An Analytical View of Nonlinear Fractional Burger’s Equations Using Conformable Double Elzaki Transform

IF 1.9 3区 数学 Q1 MATHEMATICS Journal of Function Spaces Pub Date : 2023-11-24 DOI:10.1155/2023/9053616
Eltaib M. Abd Elmohmoud, Mohamed Z. Mohamed, M. Magzoub, Alla Mahmoud Elsheikh
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Abstract

The conformable double Elzaki composition technique (CDET) and the Adomian decomposition technique are combined in this work to provide a novel approach for dealing with nonlinear partial issues under certain specified conditions. The conformable double Elzaki composition (CDEC) approach is the name we give to this novel technique. We also outline and discuss the main traits and major conclusions connected to the recommended technique. The new technique provides an estimated succession of answers that finally get close to the exact solution. This method has the advantage of generating findings rapidly since it generates analytical series solutions for the target equations without the requirement for discretization, transformation, or limited assumptions. We also present some numerical applications to back up our conclusions. The results demonstrate the strength and potency of the recommended strategy in dealing with a variety of problems in the fields of engineering and physics in symmetry with other strategies.
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用适形二重Elzaki变换解析非线性分数阶Burger方程
本文将符合双Elzaki合成技术(CDET)与Adomian分解技术相结合,为处理特定条件下的非线性偏问题提供了一种新的方法。我们给这种新技术起了个名字,叫适形双Elzaki合成法(CDEC)。我们还概述和讨论了与推荐技术相关的主要特征和主要结论。新技术提供了一个估计的答案序列,最终接近确切的解决方案。该方法具有快速生成结果的优点,因为它可以生成目标方程的解析级数解,而不需要离散化、变换或有限的假设。我们还提出了一些数值应用来支持我们的结论。结果表明,所推荐的策略在处理工程和物理领域的各种问题时具有与其他策略对称的优势和潜力。
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来源期刊
Journal of Function Spaces
Journal of Function Spaces MATHEMATICS, APPLIEDMATHEMATICS -MATHEMATICS
CiteScore
4.10
自引率
10.50%
发文量
451
审稿时长
15 weeks
期刊介绍: Journal of Function Spaces (formerly titled Journal of Function Spaces and Applications) publishes papers on all aspects of function spaces, functional analysis, and their employment across other mathematical disciplines. As well as original research, Journal of Function Spaces also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.
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