Self–similar numerical solutions of the porous–medium equation using moving mesh methods
Self–similar numerical solutions of the porous–medium equation using moving mesh methods
复制标题
使用移动网格方法的多孔介质方程的自相似数值解
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
R. Russell
中科院分区：
文献类型：
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作者：
C. Budd;G. J. Collins;Weizhang Huang;R. Russell
本文研究了利用对称性研究偏微分方程组的自适应网格方法的综合。特别是，它考虑了允许离散自相似解的方法，检查这些方法的收敛到真正的自相似解以及它们的稳定性。对描述多孔介质中流动的非线性扩散方程给予了特别关注。
This paper examines a synthesis of adaptive mesh methods with the use of symmetry to study a partial differential equation. In particular, it considers methods which admit discrete self–similar solutions, examining the convergence of these to the true self–similar solution as well as their stability. Special attention is given to the nonlinear diffusion equation describing flow in a porous medium.