- Tytuł:
- A finite difference method for quasi-linear and nonlinear differential functional parabolic equations with Neumann’s condition
- Autorzy:
- Sapa, Lucjan
- Powiązania:
- https://bibliotekanauki.pl/articles/962640.pdf
- Data publikacji:
- 2009
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
parabolic differential functional equations
difference methods
nonlinear estimates of the generalized Perron type - Opis:
- Classical solutions of nonlinear second-order partial differential functional equations of parabolic type with Neumann’s condition are approximated in the paper by solutions of associated explicit difference functional equations. The functional dependence is of the Volterra type. Nonlinear estimates of the generalized Perron type for given functions are assumed. The convergence and stability results are proved with the use of the comparison technique. These theorems in particular cover quasi-linear equations, but such equations are also treated separately. The known results on similar difference methods can be obtained as particular cases of our simple result.
- Źródło:
-
Commentationes Mathematicae; 2009, 49, 1; 83-106
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł