# Numerical Methods: Finite difference approach

- Institution: IIT Roorkee
- Department: Mathematics
- Teacher: Prof. Ameeya Kumar Nayak
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111107107)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111107107)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Introduction to Numerical solutions](https://invisiblenetwork.ai/learn/nptel/111107107/24c8deae7040) (Video)
2. [Numerical Solution of ODE](https://invisiblenetwork.ai/learn/nptel/111107107/dc1ca9f009ec) (Video)
3. [Numerical solution of PDE](https://invisiblenetwork.ai/learn/nptel/111107107/2caaddcc607c) (Video)
4. [Finite difference approximation](https://invisiblenetwork.ai/learn/nptel/111107107/4f14f939fe2e) (Video)
5. [Polynomial fitting and one-sided approximation](https://invisiblenetwork.ai/learn/nptel/111107107/c1edec68ad56) (Video)
6. [Solution of parabolic equation](https://invisiblenetwork.ai/learn/nptel/111107107/0ca76c8b6ef4) (Video)
7. [Implicit and C-N scheme for solving 1D parabolic equation](https://invisiblenetwork.ai/learn/nptel/111107107/9a8f0ff435cf) (Video)
8. [Stability analysis of Explicit scheme for solving parabolic equation](https://invisiblenetwork.ai/learn/nptel/111107107/81d13d078e66) (Video)
9. [Stability of Crank-Nicoloson's scheme](https://invisiblenetwork.ai/learn/nptel/111107107/d3a4fca2746c) (Video)
10. [Approximation of derivative boundary conditions](https://invisiblenetwork.ai/learn/nptel/111107107/6c90cf34a03f) (Video)
11. [Solution of two-dimensional parabolic equation](https://invisiblenetwork.ai/learn/nptel/111107107/bf726511488b) (Video)
12. [Solution of 2D parabolic equation using ADI scheme](https://invisiblenetwork.ai/learn/nptel/111107107/5190665d710d) (Video)
13. [Solution of Elliptic Equation](https://invisiblenetwork.ai/learn/nptel/111107107/c96a32868c3a) (Video)
14. [Solution of Elliptic equation using SOR method](https://invisiblenetwork.ai/learn/nptel/111107107/afcbe0a44bb4) (Video)
15. [Solution of Elliptic equation using ADI scheme](https://invisiblenetwork.ai/learn/nptel/111107107/07e3634f9a85) (Video)
16. [Solution of Hyperbolic equation](https://invisiblenetwork.ai/learn/nptel/111107107/c20ea85abeeb) (Video)
17. [Stability analysis for Hyperbolic equations](https://invisiblenetwork.ai/learn/nptel/111107107/dcf9783dd819) (Video)
18. [Characteristics of PDE](https://invisiblenetwork.ai/learn/nptel/111107107/7a1fbbbb0929) (Video)
19. [Lax-Wendroff's method](https://invisiblenetwork.ai/learn/nptel/111107107/d0e16941853e) (Video)
20. [Wendroff's method](https://invisiblenetwork.ai/learn/nptel/111107107/f8243cf5624e) (Video)