变分多步法求解阻尼振荡方程

Jurnal Neutrino Pub Date : 2018-01-15 DOI:10.18860/NEU.V10I1.4399

Riza Ibnu Adam, S. Susilawati, Adhi Rizal

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引用次数: 0

摘要

本文旨在确定阻尼振动方程解析解的数值方法的准确性。采用四阶Adams法、Milne法和Adams- simpson法求数值解。由四阶龙格-库塔法求得的y(1)、y(2)、y(3)的值。并将其作为多步法的初始值。然后，将数值解与解析解进行了比较。研究结果表明，四阶Adams方法具有最好的精度。

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VARIATIONAL MUTI-STEPS METHOD TO SOLVE DAMPED OSCILLATION EQUATION

This paper aims to identifying the numerical method accuracy of the analytical solution of the damped oscillation equation motion. Adams method of 4th order, Milne method and Adams-Simpson method are used to find numerical solutions. Value of y(1) , y(2) , y(3) obtained from The 4th order Runge-Kutta method. They used as initial value of multistep method. Then, the numerical solution result was compared with analytical solution. From the research result, it is found that 4th order Adams method has the best accuracy.

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Jurnal Neutrino

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