified version of a free boundary problem (IFBVP) which was formulated in another paper, as a mathematical model ...
Numerical Solution for Fuzzy Partial Differential Equations with Interactive Fuzzy Boundary Conditions
(2022-01-01)
This paper presents a numerical method to solve fuzzy partial differential equations, where the initial and boundary conditions are given by interactive fuzzy numbers. Interactivity is a relationship between fuzzy numbers ...
Finite elements numerical solution to deep beams based on layerwise displacement field
(2018-09-01)
This paper proposes a numerical solution to deep beams using the layerwise displacement theory. Most of the methods for performing structural analyses of deep beams have geometric and boundary conditions limitations, as ...
Convergence Criterium of Numerical Chaotic Solutions Based on Statistical Measures
(Scientific Research Publishing, 2011-04)
Solutions of most nonlinear differential equations have to be obtained numerically. The time series obtained by numerical integration will be a solution of the differential equation only if it is independent of the integration ...