| Metody resheniya zadach teorii anomal'noy diffuzii Contributor(s): Ivashchenko Dmitriy (Author) |
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ISBN: 3659269387 ISBN-13: 9783659269387 Publisher: LAP Lambert Academic Publishing OUR PRICE: $56.33 Product Type: Paperback Language: Russian Published: March 2014 |
| Additional Information |
| BISAC Categories: - Mathematics |
| Physical Information: 0.23" H x 6" W x 9" (0.33 lbs) 96 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: V rabote rassmatrivayutsya analiticheskie i chislennye metody resheniya pryamykh i obratnykh zadach dlya uravneniya anomal'noy diffuzii - differentsial'nogo uravneniya s proizvodnoy drobnogo poryadka po vremeni, opisyvayushchego protsessy perenosa v sredakh s vremennoy dispersiey i uchityvayushchego voznikayushchie tam effekty pamyati i nelokal'nosti. Predlozheny novye postanovki obratnykh zadach, zaklyuchayushchiesya v opredelenii obobshchennogo koeffitsienta diffuzii i pokazatelya anomal'noy diffuzii. V ryade prostykh sluchaev resheniya obratnykh zadach polucheny v vide tochnykh analiticheskikh formul, a v obshchem sluchae predstavleno integral'noe sootnoshenie, svyazyvayushchee resheniya obratnykh zadach dlya uravneniya anomal'noy diffuzii s resheniyami obratnykh zadach dlya giperbolicheskogo uravneniya, chto pozvolyaet perenesti mnogie rezul'taty klassicheskoy teorii obratnykh zadach na uravneniya s drobnoy proizvodnoy po vremeni. Dlya chislennogo resheniya uravneniya anomal'noy diffuzii na osnove integro-interpolyatsionnogo metoda postroena konechno-raznostnaya skhema s vesami i razrabotan obobshchennyy metod progonki. Polucheny ravnomernye otsenki resheniya, issledovana ustoychivost' raznostnoy skhemy s vesami i uslovie ustoychivosti predstavleno v yavnom vide. |