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Extensions of a New Algorithm for the Numerical Solution of Linear Differential Systems on an Infinite Interval

B. M. Brown, M. S. P. Eastham, D. K. R. McCormack

math.SParXiv:math/9801056

Abstract

This paper is part of a series of papers in which the asymptotic theory and appropriate symbolic computer code are developed to compute the asymptotic expansion of the solution of an n-th order ordinary differential equation. The paper examines the situation when the matrix that appears in the Levinson expansion has a double eigenvalue. Application is made to a fourth-order ODE with known special function solution.

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