非定常扩散方程的虚边界元解法  

VIRTUAL BOUNDARY ELEMENT METHOD FOR UNSTEADY DIFFUSION EQUATION

作　　者：汪学海[1] 吴胤林[2] 

机构地区：[1]平顶山工学院数理系,河南平顶山467000 [2]重庆大学数理学院,重庆400030

出　　处：《北京工商大学学报（自然科学版）》2008年第6期73-76,共4页Journal of Beijing Technology and Business University:Natural Science Edition

摘　　要：对于二维齐次和非齐次非定常扩散方程问题,利用与时间有关的基本解,基于单层位势的延拓,建立虚边界积分方程,然后用虚边界元法求解.最后,给出了数值算例验证了虚边界元法求解非定常扩散方程问题的可行性和有效性.The second-dimensional homogeneous and nonhomogeneous unsteady diffusion equation is solved. By adopting time-dependent fundamental solution and the extension of single potential, virtual boundary integral expression is established. Then virtual boundary element method is used to implement the numerical computation. Finally, numerical examples illustrate the feasibility and the efficiency of the proposed method.

关 键 词：非定常扩散方程 虚边界元 单层位势 

分 类 号：O241.82[理学—计算数学]