TY  - JOUR
ID  - Puźniakowska2008
LB  - Puźniakowska2008
AU  - Puźniakowska, Elżbieta
TI  - On the Chaplyghin method for first order partial differential equations
ST  - On the Chaplyghin method for first order partial differential equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2008
VL  - 28
IS  - 2
SP  - 163
EP  - 178
DO  - http://dx.doi.org/10.7494/OpMath.2008.28.2.163
UR  - http://dx.doi.org/10.7494/OpMath.2008.28.2.163
AB  - 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.
KW  - characteristics
KW  - Newton method
KW  - Chaplyghin sequences
KW  - initial problems
SN  - 1232-9274
ER  -