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Lecture 5 of 20WEEK 1

Lecture 05: Solutions of linear parabolic, hyperbolic and elliptic PDEs with finite domain by Eigen function expansions

Prof. Somnath Bhattacharyya · IIT Kharagpur

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Mathematical Methods for Boundary Value Problems, IIT Kharagpur (at NPTEL)
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CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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All the lectures

  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
  6. Lecture 06: Solutions of linear parabolic, hyperbolic and elliptic PDEs with finite domain by Eigen function expansions (Contd.) Video
  7. Lecture 07: Green's function for BVP and Dirichlet problem Video
  8. Lecture 08: Green's function for BVP and Dirichlet problem (Contd.) Video
  9. Lecture 09: Numerical techniques for IVP; Shooting method for BVP Video
  10. Lecture 10: Numerical techniques for IVP; Shooting method for BVP (Contd.) Video
  11. Lecture 11 : Finite difference methods for linear BVP; Thomas Algorithm Video
  12. Lecture 12 : Finite difference methods for linear BVP; Thomas Algorithm (Contd.) Video
  13. Lecture 13 : Finite difference method for Higher-order BVP; Block tri-diagonal System Video
  14. Lecture 14 : Finite difference method for Higher-order BVP; Block tri-diagonal System (Contd.) Video
  15. Lecture 15 : Iterative methods for nonlinear BVP; Control volume formulation Video
  16. Lecture 16 : Iterative methods for nonlinear BVP; Control volume formulation (Contd.) Video
  17. Lecture 17 : Implicit scheme; Truncation error; Crank-Nicolson scheme Video
  18. Lecture 18 : Implicit scheme; Truncation error; Crank-Nicolson scheme (Contd.) Video
  19. Lecture 19 : Stability analysis of numerical schemes Video
  20. Lecture 20 : Alternating-Direction-Implicit Scheme; Successive-Over-Relaxation technique for Poisson equations Video