On Trigonometric Numerical Integrator for Solving First Order Ordinary Differential Equation

• 作者: A. A. Obayomi O. M. Ogunmiloro S. O. Ayinde
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: NUMERICAL INTEGRATOR Ordinary Differential Equation INITIAL Value Problems Stability Analysis NONSTANDARD METHODS INTERPOLATION METHODS
• 年，卷（期）: 2019,（11）
• 页码范围: 2564-2578
• 页数: 15页
• 分类号: O17

摘要

In this paper, we used an interpolation function with strong trigonometric components to derive a numerical integrator that can be used for solving first order initial value problems in ordinary differential equation. This numerical integrator has been tested for desirable qualities like stability, convergence and consistency. The discrete models have been used for a numerical experiment which makes us conclude that the schemes are suitable for the solution of first order ordinary differential equation.