Models in the form of ordinary differential equations traditionally have a wide range of applications.These models are widely applicable, including various mechanical systems, control systems, moving objects, and so on.Integro-differential models of dynamic systems occupy an intermediate position between differential and integral models.Their analysis remains an under-researched area of mathematical modeling.Thus, identifying classes of problems effectively solved using integro-differential equations, methods for generating nonlinear integro-differential dynamic models, and their numerical implementation remain poorly understood.As system dynamics problems become more complex and the class of dynamic objects studied expands, the need for further development and refinement of mathematical modeling methods becomes evident.Given this, it is often necessary and useful to employ integro-differential equations as models equivalent to other possible types of models.Integro-differential equations enable the use of a wide variety of numerical model implementation methods, both for adapting algorithms to a narrow class of problems and for increasing the model's generality.Algorithms for implementing direct and iterative numerical methods for modeling heterogeneous dynamic systems described by integro-differential equations are presented.
| Jurnal | ТАТУ хабарлари |
|---|---|
| Nashriyot | Тошкент ахборот технологиялари университети |
| ISSN | 2010-9857, 2181-1083 |
| Nashr sanasi | 2025-12-01 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| DOI | 10.61663/253stuitmct1 |
| Indeksga qo‘shilgan | 2026-09-02 |
DOI: 10.61663/253stuitmct1 · Maqolaning asl sahifasi
| APA | Noma’lum muallif (2025). Modeling inhomogeneous dynamic systems described by integral-differential equations. ТАТУ хабарлари. https://doi.org/10.61663/253stuitmct1 |
|---|---|
| GOST (OAK) | Noma’lum muallif Modeling inhomogeneous dynamic systems described by integral-differential equations // ТАТУ хабарлари. – 2025. – DOI: 10.61663/253stuitmct1. |
| MLA | Noma’lum muallif. “Modeling inhomogeneous dynamic systems described by integral-differential equations.” ТАТУ хабарлари, 2025. https://doi.org/10.61663/253stuitmct1 |
| Chicago | Noma’lum muallif. “Modeling inhomogeneous dynamic systems described by integral-differential equations.” ТАТУ хабарлари (2025). https://doi.org/10.61663/253stuitmct1 |
| Harvard | Noma’lum muallif (2025) ‘Modeling inhomogeneous dynamic systems described by integral-differential equations’, ТАТУ хабарлари. https://doi.org/10.61663/253stuitmct1 |
| BibTeX | @article{article2025,
title = {Modeling inhomogeneous dynamic systems described by integral-differential equations},
author = {Unknown},
journal = {ТАТУ хабарлари},
year = {2025},
doi = {10.61663/253stuitmct1},
url = {https://doi.org/10.61663/253stuitmct1}
} |
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