Differential equations with initial value problems are widely used in many fields in real life,and the error analysis of their numerical solutions is particularly important.In this paper,it is pro-posed a class of differential equation of initial value problems is defined first-order homomoraphic dif-ferential equations.For the homomoraphic differential equations,the analysis of Lipschitz constant and different step lengths on the overall error are discussed by using the Euler formula method and the im-proved Euler formula method,and some examples are given to illustrate them.
关键词
同型微分方程/初值问题/利普西茨常数/误差分析
Key words
homomoraphic differential equations/initial value problem/Lipschitz constant/error analysis
维普
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