热传导问题中分离变量法与数值计算方法的比较分析
nalysis and Comparison of Separating Variable Method and Numerical Computation
在介绍圆柱坐标系中分离变量法求解热传导方程的基本概念基础上，用结构化网格，对非稳态热传导问题，同时进行数值解和精确解的求解计算。通过比较计算结果，得到了令人满足的一致性。这些充分证明了分离变量法的可靠性和实用性。
hough introducing the basic conception, the unsteady state heat conduction equations were solved with the separating variable method and calculated using the finite volume method in structured meshes. The exact solutions obtained from mathematical method were compared with these calculation results. As a result, there is a good agreement between them. These proved that separating variable method is believable and practical.
张敏、刘松、张钧波、许彬
物理学数学工程基础科学
分离变量法，数值解，精确解
Separating variable method numerical solution exact solution.
张敏,刘松,张钧波,许彬.热传导问题中分离变量法与数值计算方法的比较分析[EB/OL].(2007-11-22)[2025-08-21].http://www.paper.edu.cn/releasepaper/content/200711-455.点此复制
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