Qualitative analysis of solutions of parabolic type equations with nonlocal boundary conditions
Articles
Jurij Novickij
Vilniaus universitetas
Feliksas Ivanauskas
Vilniaus universitetas
Published 2010-12-21
https://doi.org/10.15388/LMR.2010.54
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Keywords

diffusion equation
diffusion–convection equation
nonlocal boundary conditions
finite difference method

How to Cite

Novickij J. and Ivanauskas F. (2010) “Qualitative analysis of solutions of parabolic type equations with nonlocal boundary conditions”, Lietuvos matematikos rinkinys, 51(proc. LMS), pp. 295–300. doi: 10.15388/LMR.2010.54.

Abstract

The aim of the work is qualitative analysis of solutions of parabolic equations, non–negativity of solutions, investigation and modelling of physical parameters. All tasks were modelled using numerical analysis methods. Differential equations were solved using implicit finite difference method. Derived results could be used solving one–dimensional tasks with parabolic type equations in physics, biochemistry, chemistry and other sciences.

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