一个创新的分区聚合算法,用于与非均的热扩散度的导热方程
Syeda Tehmina Ejaz1, Safia Malik2, Jihad Younis3
1Department of Mathematics, The Government Sadiq College Women University, Bahawalpur, 63100, Pakistan. syedatehmina.ejaz@gscwu.edu.pk.
Scientific reports
|October 8, 2024
概括
一个新的分区拼接算法准确地解决了不同热扩散率的热传导方程. 这种数值方法比现有的热传递问题的方法提高了精度.
科学领域:
- 数字分析 数字分析
- 热传递是一种热传递.
背景情况:
- 准确的数值解决方案对于理解传热现象至关重要.
- 不均的热扩散率在传统建模中带来了重大挑战.
- 现有的数值方法对于复杂的热场景可能缺乏足够的准确性.
研究的目的:
- 为解决传热方程引入一种新的细分分类聚合算法.
- 为了解决不均的热扩散带来的复杂性.
- 验证和证明拟议的数值方法的卓越准确性.
主要方法:
- 分区拼接算法将传热方程转换为一个方程系统.
- 时间变量的分离是使用有限差公式进行的.
- 该算法的可行性通过理论分析和数值模拟得到证实.
主要成果:
- 拟议的算法成功地获得了热传导方程的数值解.
- 理论和数值分析验证了算法的可行性.
- 与现有方法的比较表明,拟议的算法实现了更高的准确性.
结论:
- 分区拼接算法提供了一种准确有效的方法来解决具有非均热扩散性的传热问题.
- 该方法在现有技术上表现出卓越的性能.
- 这些发现为先进的热传递分析提供了有价值的工具.
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