Hi all
I have this class (kindly fixed for me by @scidam thanks again)
given in this form. but I really don't how ho to change solver ...
I have this class (kindly fixed for me by @scidam thanks again)
import numpy as np from scipy.optimize import fsolve , newton_krylov import matplotlib.pyplot as plt class ImpRK4 : def __init__(self, fun , t0, tf, dt , y0): self.func = fun self.t0=t0 self.tf=tf self.dt=dt self.u0=y0 self.n = round((tf-t0)/dt) self.time = np.linspace(self.t0, self.tf, self.n+1 ) self.u = np.array([self.u0 for i in range(self.n+1) ]) def f(self,ti,ui): return np.array([functions(ti,ui) for functions in self.func]) def solve(self): for i in range(len(self.time)-1): def equations(variable): k1,k2 = variable f1 = -k1 + self.f(self.time[i]+ (0.5+np.sqrt(3)/6)* self.dt , self.u[i]+0.25*self.dt* k1+ (0.25+ np.sqrt(3)/6)*self.dt*k2) f2 = -k2 + self.f(self.time[i]+ (0.5-np.sqrt(3)/6)* self.dt , self.u[i]+(0.25-np.sqrt(3)/6)*self.dt *k1 + 0.25*self.dt* k2) return np.array([f1,f2]).ravel() #.reshape(2,) k1 , k2 = fsolve(equations,(2,2)) #(self.u[i],self.u[i])) self.u[i+1] = self.u[i] + self.dt/2* (k1 + k2) plt.plot(self.time,self.u) plt.show() def main(): func00 = lambda t,u : -10*(t-1)*u[0] func01 = lambda t,u : u[1] func02 = lambda t,u : (1-u[0]**2)*u[1] - u[0] func0x = np.array([func00]) func0 = np.array([func01,func02]) t0 = 0. tf = 2. u0 = y01 dt = 0.008 y01 = np.array([1.,1.]) diffeq = ImpRK4(func0,t0,tf,dt,y01) #y0 = np.array([np.exp(-5)]) #diffeq.solve() #diffeq = ImpRK4(func0x,t0,tf,dt,y0) ## with single equations works diffeq.solve() if __name__ == '__main__': main()I would like to know how can I switch from fsolve to newton or newton_krylov ... from what I understand newton_krylov doesn't acept the args=()
given in this form. but I really don't how ho to change solver ...