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.

引用

页数：16

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