GENERATION OF SYMMETRICAL COLORED IMAGES VIA SOLUTION OF THE INVERSE PROBLEM OF CHEMICAL REACTIONS DISCRETE CHAOTIC DYNAMICS

2006 ◽  
Vol 16 (05) ◽  
pp. 1419-1434 ◽  
Author(s):  
V. GONTAR ◽  
O. GRECHKO
Keyword(s):  
Genetic Algorithm ◽  
Mathematical Model ◽  
Inverse Problem ◽  
Mathematical Models ◽  
Chemical Reactions ◽  
Chaotic Dynamics ◽  
Two Dimensional

An automatic procedure for generating colored two-dimensional symmetrical images based on the chemical reactions discrete chaotic dynamics (CRDCD) is proposed. The inverse problem of derivation of symmetrical images from CRDCD mathematical models was formulated and solved using a special type of genetic algorithm. Different symmetrical images corresponding to the solutions of a CRDCD mathematical model for which the parameters were obtained automatically by the proposed method are presented.

Geo-information system of tuberculosis spread based on inversion and prediction

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Sergey Kabanikhin ◽  
Olga Krivorotko ◽  
Aliya Takuadina ◽  
Darya Andornaya ◽  
Shuhua Zhang
Keyword(s):  
Genetic Algorithm ◽  
Mathematical Model ◽  
Inverse Problem ◽  
Optimization Approach ◽  
Epidemic Spread ◽  
System Of Differential Equations ◽  
Republic Of China ◽  
Additional Information ◽  
Special Software

AbstractThe monitoring, analysis and prediction of epidemic spread in the region require the construction of mathematical model, big data processing and visualization because the amount of population and the size of the region could be huge. One of the important steps is refinement of mathematical model, i.e. determination of initial data and coefficients of system of differential equations of epidemiologic processes using additional information. We analyze numerical method for solving inverse problem of epidemiology based on genetic algorithm and traditional optimization approach. Our algorithms are applied to analysis and prediction of epidemic situation in regions of Russian Federation, Republic of Kazakhstan and People’s Republic of China. Due to a great amount of data we use a special software ”Digital Earth” for visualization of epidemic.

A coupled model of partial differential equations for uranium ores heap leaching and its parameters identification

2016 ◽  
Vol 24 (1) ◽  
Author(s):  
Wen Zhang ◽  
Zhanxue Sun ◽  
Zewen Wang ◽  
Kangxiu Hu
Keyword(s):  
Mathematical Model ◽  
Inverse Problem ◽  
Mathematical Modelling ◽  
Chemical Reactions ◽  
Tikhonov Regularization ◽  
Coupled Model ◽  
Heap Leaching ◽  
Parameters Identification ◽  
Optimal Perturbation ◽  
Modelling Problem

AbstractIn this article, we consider a mathematical modelling problem in engineering of uranium ores heap leaching. Firstly, we deduce a mathematical model of uranium ores heap leaching by combining solute transportation equations with microbial chemical reactions. Secondly, an inverse problem, which is solved by the optimal perturbation method together with the Tikhonov regularization, is considered for identifying the parameters of the proposed mathematical model. Finally, numerical simulations are given for the forward problem and the inverse problem to show the pattern of uranium ores microbial heap leaching and verify the effectiveness of parameters identification, respectively.

scholarly journals Numerical Simulation Techniques Research and Application in Genetic Algorithm Design

2014 ◽  
Vol 8 (1) ◽  
pp. 63-68
Author(s):  
Yamian Peng ◽  
Chunfeng Liu ◽  
Dianxuan Gong
Keyword(s):  
Numerical Simulation ◽  
Genetic Algorithm ◽  
Inverse Problem ◽  
Computer Simulation ◽  
Parameter Identification ◽  
Algorithm Design ◽  
Global Optimum ◽  
Two Dimensional ◽  
Simulation Techniques ◽  
Numerical Calculation Method

Numerical simulation techniques are also called computer simulation, which take the computer as a means to study all kinds of engineering and physical problems even natural objective through numerical calculation method and image display. This paper studied the numerical simulation techniques and try to solve two-dimensional convectiondiffusion equation parameter identification inverse problem by the genetic algorithm. Firstly, the finite element method was illustrated to solve the steady problem of two-dimensional convection-diffusion equation before it compute parameter identification inverse problem each time. Subsequently, it can search the best approximate solution from many initial points and obtained the global optimum solution by means of crossover operator and mutation operator. Finally, the paper discussed the computer simulation of GA for solving the inverse problem, and puts forward a new method for solving inverse problem: Genetic algorithm based on the best disturbed iteration. The results of numerical simulation show that the genetic algorithm has the higher accuracy and the quicker convergent speed. And it is easy to program and calculate and is of great application.

Two Dimensional Unsteady State Mathematical Model for dispersion of Chlorine in Water in a Channel

2011 ◽  
Vol 3 (8) ◽  
pp. 503-505
Author(s):  
Jaipal Jaipal ◽  
◽  
Rakesh Chandra Bhadula ◽  
V. N Kala V. N Kala
Keyword(s):  
Mathematical Model ◽  
Two Dimensional ◽  
Unsteady State

A mathematical model and an algorithm for sampling sets of components on the Assembly enterprises of space technology

2018 ◽  
Vol 15 (1) ◽  
pp. 39-55
Author(s):  
V. B. Rudakov ◽  
V. M. Makarov ◽  
M. I. Makarov
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Space Technology ◽  
Economic Costs ◽  
Problem Statement ◽  
Optimal Plan ◽  
Product Mix ◽  
Technical Parameters ◽  
Complex Products ◽  
Assembly Plants

The article considers the problem of determining the rational plans of the input sampling reliability and technical parameters of components of space technology, the totality of which is supplied to the Assembly plants for the manufacture of complex products of space technology. Problem statement and mathematical model based on the minimization of the economic costs of control and losses related to the risks of taking wrong decisions, are given in the article. The properties of the mathematical models are investigated, the algorithm for its optimization is developed. The result is an optimal plan for the sampling of sets of components, which includes: an optimal product mix subject to mandatory control of the aggregate and optimum risks of first and second kind, when acceptance number of statistical plan is zero. The latter circumstance is due to the high requirements of reliability and technical parameters of products of space technology.

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