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

Publication Date: 10/10/2023

DOI: 10.52589/AJMSS-LXSUL0OO

Author(s): O. E. Ntekim, J. A. Ugboh, J. N. Ezeorah, U. P. Akra.
Volume/Issue: Volume 6, Issue 4 (2023)
Page No: 63-67
Journal: African Journal of Mathematics and Statistics Studies (AJMSS)

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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