THE SOLUTION OF THE EQUATIONS APPLYING THE GENERAL SERIES OF FIBONACCI

Authors

  • Yevgeniy Tolbatov National Aviation University

DOI:

https://doi.org/10.18372/2306-1472.60.7567

Keywords:

boundary ratio, convergence of the series, equations, Fibonacci series, population, the index of change

Abstract

The effective method of solving equations using Fibonacci general series has been shown. The concept ofthe Fibonacci general series has been applied; the recurrence formula of the population volume change has beenobtained. We get the equation based on the recurrence formulas; the largest of this equation is the index of thepopulation volume change. There are some examples of the linear solving equations by means usage the Fibonaccigeneral series in the frame of Excel.

Author Biography

Yevgeniy Tolbatov, National Aviation University

Tolbatov Yevgeniy (1973). Candidate of Physico-Mathematical Sciences (2000). Associate Professor.Higher and Computational Mathematics Department, National Aviation University, Kyiv, Ukraine.Education: Mechanics and Mathematics Department, Kyiv National University named after Taras Shevchenko, Kyiv,Ukraine (1995).Research area: research of the vibrations study of curved rods.

References

http// ukr.wikipedia.org/Newton’s metod.

http// ru.wikipedia.org/Fibonacci numbers.

Volkov, Е. А. Numerical methods. Moscow, Fizmatlit. 2003 (in Russian).

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Published

01-10-2014

How to Cite

Tolbatov, Y. (2014). THE SOLUTION OF THE EQUATIONS APPLYING THE GENERAL SERIES OF FIBONACCI. Proceedings of National Aviation University, 60(3), 65–72. https://doi.org/10.18372/2306-1472.60.7567

Issue

Vol. 60 No. 3 (2014)

Section

INFORMATION TECHNOLOGY

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