how to solve a non linear ode equation ?

4 visualizaciones (últimos 30 días)
hamza karim
hamza karim el 14 de Sept. de 2021
Comentada: Bjorn Gustavsson el 16 de Sept. de 2021
Hello,
i have the following ODE that i want to solve
where k_r and kaq are constant values.
i am really stuck on what approach should i take to implement the equation in matalb, i have tried to linearize the equation using odetovectorfield function to solve it using ode45 or another solver but it won't work since the equation is not a quasi-linear differential equation as explained in the function description.
I would be grateful for any guidance or help
thanks in advance !

Respuestas (1)

Bjorn Gustavsson
Bjorn Gustavsson el 14 de Sept. de 2021
You have a quadratic equation for dCAdt, solve that one as a standard quadratic equation, you will end up with two solutions for dCAdt that will be possible to solve. If you're somewhat lucky you might end up with solutions that are simple enough to solve analyticalls. Depending on your initial condition you might have to discard one of the solutions and select one to proceed with.
HTH
  4 comentarios
hamza karim
hamza karim el 16 de Sept. de 2021
Editada: hamza karim el 16 de Sept. de 2021
thanks again for your reply Bjorn,
Regarding the units, yes i am sure. I even have done dimensional analysis to verify but it is correct. I will look further in the problem
thanks again
Bjorn Gustavsson
Bjorn Gustavsson el 16 de Sept. de 2021
Regarding units again: you might have forgotten to correct reaction-rates from cm³/s to m³/s or some such easy to forget step. That would give you something like a 6 orders of magnitude change in reaction-rates, but would be hard to capture with dimensional analysis...

Iniciar sesión para comentar.

Categorías

Más información sobre Ordinary Differential Equations en Help Center y File Exchange.

Etiquetas

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by