Alternative Variational Iteration Elzaki Transform Method for Solving Time-Fractional Generalized Burgers-Fisher Equation in Porous Media Flow Modeling

IF 2.1 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2025-03-05 DOI:10.1002/mma.10848

Jyoti U. Yadav, Twinkle R. Singh

引用次数: 0

Abstract

In this paper, we have studied the time-fractional generalized Burgers-Fisher equation, which has applications in turbulence modeling, image processing, and biology. A new method called the alternative variational iteration Elzaki transform method (AVIETM) has been used to achieve the results. We employed the proposed method to obtain a solution for the time-fractional generalized Burgers-Fisher equation. The convergence and uniqueness of the solutions for the proposed method have been analyzed and discussed. The validity of the AVIETM is shown by numerical simulation and graphs. The method's accuracy have been shown by comparing the results to exact for various values of the fractional order. The obtained results demonstrate that the proposed AVIETM method is straightforward, highly accurate, and efficient.

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多孔介质流动模型中求解时间分数型广义Burgers-Fisher方程的交替变分迭代Elzaki变换方法

在本文中，我们研究了时间分数型广义Burgers-Fisher方程，它在湍流建模、图像处理和生物学中具有广泛的应用。一种新的方法被称为备选变分迭代Elzaki变换方法（avevom）被用于实现结果。我们利用所提出的方法得到了时间分数型广义Burgers-Fisher方程的一个解。对该方法解的收敛性和唯一性进行了分析和讨论。数值仿真和图形验证了该方法的有效性。通过对不同分数阶值的结果进行精确比较，证明了该方法的准确性。实验结果表明，该方法简单、准确、高效。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Methods in the Applied Sciences 数学-应用数学

CiteScore

4.90

自引率

6.90%

发文量

798

审稿时长

6 months

期刊介绍： Mathematical Methods in the Applied Sciences publishes papers dealing with new mathematical methods for the consideration of linear and non-linear, direct and inverse problems for physical relevant processes over time- and space- varying media under certain initial, boundary, transition conditions etc. Papers dealing with biomathematical content, population dynamics and network problems are most welcome. Mathematical Methods in the Applied Sciences is an interdisciplinary journal: therefore, all manuscripts must be written to be accessible to a broad scientific but mathematically advanced audience. All papers must contain carefully written introduction and conclusion sections, which should include a clear exposition of the underlying scientific problem, a summary of the mathematical results and the tools used in deriving the results. Furthermore, the scientific importance of the manuscript and its conclusions should be made clear. Papers dealing with numerical processes or which contain only the application of well established methods will not be accepted. Because of the broad scope of the journal, authors should minimize the use of technical jargon from their subfield in order to increase the accessibility of their paper and appeal to a wider readership. If technical terms are necessary, authors should define them clearly so that the main ideas are understandable also to readers not working in the same subfield.