Scripted HTML version of Foils prepared 11 November 1996
Foil 12 Central Difference Operator with error O(h2)
From CPS615-Basic PDE Solver Discussion and Sparse Matrix Formulation Delivered Lectures of CPS615 Basic Simulation Track for Computational Science -- 8 November 96. byGeoffrey C. Fox * Secs 247.6
Solve previous equation for 2nd derivative
Combine with similar equation in y direction
Backward difference operator and forward difference operator are O(h)
Higher order operators use more points on the grid (larger stencil) and are more accurate