Numerical method of bicharacteristics for quasilinear hyperbolic functional differential systems

• Autorzy: Karolina Kropielnicka
• Języki publikacji: EN

Abstrakty

EN

Classical solutions of mixed problems for first order partial functional differential systems in two independent variables are approximated in the paper with solutions of a difference problem of the Euler type. The mesh for the approximate solutions is obtained by a numerical solving of equations of bicharacteristics. The convergence of explicit difference schemes is proved by means of consistency and stability arguments. It is assumed that given functions satisfy nonlinear estimates of the Perron type. Differential systems with deviated variables and differential integral systems can be obtained from a general model by specializing given operators.

Słowa kluczowe

EN

initial boundary value problems; bicharacteristics; interpolating operators

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2005
• Tom: 45
• Numer: 1

Daty

wydano

2005

online

2017-12-19

Twórcy

autor

Karolina Kropielnicka

Identyfikatory

DOI

10.14708/cm.v45i1.5230