Mathematica: Coupled differential equations

[Niles]

Hi

I am trying so solve a set of coupled ODE's. I have been able to get a solution from Mathematica using NDSolve, but when I change the coefficients an error appears:

"NDSolve::mxst: Maximum number of 10000 steps reached at the point t == 0.0000748339914040257`. >>"

I have tried increasing the number of steps to 20.000, but that doesn't help. I know my syntax is correct, since I have been able to get a solution when setting the coefficients c0..c4 to 1 just as the initial conditions.

I have attached my notebook. Can I get a hint to what might be wrong?


Niles.

 

[mmwave]

Hi Niles,

Thank you for reaching out for help with your problem. It sounds like you have already made some progress with your ODEs and have been able to get a solution for specific coefficients. However, when you try to change the coefficients, you are running into an error. This could be due to a variety of reasons, and without seeing your notebook and the specific equations you are trying to solve, it is difficult for me to give a definitive answer. However, here are a few things you can try to troubleshoot and hopefully solve your issue:

1. Check your equations: Make sure that your equations are correctly written and that there are no typos or mistakes in the syntax. This could be the reason why you are getting an error when you change the coefficients.

2. Check the initial conditions: It is possible that the initial conditions you have set for your equations are causing the error when you change the coefficients. Make sure that the initial conditions are appropriate for the new coefficients you are using.

3. Increase the MaxSteps option: The error you are getting indicates that the maximum number of steps has been reached during the calculation. You can try increasing the MaxSteps option even further to see if that helps.

4. Try using a different method: Mathematica's NDSolve function has several methods for solving ODEs. You can try using a different method to see if that helps with your error.

5. Consult the Mathematica documentation: The Mathematica documentation for NDSolve is quite extensive and can be a valuable resource for troubleshooting errors. You can also try searching for similar issues on Mathematica forums or asking for help on the Mathematica Stack Exchange.

I hope these suggestions help you in solving your problem. If you are still unable to find a solution, please feel free to reach out again with more specific details and I will try my best to assist you further.

Best of luck with your research!