20.500.12556/RUL-72322 Pseudospectral methods for boundary value problems Reševanje robnih problemov s psevdospektralnimi metodami diplomsko delo The purpose of this thesis is to study pseudospectral methods and to implement the algorithm that solves two point boundary value problems by pseudospectral methods. Another purpose of this thesis is to implement that algorithm into an application for solving two point boundary value problems. The rst part of the thesis presents theoretical concepts needed to understand the pseudospectral methods such as: dierential equations, boundary value problems and few more. This is followed by the theoretical idea of pseudospectral methods and algorithm in theory. The last part consists of practical implementation and explanation of how application works followed by few examples. Namen diplomske naloge je preučiti psevdospektralne metode in implementirati algoritem za reševanje dvotočkovnih robnih problemov. Drugi cilj diplomske naloge je implementirati ta algoritem v okviru aplikacije, ki deluje za celo množico robnih problemov v dveh točkah z uporabo programskega jezika Python. Najprej je postavljena teoretična baza: uvod v diferencialne enačbe, robni problemi ter še nekoliko konceptov potrebnih za razumevanje psevdospektralnih metod. Potem je predstavljena teoretična ideja psevdospektralnih metod in teoretičen način implementacije algoritma ter na koncu praktična realizacija in predstavitev spletne aplikacije za reševanje robnih problemov v dveh točkah. pseudospectral methods boundary value problem Python psevdospektralne metode robni problemi Python true false false [R. Vjeran] Angleški jezik Slovenski jezik Diplomsko delo/naloga 2015-09-11 18:50:06 2015-09-11 18:50:06 2024-07-31 11:01:40 0000-00-00 00:00:00 2015 0 0 39 str. 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 15890 1536644803 Rada_Vjeran_-_Resevanje_robnih_problemov_s_psevdospektralnimi_metodami.pdf Rada_Vjeran_-_Resevanje_robnih_problemov_s_psevdospektralnimi_metodami.pdf 1 52F91F3ECA092FCD8A485F207F440B2B f7ef0f0b69d310b221eb0fc228fc28628359187366e72e0ab4a3457fbb2981d7 59ba248a-a1ad-11eb-a523-00155dcfd717 20.500.12556/rul/4b56fa23-27d1-498c-bf51-4790def07326 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=72362 Fakulteta za računalništvo in informatiko 0 0 0