Brusselator: Non linear Odes system sample
The Brusselator is an oscillating problem for a certain type of chemical reactions modeled by a system of nonlinear differential equations
Consider the initial value problem
x' = 1-4x + yx2
y' = 3x - yx2
With
x(0) = 1.5
y(0) = 3.0
Let's use Runge-Kutta Calculator to solve numerically this probem.
If we introduce the problem in the application Runge-Kutta Calculator as
If we run the app Runge-Kutta Calculator obtain the graph
Notice how the values x,y produce an oscillation before becoming unstable after a certain time
Run this with Runge-Kutta Calculator
Consider the initial value problem
x' = 1-4x + yx2
y' = 3x - yx2
With
x(0) = 1.5
y(0) = 3.0
Let's use Runge-Kutta Calculator to solve numerically this probem.
If we introduce the problem in the application Runge-Kutta Calculator as
If we run the app Runge-Kutta Calculator obtain the graph
Notice how the values x,y produce an oscillation before becoming unstable after a certain time
Run this with Runge-Kutta Calculator