5th semester files

5th-Semester-Fall-2023/EEMAGS/Notes/PythonSimulation.py

@@ -0,0 +1,29 @@
+import numpy as np
+from matplotlib import pyplot as plt
+from copy import deepcopy
+
+tau = 0.25          # Size of the time step
+N = 4               # Number of grid points
+c = 1               # Normalized speed of light
+L = 1               # Size of the system
+h = L / N           # Spacing of grids (0.25)
+hct = h / (c*tau)   # 1 here
+coef = 1 / 2*(hct)  # 1/2 here
+sig = 1             # Width of the pulse
+
+z = np.arange(-L/2 + h/2, L/2 + h/2, h)
+
+phi = [0, 1, 1, 0]
+
+phinew = [0]*N
+
+steps = 5
+for i in range(steps):
+    for k in range(N):
+        if k != 0 and k != N-1:
+            phinew[k] = (0.5 - coef)*phi[k+1] + (0.5 + coef)*phi[k-1]
+        else:
+            phinew[0] = (0.5 - coef)*phi[1] + (0.5 + coef)*phi[N-1]
+            phinew[N-1] = (0.5 - coef)*phi[0] + (0.5 + coef)*phi[N-2]
+    phi = deepcopy(phinew)
+    print(phi)