# Mathematical Methods for Boundary Value Problems

- Institution: IIT Kharagpur
- Department: Mathematics
- Teacher: Prof. Somnath Bhattacharyya
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111105132)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111105132)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Lecture 01: Strum-Liouville Problems, Linear BVP](https://invisiblenetwork.ai/learn/nptel/111105132/63148e836142) (Video)
2. [Lecture 02: Strum-Liouville Problems, Linear BVP (Contd.)](https://invisiblenetwork.ai/learn/nptel/111105132/a15c6d8320c8) (Video)
3. [Lecture 03: Solution of BVPs by Eigen function expansion](https://invisiblenetwork.ai/learn/nptel/111105132/6a9eb6e94719) (Video)
4. [Lecture 04: Solution of BVPs by Eigen function expansion (Contd.)](https://invisiblenetwork.ai/learn/nptel/111105132/df4675f9231e) (Video)
5. [Lecture 05: Solutions of linear parabolic, hyperbolic and elliptic PDEs with finite domain by Eigen function expansions](https://invisiblenetwork.ai/learn/nptel/111105132/6d4a9115669a) (Video)
6. [Lecture 06: Solutions of linear parabolic, hyperbolic and elliptic PDEs with finite domain by Eigen function expansions (Contd.)](https://invisiblenetwork.ai/learn/nptel/111105132/5b410ea870b2) (Video)
7. [Lecture 07: Green's function for BVP and Dirichlet problem](https://invisiblenetwork.ai/learn/nptel/111105132/32a03dd5ce1f) (Video)
8. [Lecture 08: Green's function for BVP and Dirichlet problem (Contd.)](https://invisiblenetwork.ai/learn/nptel/111105132/f4df7cb2b7d2) (Video)
9. [Lecture 09: Numerical techniques for IVP; Shooting method for BVP](https://invisiblenetwork.ai/learn/nptel/111105132/870c508dc8b3) (Video)
10. [Lecture 10: Numerical techniques for IVP; Shooting method for BVP (Contd.)](https://invisiblenetwork.ai/learn/nptel/111105132/18b2e6ae78d4) (Video)
11. [Lecture 11 : Finite difference methods for linear BVP; Thomas Algorithm](https://invisiblenetwork.ai/learn/nptel/111105132/23aafdaa4108) (Video)
12. [Lecture 12 : Finite difference methods for linear BVP; Thomas Algorithm (Contd.)](https://invisiblenetwork.ai/learn/nptel/111105132/a2f56ac7f7f9) (Video)
13. [Lecture 13 : Finite difference method for Higher-order BVP; Block tri-diagonal System](https://invisiblenetwork.ai/learn/nptel/111105132/ee9b39ea180a) (Video)
14. [Lecture 14 : Finite difference method for Higher-order BVP; Block tri-diagonal System (Contd.)](https://invisiblenetwork.ai/learn/nptel/111105132/14728667a1c6) (Video)
15. [Lecture 15 : Iterative methods for nonlinear BVP; Control volume formulation](https://invisiblenetwork.ai/learn/nptel/111105132/61eb6f862fc8) (Video)
16. [Lecture 16 : Iterative methods for nonlinear BVP; Control volume formulation (Contd.)](https://invisiblenetwork.ai/learn/nptel/111105132/07e781f42883) (Video)
17. [Lecture 17 : Implicit scheme; Truncation error; Crank-Nicolson scheme](https://invisiblenetwork.ai/learn/nptel/111105132/ab1d3c162664) (Video)
18. [Lecture 18 : Implicit scheme; Truncation error; Crank-Nicolson scheme (Contd.)](https://invisiblenetwork.ai/learn/nptel/111105132/3749c448136a) (Video)
19. [Lecture 19 : Stability analysis of numerical schemes](https://invisiblenetwork.ai/learn/nptel/111105132/eeace84f9a68) (Video)
20. [Lecture 20 : Alternating-Direction-Implicit Scheme; Successive-Over-Relaxation technique for Poisson equations](https://invisiblenetwork.ai/learn/nptel/111105132/849970619324) (Video)