| Weeks | Topics |
| 1 |
Numerical Methods for Initial Value Problems
|
| 2 |
Taylor Series and Picard Methods
|
| 3 |
Explicit Euler and Modified Euler Methods
|
| 4 |
Implicit Euler and Crank-Nicolson Methods
|
| 5 |
Runge-Kutta Methods
|
| 6 |
Predictor-Corrector Methods
|
| 7 |
Numerical Methods for Boundary Value Problems
|
| 8 |
Solution by Shooting Method
|
| 9 |
Solution by Finite Difference Method
|
| 10 |
Solution by Control Volume Method
|
| 11 |
Solution by Cubic Spline Method
|
| 12 |
Solution by Finite Element Method
|
| 13 |
Solution by Differential Quadrature Method
|
| 14 |
Solution by Compact Finite Difference Method
|