A finite difference method for quasi-linear and nonlinear differential functional parabolic equations with Neumann's condition

• Autorzy: Sapa S.
• Języki publikacji: EN

Abstrakty

EN

Classical solutions of nonlinear second-order partial dierential functional equations of parabolic type with Neumann's condition are approximated in the paper by solutions of associated explicit dierence 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 dierence methods can be obtained as particular cases of our simple result.

Słowa kluczowe

EN

parabolic differential functional equations; nonlinear estimates of Perron type; difference methods

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2009
• Tom: Vol. 49, [Z] 1
• Strony: 83--106
• Opis fizyczny: Bibliogr. 29 poz., tab.

Twórcy

autor

Sapa S.

• Faculty of Applied Mathematics AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Kraków, Poland,

Bibliografia

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