Introduction to numerical solution of Partial Differential Equations, Numerical solution of parabolic Equations : Direct Methods, Crank-Nicolson, Convergence, Stability. Two dimensional Parabolic Equations : Direct Methods, Iterative Methods, Three-dimensional Parabolic Equations. Numerical solution of elliptic equations, Iterative Methods , Numerical solution of Hyperbolic Equations, Direct Methods, Iterative Methods.