Algorithms and mathematical modeling

Department professors:

• Mamadaliyev Khusniddin Abduzhalilovich - head of the department
• Mirzaev Anvar Nazirovich - Associate Professor
• Sabirov Karimjon Kabildzhanovich - Associate Professor
• Tashtemirova Nadira Nematillaevna - Associate Professor
• Alikulov Yolkin Kodirovich - Senior Lecturer
• Narmanov Otabek Abdigapparovich - Senior Lecturer
• Nasriddinov Salohiddin Samariddinovich - Senior Lecturer
• Kuldoshev Khakim Murodillaevich - Senior Lecturer
• Asadov Kuvonchbek Urinovich - Senior Lecturer
• Ravshanov Shokhzhakhon Akmaljon ugli - assistant
• Murodillaeva Zulfiniso Hakimjon kizi - assistant
• Turgunov Abrorjon Makhamatsolievich - Associate Professor (internal part-time worker)
• Usmonov Alisher Khabibulla ugli - senior lecturer (internal part-time)
• Begimov Uktam Ibragimovich - senior teacher (internal part-time)
• Begimov Oybek Mamarasulovich - assistant (internal part-time worker)
• Kobulov Anvar Vosilovich - professor (external part-time)
• Khamdamov Muzaffar Muhiddinovich - Associate Professor (external part-time)

ACTIVITIES OF THE DEPARTMENT:

In order to increase students' interest in the subjects taught at the department, scientific circles were organized. Members of circles and talented students of the department participate in scientific conferences with their scientific articles. Professors and teachers of the department conduct their pedagogical and scientific activities together with educational work with young people.

As a result of the scientific activity of professors and teachers of the department, the scientific project "Creation and modeling of a topological model of gas networks" became the winner of the "Young Scientists" competition and was funded in the amount of 487,062,000 soums. Young specialists of our university, together with young scientists of the partner organization Institute of Seismic Resistance of Mechanics and Structures, developed a work plan and are implementing it at a high pace. The potential of the department is increasing every year due to the successful defense of their scientific works by professors and teachers.

List of state and foreign grants (fundamental, practical and innovative projects) implemented at the department:

IL-1150/22 - Creation and modeling of a topological model of gas networks (Project leader: head of the department Mamadaliyev Kh.A.)

Educational and methodical works published at the department:

• Textbook on the subject "Discrete Mathematics" 2021, "Alokachi";
• Textbook on the subject "Design of algorithms" 2022, TUIT "Alokachi";
• Mathematical models of the activity of the mechanisms of regulation of liver cells and hepatitis B viruses // Monograph, 2022, TATU "Alokachi";
• Guidelines for the implementation of practical and laboratory tasks in the subject "Design of algorithms" 2022, TUIT "Alokachi";
• Guidelines for organizing independent work in the discipline "Design of algorithms" in 2022, TATU "Alokachi";
• Guidelines for organizing independent work in the discipline "Design Algorithm" 2022, TATU "Alokachi";
• Guidelines for organizing independent work on the topic "Discrete structures" in 2022, TATU "Alokachi";
• System methodology for mathematical modeling of the process of mass transfer in the atmosphere / Monograph - Tashkent: Navruz, 2021. - 280 pages.

List of articles published by professors and scientific applicants of the department:

• Research of the elementary section of a gas pipeline under gas outflow from its end to the environment // 2021 International Conference on Information Science and Communications Technologies (ICISCT) | 978-1-6654-3258-0/21/$31.00 ©2021 IEEE | DOI: 10.1109/ICISCT52966.2021.9670225;
• Statistical analysis and forecast of the dynamics of cotton yield in the Namangan region of the republic of Uzbekistan, NVEO Natural Volaties/Essential Oils // Nat. Volatiles & Essent. Oils, 2021; 8(5): 12109-12115;
• Numerical calculation method of pipeline transport of low-compressible fluid //Advances in Mathematics: Scientific Journal 10 (2021), no.5, 2393–2408 ISSN: 1857-8365 (printed); 1857-8438 (electronic) https://doi.org/10.37418/amsj.10.5.8;
• Numerical method for solving the problem of the gas-dynamic state of a main gas pipeline section relief of a variable cross-sectional area // IOP Conference Series: Materials Science and Engineering, Pp.1-13;
• Statistical Analysis and Forecasting of Cotton Yield Dynamics in Namangan Region, Republic of Uzbekistan // Problems of Computational and Applied Mathematics Special Issue №6/1(37) 2021;
• Transparent relativistic quantum networks // 2021 International Conference on Information Science and Communications Technologies (ICISCT) | 978-1-6654-3258-0/21/$31.00 ©2021 IEEE | DOI: 10.1109 / ICISCT 52966.2021.9670289, - Tashkent, 2021. SCOPUS;
• Analogues of the cauchy-goursat problem for a loaded third-order hyperbolic type equation in an infinite three-dimensional domain// Сибирские Электронные математические известия, Том 18, №1 стр.72-85 (2021);
• Boundary value problem for loaded equation of parabolic-hyperbolic type of the third order in an infinite three-dimensional domain// International Journal of Applied Mathematics, Volume 34 No. 2 2021;
• Nonlocal nonlinear Schrödinger equation on metric graphs: A model for generation and transport of parity-time-symmetric nonlocal solitons in networks // Physical Review Ethis link is disabled, 2022, 105(5), 054205;
• Networks with point-like nonlinearities // Nanosystems: Physics, Chemistry, Mathematicsthis link is disabled, 2022, 13(1), стр. 30–35;
• Transparent boundary conditions for the sine-Gordon equation: Modeling the reflectionless propagation of kink solitons on a line
• Physics Letters, Section A: General, Atomic and Solid State Physicsthis link is disabled, 2022, 423, 127822;
• Dirac particles on periodic quantum graphs // Physical Review Ethis link is disabled, 2021, 104(1), 014219;
• Reflectionless propagation of Manakov solitons on a line: A model based on the concept of transparent boundary conditions // Physical Review Ethis link is disabled, 2021, 103(4), 043305;
• Analysis of different clinical forms of viral hepatitis B disease // International Conference on Information Science and Communications Technologies: Applications, Trends and Opportunities, ICISCT 2021, 2021;
• Research Solution of the Problem of Forming a Flat Structure of Finite Width from a High-Temperature Melt/// Annals of R.S.C.B., ISSN:1583-6258, Vol.25, Issue 6, 2021, Pages. 312-317;
• Some Invariant Solutions of Two Dimensional Heat Equation/// Montes Taurus Journal of Pure and Applied Mathematics. 3(3), 334-343, 2021;
• The role of physics in the study of nature and its role in development with other sciences/// International Journal of Engineering in Computer Science, 2021; 3(2): p.05-08;
• The role of mental arithmetic in the mental development of the pupil// International Journal of Academic Pedagogical Research(IJAPR), Vol.6 Issue 6, June-2022, Pages:149-153;
• Modeling theory of acquisition mode materials of high-strength flexible structures(SCOPUS)///International Journal of Mechanical Engineering// ISSN: 0974-5823////Vol. 6 No. 1 January-June, 2021;
• Calculation of the coefficients of optimal quadrature formulas in space $W^{2,1}_{2,sigma}$ Cite as: AIP Conference Proceedings 2365, 020034 (2021); https://doi.org/10.1063/5.0057196, Published Online: 16 July 2021;
• A computer model of processes of diffusion into the atmosphere due to salinization in the Arol region // PROBLEMS OF COMPUTATIONAL AND APPLIED MATHEMATICS T.- Special issue № 2/1(40) 2022, стр. 280-286;
• Software and instrumental complex for decision-making on environmental protection from technogenic factors // AIP Conference Proceedingsthis link is disabled, 2022, 2467, 060003
• Numerical Algorithm for Calculation the Density of Harmful Substances in the Atmosphere // International Conference on Information Science and Communications Technologies: Applications, Trends and Opportunities, ICISCT 2021.

