Some examples of Swift–Hohenberg equation
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 conv...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-11-01
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| Series: | Examples and Counterexamples |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666657X22000234 |
| _version_ | 1811295539108511744 |
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| author | Haresh P. Jani Twinkle R. Singh |
| author_facet | Haresh P. Jani Twinkle R. Singh |
| author_sort | Haresh P. Jani |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T05:35:02Z |
| format | Article |
| id | doaj.art-997bff019b9c44a5bb72b2ebddc6e417 |
| institution | Directory Open Access Journal |
| issn | 2666-657X |
| language | English |
| last_indexed | 2024-04-13T05:35:02Z |
| publishDate | 2022-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Examples and Counterexamples |
| spelling | doaj.art-997bff019b9c44a5bb72b2ebddc6e4172022-12-22T03:00:19ZengElsevierExamples and Counterexamples2666-657X2022-11-012100090Some examples of Swift–Hohenberg equationHaresh P. Jani0Twinkle R. Singh1Corresponding author.; Department of Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat 395007, Gujarat, IndiaDepartment of Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat 395007, Gujarat, IndiaIn 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.http://www.sciencedirect.com/science/article/pii/S2666657X22000234Swift–Hohenberg (S–H) equationPartial differential equationHomotopy perturbation methodAboodh transform |
| spellingShingle | Haresh P. Jani Twinkle R. Singh Some examples of Swift–Hohenberg equation Examples and Counterexamples Swift–Hohenberg (S–H) equation Partial differential equation Homotopy perturbation method Aboodh transform |
| title | Some examples of Swift–Hohenberg equation |
| title_full | Some examples of Swift–Hohenberg equation |
| title_fullStr | Some examples of Swift–Hohenberg equation |
| title_full_unstemmed | Some examples of Swift–Hohenberg equation |
| title_short | Some examples of Swift–Hohenberg equation |
| title_sort | some examples of swift hohenberg equation |
| topic | Swift–Hohenberg (S–H) equation Partial differential equation Homotopy perturbation method Aboodh transform |
| url | http://www.sciencedirect.com/science/article/pii/S2666657X22000234 |
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