一般差分方程的求解方法  

Solving Methods of General Difference Equation

作　　者：孙建新[1] SUN Jianxin(Department of Mathematics,Shaoxing University,Shaoxing,Zhejiang 312000)

机构地区：[1]绍兴文理学院数学系,浙江绍兴312000

出　　处：《绍兴文理学院学报》2021年第4期110-116,共7页Journal of Shaoxing University

摘　　要：差分方程的求解在数学建模中有重要应用,但是求解计算量大、过程复杂.研究差分方程的求解很有必要.本文建立了与常微分方程求解平行的方法,列举了若干差分方程本身特有的十种方法,对每种解法给出相应的应用实例.The solution of difference equation is vitally applicable in mathematical modeling,but with much calculation in its complex solving process.It is therefore necessary to study the solution of difference equation.In this paper,as a parallel method for solving ordinary differential equations,the ten methods peculiar to some difference equations are enumerated,corresponding application examples given for each solution.

关 键 词：差分方程 和分法 特征根法 递推法 

分 类 号：O15[理学—数学]