Implicit difference schemes for quasilinear parabolic functional equations

• Autorzy: Matusik M.
• Języki publikacji: EN

Abstrakty

EN

We present a new class of numerical methods for quasilinear parabolic functional differential equations with initial boundary conditions of the Robin type. The numerical methods are difference schemes which are implicit with respect to time variable. We give a complete convergence analysis for the methods and we show that the new methods are considerable better than the explicit schemes. The proof of the stability is based on a comparison technique with nonlinear estimates of the Perron type for given functions with respect to functional variables. Results obtained in the paper can be applied to differential equations with deviated variables and to differential integral problems.

Słowa kluczowe

EN

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

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2012
• Tom: Vol. 45, nr 4
• Strony: 869--886
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Matusik M.

• Institute Of Mathematics University Of Gdańsk Wit Stwosz Street 57 80 952 Gdańsk, Poland,

Bibliografia

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