Thus, this is an example of using the method of matched asymptotic expansions to satisfy the given initial condition by the long-distance approximation of the solution to a nonsingular partial ...

Introductory course on using a range of finite-difference methods to solve initial-value and initial-boundary-value problems involving partial differential equations. The course covers theoretical ...

SIAM Journal on Applied Mathematics, Vol. 48, No. 6 (Dec., 1988), pp. 1227-1243 (17 pages) The aim of this paper is to contribute to the foundation of the asymptotic methods for initial-boundary value ...

Technical Terms Boundary Value Problem: A mathematical problem in which a differential equation must be solved subject to specific conditions at the boundaries of the domain.

To solve an equation using iteration, start with an initial value and substitute this into the iteration formula to obtain a new value, then use the new value for the next substitution, and so on.