I am having a problem: I need to solve a stiff system composed by more than 1500 ordinary differential equations (using the ode15s function). The principal problem is computational time and I am not familiar in optimizing it. We have a dual core processor and I suppose that without any special order Matlab is not exploiting all its power.
First question, is the parallel computing toolbox ok for this task?
Second question, having 1500 interconnected differential equations (the first one affects all the others, and the n-th one is affected by all the previous ones), is it possible to reduce the computational time using parallel computing? In my head, equations should be splitted in 2 groups, which are divided in the two cores, but these two cores should communicate between them because equations in the second group will need information contained in the equations in the first group.
Thank you for your help.