To view the code used to create these the following plots please visit my github at: https://github.com/Tim-Mer/Julia_Beowulf

Using this equation with the initial constraints of:
- x = 0.0005
- x_0 = 0.4
- C = 25
- sigma_squared = 1e-3
- delta_x = 0.0005
- delta_t = 0.2
- k_0 = 500
the following graphs were created.


