An approach to solving real-life problems using normal distribution. Approximation of results using the Lagrange-Euler method


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Authors

  • Shkelqim Hajrulla Epoka University
  • Taylan Demir Çankaya University
  • Vasil Lino Epoka University
  • Loubna Ali University of Tartous

Keywords:

Normal Distribution, Real Life, Time Charging, Lagrange Equation, Approximation

Abstract

We deal with the normal distribution as an overview of real-life problems. Our paper focuses on
analyzing the normal distribution and its special cases by solving real-life problems and examining them
through detailed calculations and graphs. Several research papers have reported that the normal distribution
of a random variable has an enormous contribution in analyzing and comparing the data with each other,
making the process easier for other methods in real-life applications. Using numerical methods, we get the
approximations and the error during the different cases.
In this research paper, we will discuss how the Euler equation will be used to solve the same problem in a
more efficient way. The Euler method is used during the approximation process and with some widely
studied models, including the standard formulas for each method, simulations, and graphs.

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Author Biographies

Shkelqim Hajrulla, Epoka University

Computer Engineering Department, Tirana, Albania

Taylan Demir, Çankaya University

Department of Mathematics, Ankara, Turkey

Vasil Lino, Epoka University

Department of Economics, Tirana, Albania

Loubna Ali, University of Tartous

Department of Information Technology, Tartous, Syria

References

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Higher Order Wave Equation with Logarithmic Source Term S Hajrulla, L Bezati, F Hoxha - 2017

A Statistical Method to Estimate An Unkonown Price in Financial Markets, S Hajrulla, D Osmani, V Lino, D Avdiu, D Hajrulla - PROCEEDINGS BOOK, 2022

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Simulations and Results for the Heat Transfer Problem S Hajrulla, A Uka, T Demir - European Journal of Engineering Science and …, 2023

Local Fractional Differential Operators on Heat Transfer Modelling, T Demir, MH Cherif, S Hajrulla, G Erikçi

Bhowmik, M. Constructivism Approach in Mathematics Teaching and Assessment of Mathematical Understanding. Basic Research Journal of Education Research and Review ISSN 2315-6872 Vol 4(1) pp 08- 12 January 2015.

Exponential Decay of Solutions for a Higher Order Wave Equation with Logarithmic Source Term, E Pişkin, T Uysal, S Hajrulla - 2018

Unimodular matrix on shallow water wave theory. Unimodularity through matrix method S Hajrulla, A Uka, T Demir, F Hoxha, D Hajrulla… - New Trends in Mathematical Sciences, 2022

Numerical Methods and Approximations for the Heat Transfer Problem, S Hajrulla, A Uka, L Ali, T Demir - Proceedings of The International Conference on …, 2022

Lognormal distribution of Toxocara canis (n/e/g/f) at the street dogs. A Bocari, B Bizhga, R Kosova, N Mehmett - Albanian Journal of Agricultural Sciences, 2014

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Published

2024-10-13

How to Cite

Hajrulla, S., Demir, T., Lino, V., & Ali, L. (2024). An approach to solving real-life problems using normal distribution. Approximation of results using the Lagrange-Euler method . International Journal of Advanced Natural Sciences and Engineering Researches, 7(10), 18–25. Retrieved from https://as-proceeding.com/index.php/ijanser/article/view/2057

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