Solving system of three differential equations using Runge-Kutta 4 in python Question: I wrote code for Runge-Kutta 4 for solving system of 3 ODEs I think that it does not work fine for because I solved the system with Euler’s method and I had have the following results But with the RK4’s code attached I …
Runge Kutta 4th order Python Question: I am trying to solve this equation using Runge Kutta 4th order: applying d2Q/dt2=F(y,x,v) and dQ/dt=u Q=y in my program. I try to run the code but i get this error: Traceback (most recent call last): File "C:UsersEgwDesktopAnalyshAskhsh1asdasda.py", line 28, in <module> k1 = F(y, u, x) #(x, v, …
How can I find out the amount of susceptible, infected and recovered individuals in time = 50, where S(50), I(50), R(50)? (SIR MODEL) Question: How can I find out the amount of susceptible, infected and recovered individuals in time = 50, where S(50), I(50), R(50)? (SIR MODEL) # Equações diferenciais e suas condições iniciais h …
How to Repeat an Iteration in a For loop, Python 3 Question: I am currently working on implementing the numerical method RKF45 (Runge-Kutta-Fehlberg-45) with adaptive step size into python 3 and I believe I am running into a fundamental loop issue that I cannot resolve. Note, the portion of this numerical method I am having …
Runge Kutta constants diverging for Lorenz system? Question: I’m trying to solve the Lorenz system using the 4th order Runge Kutta method, where dx/dt=a*(y-x) dy/dt=x(b-z)-y dx/dt=x*y-c*z Since this system doesn’t depend explicity on time, it’s possibly to ignore that part in the iteration, so I just have dX=F(x,y,z) def func(x0): a=10 b=38.63 c=8/3 fx=a*(x0[1]-x0[0]) fy=x0[0]*(b-x0[2])-x0[1] …
Using Runge-Kutta to solve coupled differential equations Question: I have a system of coupled equations: the hydrostatic equilibrium equation, the mass continuity equation, and an equation of state of the ideal gas. These are, in mathematical grammer, frac{dP}{dr}=- rho*g, where rho is the density and g is the gravitational acceleration. frac{dM}{dr}=4*pi* r^2*rho and p=rho* k_B* …
What is the possible source of error in Runge-Kutta 4 algorithm in python for solving SHM Question: I wrote a simple RK4 program in python to solve SHM equation: y”[t] = -w^2*y[t] by writing: z'[t] = -w^2*y y'[t] = z Following is the RK4 code: def rk4_gen(t, y, z, h): k1 = h*f1(y, z, t) …
