Mathematical Models and their Solutions for Domains of Compex Form

6533b7cffe1ef96bd125939e

RESEARCH PRODUCT

Mathematical Models and their Solutions for Domains of Compex Form

Tabita Bobinska

subject

galīgo diferenču metode L-shape sample willow flute Mathematical modelling Matemātiskā modelēšana konservatīvā viduvēšana vītola flauta heat conduction equations sistēmas ar dubultsieniņu un dubultribu L-veida apgabals Green’s function method of separation of variables double wall with double fins siltuma vadīšanas vienādojumi Grīna funkcija mainīgo atdalīšanas metode Matemātika wave equation viļņu vienādojums conservative averaging Mathematics finite difference method

description

Promocijas darbā tiek apskatīti dažādi oriģināli modeļi un to risinājumi sarežģītas formas apgabaliem. Intensīvās tērauda rūdīšanas procesi sistēmām ar ribām tiek aprakstīti ar 3D hiperbolisko, kā arī ar klasisko siltuma vadīšanas vienādojumu. Precīzā atrisinājuma iegūšanai izmantota Grīna funkciju metode un tās vispārinājums. Modernajos datoros sastopamajām sistēmām ar dubulsieniņu un dubultribu dota stacionārā un nestacionārā siltumvadīšanas problēma 2D gadījumā. Tās risinājums tiek iegūts ar konservatīvās viduvēšanas metodi, galīgo diferenču metodi un tās modifikāciju robežnosacījumiem. Piedāvāts jauns matemātiskais modelis vītola flautai, problēmas formulējumā izmantojot 1D lineāru viļņu vienādojumu ar avota funkciju un 3.veida robežnosacījumiem.

year	journal	country	edition	language
2014-01-01

https://dspace.lu.lv/dspace/handle/7/4927

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