ABSTRACT

PDEs. this point, the presentation splits into a discussion of four major types of finite difference methods for solving hyperbolic PDEs: (1) the FTCS and Lax methods, (2) Lax-Wendrofftype methods, (3) upwind methods, and (4) the BTCS method. Following these four sections, a brief discussion of nonlinear PDEs and multidimensional problems is presented. An introduction to the numerical solution of the wave equation follows. Several programs for solving the simple convection equation are then presented. The chapter ends with a summary.