Learn · Numerical Methods: Finite difference approach

Lecture 15 of 20Unit 3

Solution of Elliptic equation using ADI scheme

Prof. Ameeya Kumar Nayak · IIT Roorkee

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Numerical Methods: Finite difference approach, IIT Roorkee (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. Introduction to Numerical solutions Video
  2. Numerical Solution of ODE Video
  3. Numerical solution of PDE Video
  4. Finite difference approximation Video
  5. Polynomial fitting and one-sided approximation Video
  6. Solution of parabolic equation Video
  7. Implicit and C-N scheme for solving 1D parabolic equation Video
  8. Stability analysis of Explicit scheme for solving parabolic equation Video
  9. Stability of Crank-Nicoloson's scheme Video
  10. Approximation of derivative boundary conditions Video
  11. Solution of two-dimensional parabolic equation Video
  12. Solution of 2D parabolic equation using ADI scheme Video
  13. Solution of Elliptic Equation Video
  14. Solution of Elliptic equation using SOR method Video
  15. Solution of Elliptic equation using ADI scheme Video
  16. Solution of Hyperbolic equation Video
  17. Stability analysis for Hyperbolic equations Video
  18. Characteristics of PDE Video
  19. Lax-Wendroff's method Video
  20. Wendroff's method Video