Comparison of explicit and implicit difference methods for quasilinear functional differential equations

• Autorzy: W. Czernous , Z. Kamont
• Języki publikacji: EN

Abstrakty

EN

We give a theorem on error estimates of approximate solutions for explicit and implicit difference functional equations with unknown functions of several variables. We apply this general result to investigate the stability of difference methods for quasilinear functional differential equations with initial boundary condition of Dirichlet type. We consider first order partial functional differential equations and parabolic functional differential problems. We compare the properties of explicit and implicit difference methods.
We use a comparison technique with nonlinear estimates of Perron type for given functions with respect to the functional variables.:wn

Kategorie tematyczne

• 35R10: Partial functional-differential equations
• 65M12: Stability and convergence of numerical methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2011
• Tom: 38
• Numer: 3
• Strony: 315-340

Daty

wydano

2011

Twórcy

autor

W. Czernous

• Institute of Mathematics, University of Gdańsk, Wit Stwosz St. 57, 80-952 Gdańsk, Poland

autor

Z. Kamont

• Institute of Mathematics, University of Gdańsk, Wit Stwosz St. 57, 80-952 Gdańsk, Poland

Identyfikatory

DOI

10.4064/am38-3-4