Article 15316

Title of the article

ANALYZING THE METHODS OF INCREASING APPROXIMATION PRECISION AND
THE REVISED MODEL OF INCREASING APPROXIMATION PRECISION

Authors

Petryanin Dmitriy L'vovich, postgraduate student, Penza State University (440026, 40 Krasnaya street, Penza, Russia), ra4cbh@mail.ru

Index UDK

004.021, 519.651, 519.654

DOI

10.21685/2307-4205-2016-3-15

Abstract

Background. The challenge now is a hot topic of approximation of solutions to various technical studies. The aim is to find approximations of the models with the greatest possible precision and low error. The necessity of the development of effective methods for the analysis of experimental curves and constructing approximation models.
Materials and methods. The analysis of the common methods of increasing the accuracy of approximation. For example, the approximation made settlement (least squares method) with finding a model of experimental data. Then, the previously developed model increasing accuracy of approximation re made payment. Given the above analysis was derived refined model increasing accuracy of approximation. According to the resulting model made a search for a new model of the experimental data. calculation errors also made all found models of experimental data as a whole and at each point of input data. All calculation results tabulated.
Results. It is proved that the developed refined mathematical model of increasing approximation accuracy has improved the accuracy of the output model of experimental data as a whole 1,34 %, and in some points of the experimental data up to 10 %.
Conclusions. The use of the approximation model allows to evaluate the results of research and technical systems to obtain results more close to the original data.

Key words

approximation, the data, model, accuracy, error.

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Дата создания: 28.09.2016 15:22
Дата обновления: 29.09.2016 15:41