Partial Diffrential Equations        Introduction     Significance of Second order PDE     Finite Difference approximation to Partial derivatives    Descrtisation of a rectangular domain     Parabolic partial differential equations    Forward Time and Central Space (FTCS) scheme     Crank Nicolson (CN) scheme     Thomas algorithm     Weighted average scheme     Three level time scheme     Truncation error and     order of the schemes      FTCS scheme     Crank Nicolson scheme     Stability of the schemes     2D parabolic PDE     ADI method    Elliptic partial differential equations     Dirichlet problem     Hyperbolic partial differential equations     General theory of characteristic curves