| 非定常扩散方程的虚边界元解法 |
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| 引用本文： | 汪学海,吴胤林.非定常扩散方程的虚边界元解法[J].北京工商大学学报(自然科学版),2008,26(6). |
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| 作者姓名： | 汪学海 吴胤林 |
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| 作者单位： | 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 |
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| 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.
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| 关 键 词： | 非定常扩散方程 虚边界元 单层位势 |
VIRTUAL BOUNDARY ELEMENT METHOD FOR UNSTEADY DIFFUSION EQUATION |
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| WANG Xue-hai,WU Yin-lin.VIRTUAL BOUNDARY ELEMENT METHOD FOR UNSTEADY DIFFUSION EQUATION[J].Journal of Beijing Technology and Business University:Natural Science Edition,2008,26(6). |
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| Authors: | WANG Xue-hai WU Yin-lin |
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| Abstract: | 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. |
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| Keywords: | unsteady diffusion equation virtual boundary element single layer potential |
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