I have been asked to assess the stability of my numerical solutions to two different sets of transient differential equations that govern the same phenomena. I am not sure how I can assess and compare the stability of the two solutions.
I am solving the equations using the same Matlab ode solves and discretising the equations in space using similar schemes. I am confused on whether stability is analysed by looking at the solution or the methods used to get to the solution. I would appreciate some guidance.
Thanks very much.