ABSTRACT

Delay ordinary differential equation (DODE) examples demonstrate: the computer implementation of the DODEs and some properties of the numerical solutions, particularly the effect of the delays. In this chapter, the first DODE example is extended to a delay partial differential equation (DPDE). The computer implementation of the DPDE is discussed in detail, and the numerical solutions for several cases are presented. The three basic forms of boundary conditions (BCs), Dirichlet, Neumann, Robin, are examined as the cases. Physically, these nonlinear BCs can be considered to model radiation at the boundaries.