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 ...

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.

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 ...