A METHOD FOR SOLVING NON-LINEAR DYNAMICAL SYSTEMS BASED ON LIE-SYMMETRY GL(N,R)

We derive an implicit scheme based on GL(n;R) Lie-groupto solve nonlinear dynamical systems. when one uses an implicit schemebased on GL(n;R), it converges very fast at each time marching step andthe accuracy is raised when comparing the computational results with theRKMK method[9].

کلیدواژه ها:

Non-linear dynamicalsystem ، Group-preserving scheme ، GL(n ، R) Lie-group scheme