Journal article
Reproducing kernel method for the numerical solution of the 1D Swift-Hohenberg equation
- Abstract:
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The Swift–Hohenberg equation is a nonlinear partial differential equation of fourth order that models the formation and evolution of patterns in a wide range of physical systems. We study the 1D Swift–Hohenberg equation in order to demonstrate the utility of the reproducing kernel method. The solution is represented in the form of a series in the reproducing kernel space, and truncating this series representation we obtain the n-term approximate solution. In the first approach, we aim to expl...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Accepted manuscript, pdf, 214.7KB)
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- Publisher copy:
- 10.1016/j.amc.2018.07.006
Authors
Bibliographic Details
- Publisher:
- Elsevier Publisher's website
- Journal:
- Applied Mathematics and Computation Journal website
- Volume:
- 339
- Pages:
- 132-143
- Publication date:
- 2018-08-01
- Acceptance date:
- 2018-07-01
- DOI:
- ISSN:
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0096-3003
Item Description
- Keywords:
- Pubs id:
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pubs:867611
- UUID:
-
uuid:b8022cb8-736b-44bb-ac32-28ca4e63d39f
- Local pid:
- pubs:867611
- Source identifiers:
-
867611
- Deposit date:
- 2018-07-11
Terms of use
- Copyright holder:
- Elsevier Inc
- Copyright date:
- 2018
- Notes:
- © 2018 Elsevier Inc. This is the accepted manuscript version of the article. The final version is available online from Elsevier at: https://doi.org/10.1016/j.amc.2018.07.006
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