NOC:Mathematical Methods for Boundary Value Problems


Lecture 1 - Strum-Liouville Problems, Linear BVP


Lecture 2 - Strum-Liouville Problems, Linear BVP (Continued...)


Lecture 3 - Solution of BVPs by Eigen function expansion


Lecture 4 - Solution of BVPs by Eigen function expansion (Continued...)


Lecture 5 - Solutions of linear parabolic, hyperbolic and elliptic PDEs with finite domain by Eigen function expansions


Lecture 6 - Solutions of linear parabolic, hyperbolic and elliptic PDEs with finite domain by Eigen function expansions (Continued...)


Lecture 7 - Green's Function for BVP and Dirichlet Problem


Lecture 8 - Green's Function for BVP and Dirichlet Problem (Continued...)


Lecture 9 - Numerical Techniques for IVP; Shooting Method for BVP


Lecture 10 - Numerical Techniques for IVP; Shooting Method for BVP (Continued...)


Lecture 11 - Finite difference methods for linear BVP; Thomas Algorithm


Lecture 12 - Finite difference methods for linear BVP; Thomas Algorithm (Continued...)


Lecture 13 - Finite difference method for Higher-order BVP; Block tri-diagonal System


Lecture 14 - Finite difference method for Higher-order BVP; Block tri-diagonal System (Continued...)


Lecture 15 - Iterative methods for nonlinear BVP; Control volume formulation


Lecture 16 - Iterative methods for nonlinear BVP; Control volume formulation (Continued...)


Lecture 17 - Implicit scheme; Truncation error; Crank-Nicolson scheme


Lecture 18 - Implicit scheme; Truncation error; Crank-Nicolson scheme (Continued...)


Lecture 19 - Stability analysis of numerical schemes


Lecture 20 - Alternating-Direction-Implicit Scheme; Successive-Over-Relaxation technique for Poisson equations