Parabolic Equations: explicit and implicit finite difference approximations
to one dimensional
heat equation, Alternating Direction Implicit (ADI)
method, Hyperbolic Equations: Characteristic method, finite difference
solution of second order wave equation, Convergence, consistency and
stability analysis, Elliptic equations: finite difference method in polar
coordinates, techniques near curved boundaries, improvement of
accuracy, methods to accelerate the convergence, Finite element
method: types of integral formulations, one and two dimensional
elements, Galerkin formulation, application to Dirichlet and Neumann
problems.
- Teacher: sryedida SANYASIRAJU Y V S S