Nelineāro siltuma transporta problēmas daudzslāņu vidē redukcija uz Košī problēmu parastajos diferenciālvienādojumos

6533b858fe1ef96bd12b6788

RESEARCH PRODUCT

Nelineāro siltuma transporta problēmas daudzslāņu vidē redukcija uz Košī problēmu parastajos diferenciālvienādojumos

Aigars Gedroics

subject

description

Šajā darbā tiek apskatīta viendimensionālas nelineāras daudzslāņu siltumvadīšanas problēmas tuvinātā atrisinājuma iegūšanas metode. Izmantojot galīgo tilpumu metodi, problēma tiek reducēta uz Košī problēmu parastajos diferenciālvienādojumos. Līdzīgs rezultāts tiek arī iegūts, izmantojot robeželementu metodi, kas pieļauj iegūt tuvināto atrisinājumu ne tikai slāņu robežpunktos, bet arī visā apgabalā. Iegūtajā shēmā esošās integrāļu izteiksmes aproksimē, izmantojot kvadratūru formulas. Problēma tiek apskatīta tikai Dekarta koordināšu sistēmā. Iegūtā metode tiek praktiski pārbaudīta, izveidojot šīs metodes algoritmu programmu paketē Mathematica. Ar šo algoritmu tiek apskatīti daži piemēri, kuriem, iespēju robežās, tiek atrasti tuvinātie atrisinājumi, izmantojot iebūvētās Mathematica parciālo diferenciālvienādojumu skaitliskās metodes.

year	journal	country	edition	language
2008-01-01

https://dspace.lu.lv/dspace/handle/7/17811

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