[HTML][HTML] Stability analysis of a numerical integrator for solving first order ordinary differential equation

SO Ayinde, AA Obayomi, FS Adebayo - Journal of applied Mathematics …, 2017 - scirp.org
SO Ayinde, AA Obayomi, FS Adebayo
Journal of applied Mathematics and Physics, 2017scirp.org
In this paper, we used an interpolation function to derive a Numerical Integrator that can be
used for solving first order Initial Value Problems in Ordinary Differential Equation. The
numerical quality of the Integrator has been analyzed to authenticate the reliability of the
new method. The numerical test showed that the finite difference methods developed
possess the same monotonic properties with the analytic solution of the sampled Initial
Value Problems.
In this paper, we used an interpolation function to derive a Numerical Integrator that can be used for solving first order Initial Value Problems in Ordinary Differential Equation. The numerical quality of the Integrator has been analyzed to authenticate the reliability of the new method. The numerical test showed that the finite difference methods developed possess the same monotonic properties with the analytic solution of the sampled Initial Value Problems.
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