求高手帮我翻译以下论文摘要,本人不胜感激!先谢谢了!

来源:百度知道 编辑:UC知道 时间:2024/05/28 15:30:22
在了解了用有限差分法求解Dirichlet边值问题的基础上,本文分析了如何用此方法来求解导数边界值问题。即针对导数边界值问题的微分方程建立适当的“差分格式”,进而导出差分方程组,再利用“追赶法”求解建立好的差分方程组,便可求得其离散解。求解过程需要借助Matlab数学软件,通过编写适当的程序并运行来完成。另外,本文也以一具体的导数边界值问题为研究对象,进行了数值试验,通过数值结果对比,并以图形的形式直观清晰地反映了试验结果。可以认为,在求解某些导数边界值问题时,相比较直接使用数值积分法而言,有限差分法更直观、更易理解。

In understanding the finite difference method with Dirichlet boundary value problems are analyzed in this paper, on the basis of how to use this method to solve the derivative boundary value problem. The boundary value problems for derivatives is the differential equation set up appropriate "difference", and thus difference equations, using "pursue" a good solution can be obtained, differential equations, the discrete solutions. Solving process is needed by Matlab mathematical software, by writing the appropriate procedures and operation to complete. In addition, this paper also with a specific derivative boundary value problem for research object, the numerical experiment, by contrast, and the numerical results in graphic form intuitive clearly reflect the test results. It can be said that in solving some derivative boundary value problems, compared with numerical method is used for direct finite difference method, the more intuitive, and easier to understand