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Course11110513220 lectures

Mathematical Methods for Boundary Value Problems

Prof. Somnath Bhattacharyya · IIT Kharagpur

Start with lecture 1 At NPTEL

Lectures

WEEK 1

  1. Lecture 01: Strum-Liouville Problems, Linear BVP Video
  2. Lecture 02: Strum-Liouville Problems, Linear BVP (Contd.) Video
  3. Lecture 03: Solution of BVPs by Eigen function expansion Video
  4. Lecture 04: Solution of BVPs by Eigen function expansion (Contd.) Video
  5. Lecture 05: Solutions of linear parabolic, hyperbolic and elliptic PDEs with finite domain by Eigen function expansions Video

WEEK 2

  1. Lecture 06: Solutions of linear parabolic, hyperbolic and elliptic PDEs with finite domain by Eigen function expansions (Contd.) Video
  2. Lecture 07: Green's function for BVP and Dirichlet problem Video
  3. Lecture 08: Green's function for BVP and Dirichlet problem (Contd.) Video
  4. Lecture 09: Numerical techniques for IVP; Shooting method for BVP Video
  5. Lecture 10: Numerical techniques for IVP; Shooting method for BVP (Contd.) Video

WEEK 3

  1. Lecture 11 : Finite difference methods for linear BVP; Thomas Algorithm Video
  2. Lecture 12 : Finite difference methods for linear BVP; Thomas Algorithm (Contd.) Video
  3. Lecture 13 : Finite difference method for Higher-order BVP; Block tri-diagonal System Video
  4. Lecture 14 : Finite difference method for Higher-order BVP; Block tri-diagonal System (Contd.) Video
  5. Lecture 15 : Iterative methods for nonlinear BVP; Control volume formulation Video

WEEK 4

  1. Lecture 16 : Iterative methods for nonlinear BVP; Control volume formulation (Contd.) Video
  2. Lecture 17 : Implicit scheme; Truncation error; Crank-Nicolson scheme Video
  3. Lecture 18 : Implicit scheme; Truncation error; Crank-Nicolson scheme (Contd.) Video
  4. Lecture 19 : Stability analysis of numerical schemes Video
  5. Lecture 20 : Alternating-Direction-Implicit Scheme; Successive-Over-Relaxation technique for Poisson equations Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Kharagpur
Department
Mathematics
Teacher
Prof. Somnath Bhattacharyya
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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