RUDN mathematicians have created a software package for solving nonlinear differential equations
Many processes in physics are mathematically described by partial differential equations — for example, string vibrations or heat transfer from one part of a solid to another. RUDN mathematicians have created a package of tools for the analysis of such equations and their systems. Previously, triangular decomposition methods were used to solve such differential equations: a complex equation was sequentially divided into simpler parts. The authors took a different approach - the Thomas decomposition method. During the tests, he showed superiority over previously used methods.
RUDN mathematicians also gave examples of application of the software package in practice by solving the Navier-Stokes and Burgers equations for an incompressible fluid that underlies hydrodynamics
The software of RUDN mathematicians will expand the base of existing algorithms and simplify the work of specialists in physics, physical chemistry and information technology. The created tool package will help to find solutions of differential equations and their systems faster and with greater accuracy compared to previously existing methods.
The RUDN University Science and Innovation Prize winners were honoured at the extended meeting of the Academic Council. In 2024 the terms of the traditional RUDN University Prize were changed: for the first time the competition was announced in two categories: leading scientists and young scientists.
According to the International Energy Agency (IEA), electricity consumption in Africa has increased by more than 100% over the past two years (2020-2022). However, 74.9% of this energy is still produced by burning organic fuels 鈥� natural gas, coal and oil. At the same time, the level of electrification on the continent remains extremely low 鈥� only 24%, while in other developing countries it reaches 40%. Even in grid-connected areas, electricity supply is often unreliable: industrial enterprises lose energy on an average of 56 days a year.
Today, diagnosis and treatment planning with orthodontists takes several days. Also, complications can arise during treatment that slow down the patient's recovery process. For example, improper orthodontic treatment planning can lead to temporomandibular joint dysfunction.
The RUDN University Science and Innovation Prize winners were honoured at the extended meeting of the Academic Council. In 2024 the terms of the traditional RUDN University Prize were changed: for the first time the competition was announced in two categories: leading scientists and young scientists.
According to the International Energy Agency (IEA), electricity consumption in Africa has increased by more than 100% over the past two years (2020-2022). However, 74.9% of this energy is still produced by burning organic fuels 鈥� natural gas, coal and oil. At the same time, the level of electrification on the continent remains extremely low 鈥� only 24%, while in other developing countries it reaches 40%. Even in grid-connected areas, electricity supply is often unreliable: industrial enterprises lose energy on an average of 56 days a year.
Today, diagnosis and treatment planning with orthodontists takes several days. Also, complications can arise during treatment that slow down the patient's recovery process. For example, improper orthodontic treatment planning can lead to temporomandibular joint dysfunction.