# Partial Differential Equations (PDE) For Engineers: Solution By Separation Of Variables

- Institution: IIT Kharagpur
- Department: Mathematics
- Teacher: Prof. Sirshendu De
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111105093)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111105093)
- 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 : Introduction to PDE](https://invisiblenetwork.ai/learn/nptel/111105093/203adb7459a8) (Video)
2. [Lecture 02 : Classification of PDE](https://invisiblenetwork.ai/learn/nptel/111105093/d21ca18cf2fc) (Video)
3. [Lecture 03 : Principle of Linear Superposition](https://invisiblenetwork.ai/learn/nptel/111105093/3adc50128b92) (Video)
4. [Lecture 04 : Standard Eigen Value Problem and Special ODEs](https://invisiblenetwork.ai/learn/nptel/111105093/f90e4f520d82) (Video)
5. [Lecture 05 : Adjoint Operator](https://invisiblenetwork.ai/learn/nptel/111105093/7b2088b90148) (Video)
6. [Lecture 06 : Generalized Sturm - Louiville Problem](https://invisiblenetwork.ai/learn/nptel/111105093/b8d13fac84d0) (Video)
7. [Lecture 07 : Properties of Adjoint Operator](https://invisiblenetwork.ai/learn/nptel/111105093/147affc858ff) (Video)
8. [Lecture 08 : Separation of Variables: Rectangular Coordinate Systems](https://invisiblenetwork.ai/learn/nptel/111105093/754e4aeb4191) (Video)
9. [Lecture 09 : Solution of 3 Dimensional Parabolic Problem](https://invisiblenetwork.ai/learn/nptel/111105093/027347e487f5) (Video)
10. [Lecture 10 :Solution of 4 Dimensional Parabolic problem](https://invisiblenetwork.ai/learn/nptel/111105093/19e1d79f55ce) (Video)
11. [Lecture 11 : Solution of 4 Dimensional Parabolic Problem (Contd.)](https://invisiblenetwork.ai/learn/nptel/111105093/c9967b0c9c1e) (Video)
12. [Lecture 12 : Solution of Elliptical PDE](https://invisiblenetwork.ai/learn/nptel/111105093/d541cd59cf09) (Video)
13. [Lecture 13 : Solution of Hyperbolic PDE](https://invisiblenetwork.ai/learn/nptel/111105093/d6793545638f) (Video)
14. [Lecture 14 : Orthogonality of Bessel Function and 2 Dimensional Cylindrical Coordinate System](https://invisiblenetwork.ai/learn/nptel/111105093/517595a6a076) (Video)
15. [Lecture 15 : Cylindrical Co-ordinate System - 3 Dimensional Problem](https://invisiblenetwork.ai/learn/nptel/111105093/626951c1a828) (Video)
16. [Lecture 16 : Spherical Polar Coordinate System](https://invisiblenetwork.ai/learn/nptel/111105093/716fc63c4373) (Video)
17. [Lecture 17 : Spherical Polar Coordinate System (Contd.)](https://invisiblenetwork.ai/learn/nptel/111105093/a9b84a2b0a21) (Video)
18. [Lecture 18 : Example of Generalized 3 Dimensional Problem](https://invisiblenetwork.ai/learn/nptel/111105093/4b8c87c1fff6) (Video)
19. [Lecture 19 : Example of Application Oriented Problems](https://invisiblenetwork.ai/learn/nptel/111105093/a5aa6e1bd3f4) (Video)
20. [Lecture 20 : Examples of Application Oriented Problems (Contd.)](https://invisiblenetwork.ai/learn/nptel/111105093/070a01bba664) (Video)
21. [Live Session 01-03-2021](https://invisiblenetwork.ai/learn/nptel/111105093/203adb7459a8-2) (Video)
22. [Live Session 27-02-2025](https://invisiblenetwork.ai/learn/nptel/111105093/d21ca18cf2fc-2) (Video)