Implement finite difference method scheme/program for solving non-linear boundary value problem:
y’’ = f(x, y, y’); x belongs to [a, b]; y(a) = α and y(b) =
Test this scheme for an example problem like: Y’’ + (y’)2 = 1; y(0) = 1; y(1) = 2; h = 0.25.
Plot the graph of solution y.
Note that:
- Proper documentation should be used in the codes
- You have to submit a program. Name of the file should be: “Ass4_EntryNu”
- There will be evaluation of this assignment during some practical session, you will be informed before.
- Total Marks for this assignment = 4.
- No cheating allowed.