解振荡微分方程的三角拟合三阶线性多步法

A Third Algebraic Order Trigonometrically Fitted Linear Multistep Method for IVPs with Oscillating Solutions

以原始的三阶Adams-Bashforth线性多步法为基础,利用三角拟合技术,得到了解振荡问题的三阶三角拟合Adams-Bashforth方法,同时给出了新方法的稳定性区域,数值实验的结果表明新方法具有有明显的高效性.

A trigonometrically fitted Adams - Bashforth method is developed in this paper, this method is based on the third al- gebraic order Adams - Bashforth method for initial value problems with oscillating solutions. We analyze stability characteristics of the new method, and the numerical expetiments show that the new derived method is more efficient than some recent well - known methods.