一个新的三角拟合四阶预估校正方法

A New Fourth Algebraic Order Trigonometrically Fitted Predictor-corrector Method for IVPs with Oscillating Solutions

以四阶预估校正方法为基础,利用三角拟合技术,得到一个新的三角拟合预估校正方法,给出了新方法的局部误差,并对误差做了分析,同时也给出新方法的稳定性区域.数值算例说明该方法较其它一些方法在处理周期性初值问题时具有明显的高效性.

A new method of trigonometrically fitted method was developed based on the fourth algebraic order predictor - corrector method. The local truncation error of the new method was analyzed, and the regions of absolute stability were given. Some numerical experiments show that the new method is more efficient than some other methods when dealing with initial value problems with oscillating scheme.