将拉普拉斯剩余功率序列方法调整为考德里·多德·吉本方程
Samy A Abdelhafeez1, Anas A M Arafa1,2, Yousef H Zahran3
1Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, Egypt.
Scientific reports
|April 29, 2024
概括
本研究介绍了拉普拉斯余数列方法来解决分数考德里·多德·吉本方程 (CDGE). 这种新的方法为科学和工程中的复杂现象建模提供了更快,更准确的解决方案.
科学领域:
- 应用数学 应用数学 应用数学
- 非线性动力学是一种非线性动力学.
- 分数微积分的计算.
背景情况:
- 非线性微分方程对于模拟现实世界现象至关重要.
- 考德里·多德·吉本方程 (CDGE) 描述了各种化学,物理和生物过程.
- 分数衍生品比整数顺序衍生品更具现实性和灵活性.
研究的目的:
- 提出和验证拉普拉斯剩余功率序列方法 (LRPSM) 解决分数考德里·多德·吉本方程 (fCDGE).
- 为了证明fCDGE的LRPSM的效率和准确性.
- 分析各种分数顺序的解决方案的行为.
主要方法:
- 该研究采用拉普拉斯剩余功率序列方法 (LRPSM).
- 该LRPSM是用来找到分数考德里·多德·吉本方程的分析解决方案.
- 数字模拟和图形表示用于展示结果.
主要成果:
- 拉普拉斯剩余功率序列方法为分数考德里·多德·吉本方程提供了高效和快速的解决方案.
- 该方法证明了快速收,产生准确的结果.
- 对不同分数顺序的结果的分析强调了该方法的稳定性.
结论:
- 拟议的拉普拉斯剩余功率序列方法是解决像fCDGE这样的分数非线性微分方程的可靠技术.
- 分数顺序模型为描述复杂系统提供了增强的现实主义.
- 对于应用数学和相关领域的研究人员来说,LRPSM是一个有希望的工具.
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