Application Of Mathematical Methods For Condition Monitoring Of Oil And Gas Facilities
Journal Title: Journal of Applied Computer Science & Mathematics - Year 2016, Vol 10, Issue 21
Abstract
irections for numerical realization of two-dimensional models in different frames account for environmental heterogeneity of matter distribution have been presented. The schemes allow to measure concentration of substances in real objects through building of functions, modeling various boundary conditions. A software complex for their implementation has been devised and the test findings as well as their analysis have been presented. To model processes which parameters depend on three spatial coordinates, we have suggested numerical schemes for implementing three-dimensional models that are absolutely stable and have the second order of accuracy at all spatial coordinates. Contaminated areas of anthropogenic origin, particularly surface and underground waters as well as soils have been analyzed. The mathematical models of diffusion processes, based on the use of two- and three-dimensional diffusion equations with a wide range of boundary and initial conditions, have been suggested. It is determined that exact solutions prohibit studying of the peculiarities of their behavior depending on the type of boundary conditions, therefore we suggest using numerical solutions.
Authors and Affiliations
MANDRYK 1 O. M. , OLIJNYK A. P. , MOROZ A. A.
Keywords
Related Articles
- EP ID EP444167
- DOI 10.4316/JACSM.201601007
- Views 377
- Downloads 0
Study of Complexities in Bouncing Ball Dynamical System
Evolutionary motions in a bouncing ball system consisting of a ball having a free fall in the Earth’s gravitational field have been studied systematically. Because of nonlinear form of the equations of motion, evolutions...
Removal of Baseline Wander Noise from Electrocardiogram (ECG) using Fifth-order Spline Interpolation
Abstract–Baseline wandering can mask some important features of the Electrocardiogram (ECG) signal hence it is desirable to remove this noise for proper analysis and display of the ECG signal. This paper presents the imp...
Approximate solution of high-order integro-differential equations using radial basis functions
In this paper, we present a numerical method to solve linear and nonlinear high-order Volterra integro-differential equations. This method is based on interpolating by radial basis functions, using Legendre-Gauss-Lobatto...
Two-dimensional Spectral Approximation
In this article, we propose a two-dimensional polynomial basis which extends Legendre series approximation to bivariate functions. We also present a theoretical study of the stability and the error estimation of the Ta...
Template Matching of Colored Image Based on Quaternion Fourier Transform and Image Pyramid Techniques
–Template matching method is one of the most significant object recognition techniques and it has many applications in the field of digital signal processing and image processing and it is the base for object tracking in...