Certificates received for created programs:

• The program for the numerical study of self-similar solutions of the quasilinear heat equation” // Intellectual Property Agency under the Ministry of Justice of the Republic of Uzbekistan. Certificate of official registration of the program created for electronic computers. No. DGU12730. Tashkent, 10/18/2021;
• Modeling of cavitation and pulsation processes in tanks//Intellectual Property Agency under the Ministry of Justice of the Republic of Uzbekistan No. DGU13684, 11/19/2021. DGU 20213718;
• The program for the numerical study of self-similar solutions of nonlinear equations /// Agency for Intellectual Property under the Ministry of Justice of the Republic of Uzbekistan No. DGU13659, 12/16/2021. DGU 20213605;
• The method of least squares in solving the approximation problem. Program for linear and quadratic models /// Intellectual Property Agency under the Ministry of Justice of the Republic of Uzbekistan No. DGU18355, 08/16/2022. DGU 20213605;
• "Electronic program for calculating certain integrals" // Intellectual Property Agency under the Ministry of Justice of the Republic of Uzbekistan No. DGU 12621 08/31/2021;
• “An application for solving mathematical and physical equations (Hyperbolic type equations)” // Intellectual Property Agency under the Ministry of Justice of the Republic of Uzbekistan, No. DGU 16894. Tashkent, 14.05.2022;
• "Aerosol_diffusion" // INTELLECTUAL PROPERTY AGENCY UNDER THE MINISTRY OF JUSTICE OF THE REPUBLIC OF UZBEKISTAN. Certificate of official registration of the program created for electronic computers. No. DGU 2022 0488. Tashkent, 02/07/2022.
• "GIS aerosol harmful monitoring" // INTELLECTUAL PROPERTY AGENCY UNDER THE MINISTRY OF JUSTICE OF THE REPUBLIC OF UZBEKISTAN. Certificate of official registration of the program created for electronic computers. No. DGU 20223038. Tashkent, 05/25/2022
• "GIS visualization" // INTELLECTUAL PROPERTY AGENCY UNDER THE MINISTRY OF JUSTICE OF THE REPUBLIC OF UZBEKISTAN. Certificate of official registration of the program created for electronic computers. No. DGU 20222933. Tashkent, 05/21/2022
• "GIS aerosol harmful monitoring" // INTELLECTUAL PROPERTY AGENCY UNDER THE MINISTRY OF JUSTICE OF THE REPUBLIC OF UZBEKISTAN. Certificate of official registration of the program created for electronic computers. No. DGU 20223038. Tashkent, 05/25/2022
• "GIS visualization" // INTELLECTUAL PROPERTY AGENCY UNDER THE MINISTRY OF JUSTICE OF THE REPUBLIC OF UZBEKISTAN. Certificate of official registration of the program created for electronic computers. No. DGU 20222933. Tashkent, 05.21.2022

Cooperation in the development of the department:

• National University of Uzbekistan named after Mirzo Ulugbek;
• Research Institute for the Development of Digital Technologies and Artificial Intelligence;
• Institute of Seismic Resistance of Mechanics and Structures named after M.T. Orozboev, FA RUz;
• Institute of Mathematics V.I. Romanovsky at the Academy of Sciences of the Republic of Uzbekistan.

The department is located on the 3rd floor of the main building A in rooms 308, 313, 314 and 316.