扩散方程基本解的积分处理

扩散方程基本解的积分处理 ON THE ANALYTICAL TREATMENT OF DIFFUSIONFUNDAMENTAL SOLUTION 冯振兴 Feng Zhenxing 1 first-author 李正秀 Li Zhengxiu 1 唐少武 Tang Shaowu 1 武汉大学数学系 武汉大学数学系 Department of Mathematics ,Wuhan University Department of Mathematics ,Wuhan University 详细讨论了时间相关热交换问题扩散方程基本解的时间积分特性，给出了完整的解析处理及相应级数展开表达式，并提出采用按时段构造的时间单元局部化基本解作为边界元法的加权函数，从而显著减少可动边界问题边界元解法的存贮量和计算时间。 The diffusion fundamental solution for transient heat transfer problem and its integral behavior are discussed in this paper. The complete analytical formulation and corre- spending series expansion are presented. Then a local defined time dependent fundamental so- lotion is introduced in a time step as the weighted function in BEM scheme ,so that the com- putational storage and CPU time could be reduced considerably. 扩散算子 基本解 指数积分 瞬时传热边界元 相变边界 O175.2 国家自然科学基金(61672102) 1997-03-01 2021-04-01 3