ECONOMICS IN MATHEMATICAL MODELING

Authors

  • X. N. Yuldashev University Of Science And Technologies
  • J. M. Toshtemirov University Of Science And Technologie

Abstract

This article provides a brief overview of what the mathematical modeling and the 
mathematical models are and how the mathematical models are classified depending on 
various features they can be characterized with. The article is in no way a comprehensive 
guide of the topic since there are a big number of ways mathematical models can be 
classified in, but rather an introductory explanation of the extremely broad area of 
mathematical modelling. The material of the article is heavily influenced by the book [1].

References

1. Toshtemirov, J., Haydarov, A., Begulov, U., & Djabbarov, O. (2025, September). Modeling multi-component heat transfer processes in multi-dimensional domains. In AIP Conference Proceedings (Vol. 3356, No. 1, p. 020008). AIP Publishing LLC.

2. Begulov, U., Khaydarov, A., Toshtemirov, J., & Abduraimov, O. (2025, September). Tо study the global solution of doubly nonlinear heat dissipation equation. In AIP Conference Proceedings (Vol. 3356, No. 1, p. 040009). AIP Publishing LLC.

3. J. M. Toshtemirov, "Effects of a multicomponent heat source on ambient density in

multidimensional fields," ILM SARCHASHMALARI, 33-350, 2-son (fevral 2025).

4. J. M. Toshtemirov, " A mathematical model for convective and nonlinear heat transfer in multi-variable, multi-component media" ILM SARCHASHMALARI, 48-250, 5/2-son (may 2025).

5. A.T. Khaidarov and J.M. Toshtemirov. Modeling of heat propagation processes in multidimensional domains. Modern Probl. of Appl. Math. and Inform. Techn. – AlKhwarizmi, Tashkent, 2024, pp. 60-61.

6. A.T. Khaidarov and J.M. Toshtemirov. Heat source density in non-linear heat dissipation processes. Proceedings of Scientific Conference on Multidisciplinary Studies, Russia, 2023, pp. 72–80.

7. A.Mamatov and J.Toshtemirov. Visualization of the problem of multidimensional heat transfer through digital technologies. Pedagogical reforms and their solutions, Tashkent, 2024, pp. 44–47.

8. U. U. Begulov, Kh. Abdugappor, J. M. Toshtemirov, "Cauchy problem for a parabolic equation describing the heat propagation process in a non-divergent form under the influence of an exponentially varying density," Matematik fizikaning zamonaviy usullari, 2025.

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Published

2025-12-27

How to Cite

ECONOMICS IN MATHEMATICAL MODELING . (2025). SYNAPSES: INSIGHTS ACROSS THE DISCIPLINES, 2(12), 472-479. https://universalpublishings.com/index.php/siad/article/view/15750