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

被引：2

作者：

Bektas, Umut ^{[1
]}

Anac, Halil ^{[2
]}

机构：

[1] Gumushane Univ, Grad Educ Inst, Gumushane, Turkiye

[2] Gumushane Univ, Torul Vocat Sch, Gumushane, Turkiye

来源：

BOUNDARY VALUE PROBLEMS | 2024年 / 2024卷 / 01期

关键词：

Fractional differential equation; Newell-Whitehead-Segel equation; q-homotopy Shehu analysis transform method; Shehu transform; HOMOTOPY PERTURBATION METHOD; TRANSFORM; MODEL;

D O I：

10.1186/s13661-023-01795-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：13

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