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Metody Resheniya Zadach Teorii Anomal'noy Diffuzii Dmitriy Ivashchenko Russian edition
Metody Resheniya Zadach Teorii Anomal'noy Diffuzii
Dmitriy Ivashchenko
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.
| Media | Books Paperback Book (Book with soft cover and glued back) |
| Released | March 11, 2014 |
| ISBN13 | 9783659269387 |
| Publishers | LAP LAMBERT Academic Publishing |
| Pages | 96 |
| Dimensions | 152 × 229 × 6 mm · 161 g |
| Language | German |
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