ABSTRACT

There are a multitude of engineering problems that can be expressed in terms of

partial differential equations (PDEs) – that is, differential equations where partial

rather than full derivatives are employed. Some examples include:

• flow through porous media;

• flow under dams;

• heat conduction on plates and wires;

• stresses in underground excavations;

• waves on water (Figure 15.1), vibrating strings;

• ocean wave energy growth and dissipation;

• sediment transport in rivers and on the coast;

• global weather forecasting;

• dispersion, smoke stacks.