Some examples of Swift-Hohenberg equation

被引：0
|
作者：
Jani, Haresh P. [1 ]
Singh, Twinkle R. [1 ]
机构：
[1] Sardar Vallabhbhai Natl Inst Technol, Dept Math & Humanities, Surat 395007, Gujarat, India
来源：
EXAMPLES AND COUNTEREXAMPLES | 2022年 / 2卷
关键词：
Swift-Hohenberg (S-H) equation; Partial differential equation; Homotopy perturbation method; Aboodh transform;
D O I：
10.1016/j.exco.2022.100090
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we solve partial differential equations using the Aboodh transform and the homotopy perturbation method (HPM). The Swift-Hohenberg equation accurately describes pattern development and evolution. The Swift-Hohenberg (S-H) model is linked to fluid dynamics, temperature, and thermal convection, and it can be used to describe how liquid surfaces with a horizontally well-conducting boundary form.
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