Error Analysis of Numerical Solution for a Class of Differential Equations
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.
homomoraphic differential equationsinitial value problemLipschitz constanterror analysis
万方数据
维普
