Variable-step-size second-order-derivative multistep method for solving first-order ordinary differential equations in system simulation

被引：1
作者：
Zhang, Lei [1 ]
Zhang, Chaofeng [1 ]
Liu, Mengya [1 ]
机构：
[1] Henan Univ, Sch Phys & Elect, Kaifeng 475004, Henan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING | 2020年 / 11卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Numerical method; variable step size; variable order; hermite interpolation; ordinary differential equations; IMPLEMENTATION;
D O I：
10.1142/S1793962320500014
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
According to the relationship between truncation error and step size of two implicit second-order-derivative multistep formulas based on Hermite interpolation polynomial, a variable-order and variable-step-size numerical method for solving differential equations is designed. The stability properties of the formulas are discussed and the stability regions are analyzed. The deduced methods are applied to a simulation problem. The results show that the numerical method can satisfy calculation accuracy, reduce the number of calculation steps and accelerate calculation speed.
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页数：16
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