符号—数值混合方法求解偏微分方程的算法设计与实现

The Algorithm Design of Symbolic-numerical Method to Solve the Partial Differential Equations and its Computation Machanization

本文作出了将符号计算方法和数值计算方法结合起来求解偏微分方程的研究工作,这是求解比较复杂的偏微分方程的新途径。本文的意义在于给出求解复杂的偏微分方程的新思维和新方法。在求解过程中,运用了计算机代数的有关知识并且借助了计算机代数系统中的Maple和Matlab软件,求解过程简易可行。

In this paper, we give the method of solving the partial differential equations with the combine use of symbolic and numerical method, which is a new way of solving the extremely complicated partial differential equations. Its significance is to conduct us to seek for the new idea and new sight of solving the complicated partial differential equations. In the process of solving, we use the computer algebra knowledge and Maple/Matlab software of computer systems, which makes the process of computation simple and practicable.