Symplectic Effective Order Numerical Methods for Separable Hamiltonian Systems

Symmetry

Muhammad Younas¹  Yousaf Habib²  Shafiqur Rehman³  Junaid Ahmad³  Saba Shafiq⁴  Azqa Arif⁴ 

[1] Business Administration Programme, Virtual University of Pakistan, Lahore 54000, Pakistan;Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 45550, Pakistan;Department of Mathematics, University of Engineering and Technology, Lahore 54890, Pakistan;School of Natural Sciences, Department of Mathematics, National University of Sciences and Technology, Islamabad 44000, Pakistan;

关键词: effective order;    partitioned runge-kutta methods;    symplecticity;    hamiltonian systems;   

DOI  :  10.3390/sym11020142

来源: DOAJ

【 摘 要 】

A family of explicit symplectic partitioned Runge-Kutta methods are derived with effective order 3 for the numerical integration of separable Hamiltonian systems. The proposed explicit methods are more efficient than existing symplectic implicit Runge-Kutta methods. A selection of numerical experiments on separable Hamiltonian system confirming the efficiency of the approach is also provided with good energy conservation.

【 授权许可】

Unknown