ABSTRACT
The preceding methods, e.g., the (1, 2), (2, 4) and (4, 5) RK pairs, can be applied to PDEs by using the numerical method of lines. Briefly, the spatial (boundary value) derivatives in the PDEs are replaced with algebraic approximations, typically finite differences. The resulting equations are ODEs in the initial value variable, previously designated t, so that we have an initial value problem in ODEs. This is exactly the problemwe considered in Chapters 1 through 3.
