二阶线性齐次微分方程边值问题相似构造解的应用及Matlab图版分析  

Application and analysis of Matlab programming of the similar structuring solution of boundary value problems of second-order linear homogeneous differential equation

作　　者：刘爱华[1] 李顺初[2] 

机构地区：[1]乐山职业技术学院,四川乐山614000 [2]西华大学应用数学研究所,四川成都610039

出　　处：《纯粹数学与应用数学》2015年第4期350-359,共10页Pure and Applied Mathematics

基　　金：国家科技重大专项项目(2008ZX50443-14);西华大学重点学科-应用数学(XZD0910-09-1)

摘　　要：在二阶线性齐次微分方程边值问题相似构造解式的基础上,首先利用相似构造法求解Bessel方程和变型的Bessel方程边值问题的解,然后建立了均质油藏的渗流规律的数学模型,再将均质油藏的渗流数学模型转换成变型的Bessel方程的边值问题,利用二阶线性齐次微分方程边值问题的相似构造法求解均质储层渗流的数学模型.最后通过Matlab编程进行图版分析,展示实例的函数解.这将极大地方便试进分析软件的编制,也提高了石油工作者的效率.Based upon the similar structuring solution boundary value problems of second-order linear homo-geneous differential equation, we first use the similar structuring solution to solve the boundary value problems of Bessel equation and modified Bessel equation, and then build mathematics models of seepage flow law in homogeneous reservoir and transform it into the boundary value problem of modified Bessel equation, and use the similar structuring solution to solve mathematics models. Finally, function solution is shown through a plate used Matlab programming examples. It is convenient to design well test analysis program and improve the e？ciency of oil workers.

关 键 词：BESSEL方程 均质油藏 MATLAB编程 图版展示 

分 类 号：O175[理学—数学]