Well-Conditioned and Ill Conditioned Linear First Order Initial Value Problems in Ordinary Differential Equation

O. E. Ntekim; J. A. Ugboh; J. N. Ezeorah; U. P. Akra

doi:10.52589/AJMSS-LXSUL0OO

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Well-Conditioned and Ill Conditioned Linear First Order Initial Value Problems in Ordinary Differential Equation

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African Journal of Mathematics and Statistics Studies

Vol. 6Issue 42023pp. 63–67Published 10 October 2023

DOI 10.52589/AJMSS-LXSUL0OO

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Abstract:

We construct a linear first order ordinary differential equation with the parameter λ. We show that our constructed equation is well conditioned for λ 0. We also state and prove some related theorems.

Keywords:Well-conditioned Ill conditioned Initial value problem Differential equation Linear differential equation.

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Copyrights

Authors retain copyright in their articles and have unrestricted rights to reuse, republish, archive, share, and distribute their work after publication.
All articles are published open access under the Creative Commons Attribution 4.0 International (CC BY 4.0) licence, which permits use, sharing, adaptation, distribution, and reproduction in any medium or format, including for commercial purposes, provided appropriate credit is given to the original author(s) and source.