MATHEMATICAL MODELLING OF THE ANALYTICAL AND NUMERICAL SOLUTION OF NON-STATIONARY INITIAL-VALUE PROBLEMS BY MAPLE SOFTWARE.

Authors

  • Iļja Sučkovs Rezekne Academy of Technologies (LV)
  • Aleksandrs Pikurs Rezekne Academy of Technologies (LV)
  • Ilmārs Kangro Rezekne Academy of Technologies (LV)

DOI:

https://doi.org/10.17770/het2019.23.4398

Keywords:

differential equation, initial value problem, Maple software, mathematical modeling, analitical and numerical solution

Abstract

With the passage of time and the development of technology, humanity is exploring new unknown problems that require complex analytical and numerical mathematical solutions. Due to their complexity differential equations are often used for this purpose. The aim of this work is to solve mathematical models of initial value problems of ordinary differential equations using the analitical method and numerical solution using MAPLE software. Also authors have provided general information about differential equations and diferent ways how they can be solved. As a result have been created two mathematical models which describe process of Determination of the cooling time of a shot animal and decomposition of the radioactive substance. Similar methods are also used to determine the age of objects as well

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References

Šteiners, K. Augstākā matemātika.-IV : lekciju konspekts inženierzinātņu un dabaszinātņu studentiem.- Rīga : Zvaigzne ABC, 1999. 98-125 lpp.

Augstākā matemātika, statistika un matemātiskā modelēšana inženierzinātņu studentiem : mācību līdzeklis / Rēzeknes Augstskola. Inženieru fakultāte; Pēteris Daugulis, Ilmārs Kangro, Andris Martinovs, Ilga Morozova. Rēzekne : RA Izdevniecība, 2008. - 655 lpp.

Kalis, H. Skaitliskās metodes.- Rīga, 2008. -185 lpp

Andre Hesck Introduction to Maple Third Edition : Waterloo Maple, LLC USA 2003.

William E. Boyce, Richard C. DiPrima Elementary Differential equations and boundary value problems Fourth edition : John Wiley and Sons, Inc. USA 1986.

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Published

2019-04-24

Issue

No. 23 (2019): Human. Environment. Technology

Section

Information Technologies

How to Cite

[1]
I. Sučkovs, A. Pikurs, and I. Kangro, “MATHEMATICAL MODELLING OF THE ANALYTICAL AND NUMERICAL SOLUTION OF NON-STATIONARY INITIAL-VALUE PROBLEMS BY MAPLE SOFTWARE”., HET, no. 23, pp. 87–93, Apr. 2019, doi: 10.17770/het2019.23.4398.