解决分数阶纽厄尔-怀特海-西格尔方程的混合方法

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-03-18 DOI:10.1186/s13661-023-01795-2

Umut Bektaş, Halil Anaç

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引用次数: 0

摘要

本文利用谢胡变换结合 q-同调分析变换法（q-HATM）求解分数微分方程。由于谢胡变换只适用于线性方程，q-HATM 是一种近似非线性微分方程解的有效技术。在解释二维系统中条纹出现的非线性系统中，Newell-Whitehead-Segel 方程起着重要作用。研究结果表明，与现有文献中的 LTDM 相比，从表格中得出的结果更优越。利用枫树图来描绘三维表面，并找出显示在表格中的数值。

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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A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation

This paper solves fractional differential equations using the Shehu transform in combination with the q-homotopy analysis transform method (q-HATM). As the Shehu transform is only applicable to linear equations, q-HATM is an efficient technique for approximating solutions to nonlinear differential equations. In nonlinear systems that explain the emergence of stripes in 2D systems, the Newell–Whitehead–Segel equation plays a significant role. The findings indicate that the outcomes derived from the tables yield superior results compared to the existing LTDM in the literature. Maple is utilized to depict three-dimensional surfaces and find numerical values that are displayed in a table.

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来源期刊

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.