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

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 efficiency of oil workers.