Scholarlink

<p>This study investigates a mathematical model of foam drainage, utilizing a fractional derivative within the Liouville–Caputo framework, to understand and forecast foam behavior. Fractional foam drainage models are of great important due to their capacity to predict change of liquid volume fraction in the foam with respect to time while incorporating memory and non-local properties. We investigate the impact of the fractional order by conducting numerical simulations for different values of order using the fractional reduced differential transform method. Furthermore, graphical presentations show the impact of different crucial model parameters on foam drainage problem. The convergence as well as error analysis of the problem are provided to support the computing. Using the proposed technique, this study found significant improvements in prediction accuracy.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Numerical simulation of foam drainage with fractional reduced differential transform method

  • 期刊论文

  • 发表日期：

    2026年3月2日

查看全文
  • Yogeshwari F. Patel,
  • Mohammad Izadi

摘要

This study investigates a mathematical model of foam drainage, utilizing a fractional derivative within the Liouville–Caputo framework, to understand and forecast foam behavior. Fractional foam drainage models are of great important due to their capacity to predict change of liquid volume fraction in the foam with respect to time while incorporating memory and non-local properties. We investigate the impact of the fractional order by conducting numerical simulations for different values of order using the fractional reduced differential transform method. Furthermore, graphical presentations show the impact of different crucial model parameters on foam drainage problem. The convergence as well as error analysis of the problem are provided to support the computing. Using the proposed technique, this study found significant improvements in prediction accuracy.