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Course11110509322 lectures

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

Prof. Sirshendu De · IIT Kharagpur

Start with lecture 1 At NPTEL

Lectures

WEEK 1

  1. Lecture 01 : Introduction to PDE Video
  2. Lecture 02 : Classification of PDE Video
  3. Lecture 03 : Principle of Linear Superposition Video
  4. Lecture 04 : Standard Eigen Value Problem and Special ODEs Video
  5. Lecture 05 : Adjoint Operator Video

Week 0

  1. Lecture 06 : Generalized Sturm - Louiville Problem Video
  2. Lecture 07 : Properties of Adjoint Operator Video
  3. Lecture 08 : Separation of Variables: Rectangular Coordinate Systems Video
  4. Lecture 09 : Solution of 3 Dimensional Parabolic Problem Video
  5. Lecture 10 :Solution of 4 Dimensional Parabolic problem Video

WEEK 3

  1. Lecture 11 : Solution of 4 Dimensional Parabolic Problem (Contd.) Video
  2. Lecture 12 : Solution of Elliptical PDE Video
  3. Lecture 13 : Solution of Hyperbolic PDE Video
  4. Lecture 14 : Orthogonality of Bessel Function and 2 Dimensional Cylindrical Coordinate System Video
  5. Lecture 15 : Cylindrical Co-ordinate System - 3 Dimensional Problem Video

WEEK 4

  1. Lecture 16 : Spherical Polar Coordinate System Video
  2. Lecture 17 : Spherical Polar Coordinate System (Contd.) Video
  3. Lecture 18 : Example of Generalized 3 Dimensional Problem Video
  4. Lecture 19 : Example of Application Oriented Problems Video
  5. Lecture 20 : Examples of Application Oriented Problems (Contd.) Video

Live Session

  1. Live Session 01-03-2021 Video
  2. Live Session 27-02-2025 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Kharagpur
Department
Mathematics
Teacher
Prof. Sirshendu De
Level
Undergraduate
Language
English
Subjects
Mathematics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
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