Hi Guys

I have a set of differential equations which are nonlinear and also present chaos when initial conditions are assigned. My query is not with regards to solving the equations on Mathematica but rather what functionality does Mathematica offer compared to Matlab when dealing with such equations.

I have currently modelled the system on Matlab and found that the solution presents errors shortly after 10-15 seconds. The reason I have found this issue is attributed to the fact that Matlab allows one to use different types of ODE solvers.

I am under the assumption that Mathematica has a far better capabilities when solving differential equations. Through my research I have found that the NDSolve command can be used to develop numerical results to differential equations. So my questions are as follows:

• What advantages does Mathematica have over Matlab for solving differential equations?
• How would one check the accuracy of solution on Mathematica? as there is just one command which is used for solving hence no comparison can be made.

Apologies I do not have any code to share at this point as this is just a query so I know if it is worth my time to move over to Mathematica.