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Abstract
The approximations of some heat transport problem in a thin plate are based on the finite volume and conservative averaging methods [1,2]. These procedures allow one to reduce the two dimensional heat transport problem described by a partial differential equation to an initial‐value problem for a system of two ordinary differential equations (ODEs) of the first order or to an initial‐value problem for one ordinary differential equations of the first order with one algebraic equation. Solution of the corresponding problems is obtained by using MAPLE routines “gear”, “mgear” and “lsode”.
Šilumos laidumo uždavinio plonoje plokšteleje aproksimacija pagrista baigtiniu tūriu ir konservatyviuoju vidurkinimo metodu. Šie metodai leidžia dvimati šilumos laidumo uždavini, aprašoma dalinemis išvestinemis, suvesti i dvieju pirmos eiles paprastuju diferencialiniu lygčiu sistema arba i viena pirmos eiles paprastaja diferencialine lygti su papildoma algebrine lygtimi. Atitinkami parastuju diferencialiniu lygčiu sprendiniai randami naudojant MAPLE paketa.