ABSTRACT

The pdepe solver used to solve transient space-one-dimensional partial differential equations (PDEs) is described. The solver-required forms of PDEs, initial and boundary conditions are presented. It shows how to represent various types of PDEs and boundary conditions in standard forms. The presented engineering applications contain programs and studies that extend the material required to apply the pdepe solver. In particular, applications include: transient 1D diffusion PDE with Neumann boundaries and piecewise initial conditions, pipe flow equation, Bateman-Burger PDE, and coupled PDEs in action potential model that includes the diffusion term.