三类典型数理方程的数值解方法探析
Analysis on Numerical Solution Methods of Three Typical Mathematical Equations

数学物理方程简称数理方程，主要指的是从具体物理问题中导出的偏微分方程。数理方程作为工科相关专业的一门专业基础课，掌握定解问题的数值求解方法对学生将来从事工程技术研究是非常必要的，而课程教学以求问题的解析解为主要内容。本文针对这一问题，以三类典型方程构成的定解问题为例，应用有限差分法讨论数值求解的思路和方法，以期能够作为主体教学内容的验证与拓展，起到启发解题思路的作用。
Mathematical equations mainly refer to the partial equations derived from physical problems. As a professional basic course of engineering related majors, mastering the numerical solution method is necessary for students to pursue their careers. However, the main content of the course is the analytic method. Therefore, three kinds of typical equations are taken as examples, to discuss the ideas and methods of numerical solution by using the finite difference method. As verification and expansion of the main content of teaching, it is hoped to play an enlightening role in solving problems.