Mathematical Methods For Boundary Value Problems

Por: Swayam . en: ,


Week 1:Boundary Value Problems ( BVP); Strum-Liouville Problems; Eigen Values, Eigen Functions. Solution of homogeneous/ non-homogeneous BVPs by Eigen function expansion.Week 2:Eigen function expansion techniques for PDEs; Green’s function; Dirichlet Problems; Maximum Principle.Week 3:Numerical Techniques for BVP: Shooting Method; Finite Difference Method; Block tri-diagonal system of equations; Numerical Methods for Non-linear BVPsWeek 4:Finite difference method for PDEs; Stability analysis; Crank-Nicolson Scheme; ADI scheme; Elliptic type of Partial Differential Equations; Successive-Over-Relaxation Method.