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arXiv 1908.09500physics.comp-phphysics.flu-dyn
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求解热传导方程的一阶稳定显式新方法

New stable, explicit, first order method to solve the heat conduction equation

Endre Kovács

摘要:

我们引入了一种新的显式和稳定的数值算法来解决空间离散的热或扩散方程。我们比较了新方法的性能与解析解和数值解。我们表明,该方法是一阶的时间,可以得到近似的结果非常大的系统比常用的显式或隐式方法。

英文摘要:

We introduce a novel explicit and stable numerical algorithm to solve the spatially discretized heat or diffusion equation. We compare the performance of the new method with analytical and numerical solutions. We show that the method is first order in time and can give approximate results for extremely large systems faster than the commonly used explicit or implicit methods.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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