- Tytuł:
- Numerical approximations of difference functional equations and applications
- Autorzy:
- Kamont, Z.
- Powiązania:
- https://bibliotekanauki.pl/articles/255105.pdf
- Data publikacji:
- 2005
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
functional differential equations
stability and convergence
interpolating operators
nonlinear estimates of Perron type - Opis:
- We give a theorem on the error estimate of approximate solutions for difference functional equations of the Volterra type. We apply this general result in the investigation of the stability of difference schemes generated by nonlinear first order partial differential functional equations and by parabolic problems. We show that all known results on difference methods for initial or initial boundary value problems can be obtained as particular cases of this general and simple result. We assume that the right hand sides of equations satisfy nonlinear estimates of the Perron type with respect to functional variables.
- Źródło:
-
Opuscula Mathematica; 2005, 25, 1; 109-130
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł