Mathematical Methods for Boundary Value Problems ZFPB30HH5P
| URI | m2://res/ZFPB30HH5P |
|---|---|
| Kind | course |
| Creators | Somnath Bhattacharyya (instructor) |
| Date | 2019-05-28 |
| MSC | 35-XX |
| Scope | in |
| Ids | course 03w5sq511:111105132 |
Expressions
e1: edition
| Language | en |
|---|---|
| Date | 2019-05-28 |
- m1: page, IIT Kharagpur (record). nptel 111105132
- m2: page, 2019-05-28 (record). nptel 111105132
Contents
- part 1: WEEK 1
- session 1: Lecture 01: Strum-Liouville Problems, Linear BVP
- session 2: Lecture 02: Strum-Liouville Problems, Linear BVP (Contd.)
- session 3: Lecture 03: Solution of BVPs by Eigen function expansion
- session 4: Lecture 04: Solution of BVPs by Eigen function expansion (Contd.)
- session 5: Lecture 05: Solutions of linear parabolic, hyperbolic and elliptic PDEs with finite domain by Eigen function expansions
- part 2: WEEK 2
- session 6: Lecture 06: Solutions of linear parabolic, hyperbolic and elliptic PDEs with finite domain by Eigen function expansions (Contd.)
- session 7: Lecture 07: Green's function for BVP and Dirichlet problem
- session 8: Lecture 08: Green's function for BVP and Dirichlet problem (Contd.)
- session 9: Lecture 09: Numerical techniques for IVP; Shooting method for BVP
- session 10: Lecture 10: Numerical techniques for IVP; Shooting method for BVP (Contd.)
- part 3: WEEK 3
- session 11: Lecture 11 : Finite difference methods for linear BVP; Thomas Algorithm
- session 12: Lecture 12 : Finite difference methods for linear BVP; Thomas Algorithm (Contd.)
- session 13: Lecture 13 : Finite difference method for Higher-order BVP; Block tri-diagonal System
- session 14: Lecture 14 : Finite difference method for Higher-order BVP; Block tri-diagonal System (Contd.)
- session 15: Lecture 15 : Iterative methods for nonlinear BVP; Control volume formulation
- part 4: WEEK 4
- session 16: Lecture 16 : Iterative methods for nonlinear BVP; Control volume formulation (Contd.)
- session 17: Lecture 17 : Implicit scheme; Truncation error; Crank-Nicolson scheme
- session 18: Lecture 18 : Implicit scheme; Truncation error; Crank-Nicolson scheme (Contd.)
- session 19: Lecture 19 : Stability analysis of numerical schemes
- session 20: Lecture 20 : Alternating-Direction-Implicit Scheme; Successive-Over-Relaxation technique for Poisson equations
Catalogue records
- nptel: 111105132 (manifestation)
- nptel_video: 111105132 (manifestation)