From firstname.lastname@example.org@21:1/5 to All on Fri Sep 11 07:46:50 2015
Hello all, I'm new to solving system of differential equations
numerically. I am trying to integrate with respect to time 2 transport equations which are coupled. It is initial value problem and solution
of j-1 equation is a parameter in the next equation. I tried using
forward Euler as a first attempt to compute the solution but after some iterations the values of the variables are apporaching either
Here are the system of equations (changed variable name for simplicity)
In the above equation I know initial values of y & z. Also the
constants in expression are numerical values being calculated from an
input data file in every iteration.
I would like to know how to integrate the above expression which looks complicated with so many exponents and coupling. Kindly guide me to a
proper solution or to any literature where I can find solution to these
type of engineering problems.