1
RUDN mathematicians have created a software package for solving nonlinear differential equations

RUDN mathematicians have created a software package for solving nonlinear differential equations

RUDN mathematicians have created a universal package of computer programs for the study and solution of complex nonlinear differential equations and their systems. The development will be useful for hydrodynamics, gas dynamics, mechanics, elementary particle physics, plasma physics and elasticity theory. The article was published in the journal Computer Physics Communications.

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.
 

Scientific Conferences View all
03 Nov 2017
RUDN University organized the first 5G Summit R&D Russia on June 19 - 20, 2017
1787
Visiting Professors View all
03 Nov 2017
Michele Pagano is a graduate of the University of Pisa, a leading scientist, the author of more than 200 publications in international journals, and a participant in many international research projects
2575
Similar newsletter View all
07 Jul
RUDN University Biologist: salted water saves fish from stress when transporting

RUDN University biologist with colleagues from Brazil and Iran found how to alleviate the stress of fish during transportation. It turned out that this can be achieved with salted water.

63
20 Apr
RUDN University agronomists increased wheat yield by 65%

RUDN University agronomists have proposed a new scheme for fertilizing winter wheat, which allows increasing the yield by 68%. The key to this is in the combination of nitrogen and growth regulators.

125
20 Apr
RUDN Biologists Study Live Microorganisms in Toxic Liquids for Metalworking

RUDN biologists have studied microorganisms that can survive in metalworking fluids. The results will allow “picking up” bacteria and fungi that can process toxic waste fluids into a harmless product.

119
Similar newsletter View all