Draw figures of the numerical results with respect to the above three methods in phase space, respectively, where t∈[0,10000]. Observe the figures and explain the phenomena observed.
Numerical analysis of dynamic system(Master’s degree 2020)(All calculation results or figures obtained by computer must beattached with the program codes)(2 pages in total. Test paper and answer paper shall be submitted together ú)1. Consider backward differentiation formula (BDF).(a) Prove that thek-step BDF method is stable if and only ifk≤6 holds.(b) Prove that the k-step BDF […]