First Integrals of Dynamical Systems And Their Numerical Preservation

Autor: Irshad, W., Habib, Y., Farooq, M. U.
Rok vydání: 2017
Předmět:
Druh dokumentu: Working Paper
Popis: We calculate Noether like operators and first integrals of scalar equation y'' = -k^2 y using complex Lie symmetry method, by taking values of k and y to be real as well as complex. We numerically integrate the equations using a symplectic Runge-Kutta method and check for preservation of these first integrals. It is seen that these structure preserving numerical methods provide qualitatively correct numerical results and good preservation of first integrals is obtained.
Databáze: arXiv