Zobrazeno 1 - 10
of 169
pro vyhledávání: '"István Faragó"'
Publikováno v:
Mathematical Modelling and Analysis, Vol 28, Iss 1 (2023)
The consistency of the classical Richardson extrapolation (CRE), a simple and robust computational device, is analysed for the case where the underlying method is an explicit one-step numerical method for ordinary differential equations with order of
Externí odkaz:
https://doaj.org/article/1bf13904afcc463eb2241a1e458ede35
Publikováno v:
Axioms, Vol 12, Iss 4, p 323 (2023)
This article considers heat transfer in a solid body with temperature-dependent thermal conductivity that is in contact with a tank filled with liquid. The liquid in the tank is heated by hot liquid entering the tank through a pipe. Liquid at a lower
Externí odkaz:
https://doaj.org/article/8cbfb0321eb84987a916bbe34ad2d3c5
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2018, Iss 48, Pp 1-19 (2018)
Geometric integrators are numerical methods for differential equations that preserve geometric properties. In this article we investigate the questions of constructing such methods for the well-known Lotka–Volterra predator-prey system by using the
Externí odkaz:
https://doaj.org/article/de4f1c6b560144e79173cfc8364cd96e
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 84, Pp 1-11 (2016)
A number of theories have been constructed to explain the ecological collapse of the Easter Island. Basener and his co-authors proposed a mathematical model in the form of a system of ordinary differential equations. This system describes the change
Externí odkaz:
https://doaj.org/article/5631a170f7dd4e95886f8a0893b1b12e
Autor:
István Faragó, Róbert Horváth
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 12, Pp 1-14 (2016)
The aim of this paper is the investigation of some discrete iterative models that can be used for modeling spatial disease propagation. In our model, we take into account the spatial inhomogenity of the densities of the susceptible, infected and reco
Externí odkaz:
https://doaj.org/article/a200ef756d234c1b85c63fe08567e90b
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2012, Iss 6, Pp 1-22 (2012)
In this paper we investigate the numerical solution of non-linear equations in an abstract (Banach space) setting. The main result is that the convergence can be guaranteed by two, directly checkable conditions (namely, by the consistency and the sta
Externí odkaz:
https://doaj.org/article/1e248916a732416e91ec1ed73ff7762d
Publikováno v:
Atmosphere, Vol 2, Iss 3, Pp 201-221 (2011)
The influence of future climatic changes on some high pollution levels that can cause damage to plants and human beings is studied in this paper. The particular area of interest is Hungary and its surrounding countries. Three important quantities, wh
Externí odkaz:
https://doaj.org/article/53c5d164485e48328de2a26be337e19b
Autor:
István Faragó, Róbert Horváth
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2007, Iss 8, Pp 1-15 (2008)
When we construct mathematical or numerical models in order to solve a real-life problem, it is important to preserve the characteristic properties of the original process. The models have to possess the equivalents of these properties. Parabolic par
Externí odkaz:
https://doaj.org/article/9d9bcaa432ba4a9a99d5db0ccf005aea
Autor:
Zahari Zlatev, Ivan Dimov, István Faragó, Krassimir Georgiev, Ágnes Havasi, Tzvetan Ostromsky
Publikováno v:
International Journal of Differential Equations, Vol 2011 (2011)
Advection equations appear often in large-scale mathematical models arising in many fields of science and engineering. The Crank-Nicolson scheme can successfully be used in the numerical treatment of such equations. The accuracy of the numerical solu
Externí odkaz:
https://doaj.org/article/7e3e9100742a46669af75725fbc6dee8
Scientists and engineers are mainly using Richardson extrapolation as a computational tool for increasing the accuracy of various numerical algorithms for the treatment of systems of ordinary and partial differential equations and for improving the c