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前言要得到某些类型的调和边值问题的数值解,积分方程所提供的方法是已知的最精确最有效的方法之一。这种方法比较准确而有效的主要原因之一是拉普拉斯方程及边界条件在求解时被简化为单个的积分方程式的求解。该方程式中的未知数和原来的边值问题中的未知数相比较,前者的未知数是减少了一个变量的函数。例如,二维问题被简化为一维积分方程的求解。这样,只要建立一组含有N个未知数的联立方程组,反之,不论用有限差分法或有限单
Introduction To obtain numerical solutions to some types of harmonic boundary value problems, the method provided by the integral equation is one of the most accurate and effective methods known. One of the main reasons why this method is more accurate and effective is that the Laplacian equations and boundary conditions are reduced to a single integral equation when solving. The unknown in this equation is compared with the unknown in the original boundary value problem. The former’s unknown is a function that reduces one variable. For example, the two-dimensional problem is reduced to the solution of a one-dimensional integral equation. In this way, as long as a set of simultaneous equations with N unknowns is established, on the contrary, regardless of whether finite difference method or finite