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

作　　者：Lei Zhang Chaofeng Zhang Mengya Liu 

机构地区：[1]School of Physics and Electronics Henan University,Kaifeng,Henan 475004,P.R.China

出　　处：《International Journal of Modeling, Simulation, and Scientific Computing》2020年第1期42-57,共16页建模、仿真和科学计算国际期刊（英文）

基　　金：supported by the National Natural Science Foundation of China Under Grant No.61773008.

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.

关 键 词：Numerical method variable step size variable order hermite interpolation ordinary differential equations 

分 类 号：O17[理学—数学]