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 378
- Downloads 0
Reduced Differential Transform Method for Exact Solution of Parabolic and Hyperbolic Partial Differential Equations
Aim of the paper is to obtain solution of parabolic, elliptical and coupled partial differential equation using Reduced Differential Transform Method (RDTM). The results are compared with solution obtained by other metho...
The Evolution of the Processing Power Needed by the Primary Cryptocurrencies and its profit.
This paper intends to follow the evolution of the processing power needed to mine cryptocurrencies. Because by this year, 2018, they evolved to being over 1500 cryptos, we shell consider reviewing the first 5: Bitcoin, E...
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...
Framework for Urdu News Headlines Classification
Automatic text classification has great significance in the field of text mining and plays a pivotal role in areas such as spam filtering, news classification, noise reduction etc. It is evident from the literature that...
Evaluating Web-based Technologies: The Paradigm of User-centricity
–Web Search Engines (WeSEs) are information systems that demonstrate large scale distributed system capabilities, and are fluxing and dynamic in nature. It is necessary to continually review them. There is need for metho...