- Tytuł:
- The Cartan-Monge geometric approach to the generalized characteristics method and its application to the heat equation Ut - Uxx = 0
- Autorzy:
-
Golenia, J.
Prykarpatsky, Y. A.
Wachnicki, E. - Powiązania:
- https://bibliotekanauki.pl/articles/255525.pdf
- Data publikacji:
- 2009
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
characteristics method
heat equation - Opis:
- The generalized Cartan-Monge type approach to the characteristics method is discussed from the geometric point of view. Its application to the classical one-dimensional linear heat equation Ut - uxx = 0 is presented. It is shown that the corresponding exact solution of the Cauchy problem can be represented in a classical functional-analytic Gauss type form.
- Źródło:
-
Opuscula Mathematica; 2009, 29, 1; 27-39
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł