一类“多项式型”初值问题的快速解法

The Quick Solving Methods on Analytic Solutions of Polynomial-Type Cauchy Problems

对有解析解的偏微分方程定解问题 ,利用计算机系统有多种方法获得问题的数值 (近似 )解 ,但却无法给出解析解 (有限函数形式解 ) .经过深入研究 ,我们得出了“多项式型”初值问题解析解的计算机解法 ,并给出Mathematica语言源程序 .

With a computer system, it is very easy that obtains numerical value solutions(e.g approximate solutions) on partial differential equations, but it is very hard that obtains analytic solutions on partial differential equations. We provide the Mathematica source program for you to find analytic solutions on the polynomial_type Cauchy problems.