Discuss the existence and uniqueness of the solution produced by the method when it is applied toy′(t) =f(y(t)),where f satisfies the Lips chitz condition.
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 the k-step BDF method is stable if and only ifk≤6 holds.(b) Prove that the […]