基于Heronian均值的正交算法解常微分方程初值问题

Bazuaye Frank Etin-Osa
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引用次数: 0

摘要

多年来,正交算法作为求解常微分方程初值问题的一种方法,与其他已知的方法相比,精度较低。然而,已经表明,该方法表现良好时,适用于中等僵硬的问题。本文提出了一种求解初值问题的基于函数值的赫氏均值的非线性方法。稳定性研究与已知的梯形法一致。
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Solution of an Initial Value Problemin Ordinary Differential Equations Using the Quadrature Algorithm Based on the Heronian Mean
Over the years, the Quadrature Algorithm as a method of solving initial value problems in ordinary differential equations is known to be of low accuracy compared to other well known methods. However, It has been shown that the method perform well when applied to moderately stiff problems. In this present study, the nonlinear method based on the Heronian Mean (HeM), of the function value for the solution of initial value problems is developed. Stability investigation is in agreement with the known Trapezoidal method.
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