五维波动问题的一种解法

A Solution for the Problem of the Five-dimensional Wave Equation

介绍解五维波动问题的微分算子级数法,首先引进数性算子概念及微分算子级数法;其次,推导出了求解公式;最后通过求解公式求解了一些五维波动方程的例题,得出任何维数(n≥5)的波动方程柯西问题都可以用微分算子级数法求其解。

There is no way and the direct discrete formulation of the solution for the problem of the five-dimensional wave equation. In this paper, a solution of the five-dimensional wave equation by Differentiator Series Method is presented. At the beginning of the paper, the concept of Numeral Properties Operator and the Differentiator Series Method are introduced, and then the solution formulations are deduced. Finally, examples, which are solved by the formulations, are given.