Generalized Euler method for nonlinear first order partial differential functional equations

• Autorzy: Kamont, Z. , Nadolski, A.
• Języki publikacji: EN

Abstrakty

EN

Classical solutions of the local Cauchy problem on the Haar pyramid are approximated in the paper by solutions of suitable quasilinear systems of difference equations. The proof of the stability of the difference problem is based on a comparison technique with nonlinear estimates of the Perron type. This new approach to the numerical solving of nonlinear functional differential equations is generated by a quasilinearization method for initial problems. Numerical examples are given.

Słowa kluczowe

PL

równania funkcyjne; równania różniczkowe; metoda Eulera; problem Cauchy'ego

EN

nonlinear initial problems; difference equations; Euler method

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 4
• Strony: 976-996
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Kamont, Z.

autor

Nadolski, A.

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