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
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
收藏
页数:13
相关论文
共 50 条