用出埃及法分析时变问题

IEEE SoutheastCon 2008 Pub Date : 2008-04-03 DOI:10.1109/SECON.2008.4494314

M. Sadiku, C. Akujuobi, S. Musa, S. Nelatury

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引用次数: 3

摘要

蒙特卡罗方法以解决诸如拉普拉斯或泊松方程之类的静态问题而闻名。在本文中，我们扩展了传统蒙特卡罗方法在求解时间相关(热)问题中的适用性。我们将出埃及法应用于这些问题，它不像经典的蒙特卡罗方法那样受随机性的约束。我们在一维(1-D)和二维(2-D)中给出了与精确解一致的结果。

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Analysis of time-dependent problems using the Exodus method

The Monte Carlo method is well known for solving static problems such as Laplace's or Poisson 's equation. In this paper, we extend the applicability of the conventional Monte Carlo method to solve time-dependent (heat) problems. We apply the Exodus method to these problems, which is not subject to randomness, as are the classical Monte Carlo methods. We present results in one- dimensional (1-D) and two-dimensional (2-D) that agree with the exact solutions.

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IEEE SoutheastCon 2008

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