A Complex Lie-Symmetry Approach to Calculate First Integrals and Their Numerical Preservation

Symmetry

MuhammadUmar Farooq¹  Wajeeha Irshad²  Yousaf Habib² 

[1] Department of BS and H, College of E and ME, National University of Sciences and Technology, Peshawar Road, Rawalpindi 46000, Pakistan;School of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad 44000, Pakistan;

关键词: Hamiltonian system;    complex Lagrangian;    Noether symmetries;    first integrals;    symplectic Runge–Kutta methods;   

DOI  :  10.3390/sym11010011

来源: DOAJ

【 摘 要 】

We calculated Noether-like operators and first integrals of a scalar second-order ordinary differential equation using the complex Lie-symmetry method. We numerically integrated the equations using a symplectic Runge–Kutta method. It was seen that these structure-preserving numerical methods provide qualitatively correct numerical results, and good preservation of first integrals is obtained.

【 授权许可】

Unknown