Extensions of a New Algorithm for the Numerical Solution of Linear Differential Systems on an Infinite Interval
Spectral Theory
2025-10-20 v1 Numerical Analysis
Numerical Analysis
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.
Cite
@article{arxiv.math/9801056,
title = {Extensions of a New Algorithm for the Numerical Solution of Linear Differential Systems on an Infinite Interval},
author = {B. M. Brown and M. S. P. Eastham and D. K. R. McCormack},
journal= {arXiv preprint arXiv:math/9801056},
year = {2025}
}