[HTML][HTML] On Trigonometric Numerical Integrator for Solving First Order Ordinary Differential Equation

AA Obayomi, SO Ayinde, OM Ogunmiloro - Journal of Applied …, 2019 - scirp.org
Journal of Applied Mathematics and Physics, 2019scirp.org
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.
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.
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