Finite Difference Method

The function we used here is:

Highlights:

• Double Derivation is performed on the function f(x,t).

• The PDE formed is

• Initial Conditions taken as : f(x,0) = sin(x)
• Boundary Conditions taken as: f(0,t) = 0 and f(L,t) = sin(L)*exp(-t)

The Graph:

Note:

The code provided here contains a comparison between the original function and the function we made using PDE to check if both the graph coincides