Implicit difference methods for nonlinear first order partial functional differential systems

• Autorzy: Elżbieta Puźniakowska-Gałuch
• Języki publikacji: EN

Abstrakty

EN

Initial problems for nonlinear hyperbolic functional differential systems are considered. Classical solutions are approximated by solutions of suitable quasilinear systems of difference functional equations. The numerical methods used are difference schemes which are implicit with respect to the time variable. Theorems on convergence of difference schemes and error estimates of approximate solutions are presented. The proof of the stability is based on a comparison technique with nonlinear estimates of the Perron type. Numerical examples are given.

Kategorie tematyczne

• 65Q10: Difference equations
• 41A65: Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
• 35F25: Initial value problems for nonlinear first-order equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2010
• Tom: 37
• Numer: 4
• Strony: 459-482

Daty

wydano

2010

Twórcy

autor

Elżbieta Puźniakowska-Gałuch

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

Identyfikatory

DOI

10.4064/am37-4-5