Computational Mathematics

Computational experiments for one class of mathematical models in thermodynamics and hydrodynamics

J. K. T. Al-Isawi

South Ural State University, Chelyabinsk, Russian Federation

Abstract: The article contains the results of computational experiments for the Dzeczer mathematical model and the generalized Fisher – Kolmogorov mathematical model. Information on the solvability of the studied models is given. We describe both an algorithm to find an approximate solution of mathematical models of thermodynamics and hydrodynamics, and implementation of the algorithm as a program in the computer mathematics system Maple. The results of computational experiments for the studied models are presented.

Keywords: evolution equation, Dzektser mathematical model, generalized Fisher – Kolmogorov mathematical model, numerical solution, projection method.

UDC: 517.9

MSC: 35G05

Received: 27.02.2017

Language: English

DOI: 10.14529/jcem170102

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