TY - GEN
T1 - Application of the Taylor Transformation to the Systems of Ordinary Differential Equations
AU - Grzymkowski, Radosław
AU - Pleszczyński, Mariusz
N1 - Publisher Copyright:
© 2018, Springer Nature Switzerland AG.
PY - 2018
Y1 - 2018
N2 - In the paper the Taylor transformation is applied to systems of ordinary differential equations, including nonlinear differential equations. Apart from the description of the method, its computational effectiveness is demonstrated on example. Efficiency of the proposed method is confirmed it with the selected classical methods devoted to problems of considered kind. The present paper is an introduction to some further research in this area, which is very important for a wide range of problems described by means of the systems of ordinary differential equations.
AB - In the paper the Taylor transformation is applied to systems of ordinary differential equations, including nonlinear differential equations. Apart from the description of the method, its computational effectiveness is demonstrated on example. Efficiency of the proposed method is confirmed it with the selected classical methods devoted to problems of considered kind. The present paper is an introduction to some further research in this area, which is very important for a wide range of problems described by means of the systems of ordinary differential equations.
KW - System of ordinary differential equations
KW - Taylor transformation
UR - https://www.scopus.com/pages/publications/85053626234
U2 - 10.1007/978-3-319-99972-2_31
DO - 10.1007/978-3-319-99972-2_31
M3 - Conference contribution
AN - SCOPUS:85053626234
SN - 9783319999715
T3 - Communications in Computer and Information Science
SP - 379
EP - 387
BT - Information and Software Technologies - 24th International Conference, ICIST 2018, Proceedings
A2 - Damasevicius, Robertas
A2 - Vasiljeviene, Giedre
PB - Springer Verlag
T2 - 24th International Conference on Information and Software Technologies, ICIST 2018
Y2 - 4 October 2018 through 6 October 2018
ER -