数字调查二维模糊分数热问题与外部源变量
Muhammad Nadeem1, Saad H Alotaibi2, Fawziah M Alotaibi3
1School of Mathematics and Statistics, Qujing Normal University, Qujing, China.
PloS one
|June 21, 2024
概括
研究人员开发了一种新的Sawi余电量序列方案 (SRPSS),用于解决模糊的分数热方程. 这种方法提供了模糊分析解决方案的快速融合和高效计算.
科学领域:
- 数字分析 数字分析
- 应用数学 应用数学 应用数学
- 数学物理学的数学物理.
背景情况:
- 模糊的分数局部微分方程对于模拟复杂现象至关重要.
- 解决这些问题的现有方法可能是计算密集的.
- 需要有效和强大的分析解决方案技术.
研究的目的:
- 为解决二维模糊分数顺序热问题提出并验证萨维余功率序列方案 (SRPSS).
- 证明该方案能够有效地推导出模糊分析解决方案的能力.
- 分析模糊分数热问题的物理行为.
主要方法:
- 该研究介绍了萨维余电量序列方案 (SRPSS),结合了萨维变换和余电量序列方法.
- 在该方案中使用卡普托微分差运算符.
- 提出了三个不同的例子来说明SRPSS的应用和有效性.
主要成果:
- SRPSS提供了模糊的分析解决方案,其特点是快速收.
- 未知系数很容易用极限在无限概念来确定.
- 与传统方法相比,该方案显著减少了计算时间.
结论:
- SRPSS是一种强大的和有价值的技术,用于近似解决模糊分数问题的解决方案.
- 该方法为现有的分析方法提供了有效的替代方案.
- 2D和3D表示可视化了模糊分数热问题的物理行为.
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