On the Chaplyghin method for first order partial differential equations

• Autorzy: Puźniakowska E.
• Języki publikacji: EN

Abstrakty

EN

Classical solutions of initial problems for nonlinear first order partial differential equations are considered. It is shown that under natural assumptions on given functions, there exist Chaplyghin sequences and they are convergent. Error estimates for approximate solutions are given. The method of characteristics is used for the construction of approximate solutions.

Słowa kluczowe

EN

characteristics; Newton method; Chaplyghin sequences; initial problems

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2008
• Tom: Vol. 28, no. 2
• Strony: 163--178
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Puźniakowska E.

• University of Gdańsk, Institute of Mathematics, Wita Stwosza 57, 80-952 Gdańsk, Poland,

Bibliografia

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