On Asymptotic Solutions of Higher-Order Boundary Value Problems
Raya Khanin
Abstract. This paper presents an algorithm for finding asymptotic solutions to singularly perturbed higher-order boundary value problems. The main idea is to regard an $n$-th order problem as the combination of an initial value problem and a singularly perturbed second order boundary value problem for which an extensive theory exists. An algorithm for finding asymptotic solutions is implemented in Mathematica. It is illustrated by two worked examples.
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