When computing a partial differential equation, it is often necessary to introduce artificial boundaries. Here we explain a systematic method to obtain boundary conditions for the wave equation in one dimension, fitting to the discretization scheme and stable. Moreover, we give error estimates on the reflected part.

A research topic of current interest concerns the measurement and modeling adsorption isotherms water contaminants. The bulk measured equilibrium exhibit convex-upward or favorable curve shape, which can be described by two-parameter Hill-Langmuir Freundlich isotherms. An increasing number recent studies have however reported S-shaped sigmoidal Modeling such data requires use isotherm equations...

Well-being has been given special emphasis in quality of life. It involves living a meaningful, life satisfaction, stability and happiness in life. Well-being also concerns the satisfaction of physical, psychological, social needs and demands of an individual. The purpose of this study was to validate three-factor measurement model of well-being using structural equation modeling (SEM). The con...

Optical power spectra obtained from experiments or from numerical simulations are probabilistic in nature. When fitting such spectra to few-parameter analytical line shapes, the results from a weighted nonlinear least squares fit are significantly better than those from an unweighted fit. This is demonstrated by fitting a Lorentzian to directly simulated power spectra and to power spectra obtai...

in this paper an exponentially fitted finite difference method is presented for solving singularly perturbed two-point boundary value problems with the boundary layer. a fitting factor is introduced and the model equation is discretized by a finite difference scheme on an uniform mesh. thomas algorithm is used to solve the tri-diagonal system. the stability of the algorithm is investigated. it ...

The problem of fitting ellipsoids occurs in many areas of science. It is useful in pattern recognition, particle physics, computer graphics, medical imaging of organs, and statistical error analysis. We describe an algorithm for finding an equation for a multi-dimensional ellipsoid fit to a distribution of discrete data points. In general, we find that the algorithm works well for fitting ellip...