Systems of Nonlinear Differential Equations

[Aline Rocha]

Hi,
I trying to solve a system of Nonlinear Differential Equations.
I'm using Runge-Kutta on the Differential equations and Newton Method
for the system. I have some doubts in how to create the JAcobian to the
differential equations.

Could somebody help me, please?
Thank you,
Aline

 

[CFDFEAGURU]

What are the equations? Hard to help when there are no equations.

Thanks
Matt

 

[Aline Rocha]

I have in my system a equation like this:

\frac{dy}{dx}=\sum\frac{By}{M1}

B and M1 are constats.

When I apply the Runge-Kutta I have:

y_{i}=y_{i-1}+\frac{h}{6}(k1+2k2+2k3+k4)

My doubt is: How do I incert this in the equation of the system to build the Jacobian?

Thaks,
Aline

 

[Aline Rocha]

Before discuss my question I have to learn how to post using the Latex.
Do you know why this happened?