A numerical solution for nonlinear heat transfer of fin problems using the Haar wavelet quasilinearization method
The aim of this paper is to study the new application of Haar wavelet quasilinearization method (HWQM) to solve one-dimensional nonlinear heat transfer of fin problems. Three different types of nonlinear problems are numerically treated and the HWQM solutions are compared with those of the other met...
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| Format: | Article |
| Language: | English English English |
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Elsevier
2019
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| Online Access: | http://irep.iium.edu.my/72659/ http://irep.iium.edu.my/72659/7/72659%20A%20numerical%20solution%20for%20nonlinear%20heat%20transfer%20of%20fin%20problems.pdf http://irep.iium.edu.my/72659/13/72659_A%20numerical%20solution%20for%20nonlinear%20heat%20transfer%20of%20fin%20problems%20using%20the%20Haar%20wavelet%20quasilinearization%20method_SCOPUS.pdf http://irep.iium.edu.my/72659/19/72659_A%20numerical%20solution%20for%20nonlinear%20heat%20transfer_wos.pdf |
| _version_ | 1848787655337181184 |
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| author | Mt Aznam, Suazlan Che Ghani, Nor Artisham Chowdhury, Md. Sazzad Hossien |
| author_facet | Mt Aznam, Suazlan Che Ghani, Nor Artisham Chowdhury, Md. Sazzad Hossien |
| author_sort | Mt Aznam, Suazlan |
| building | IIUM Repository |
| collection | Online Access |
| description | The aim of this paper is to study the new application of Haar wavelet quasilinearization method (HWQM) to solve one-dimensional nonlinear heat transfer of fin problems. Three different types of nonlinear problems are numerically treated and the HWQM solutions are compared with those of the other method. The effects of temperature distribution of a straight fin with temperature-dependent thermal conductivity in the presence of various parameters related to nonlinear boundary value problems are analyzed and discussed. Numerical results of HWQM gives excellent numerical results in terms of competitiveness and accuracy compared to other numerical methods. This method was proven to be stable, convergent and, easily coded. |
| first_indexed | 2025-11-14T17:28:23Z |
| format | Article |
| id | iium-72659 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T17:28:23Z |
| publishDate | 2019 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-726592020-04-02T04:10:35Z http://irep.iium.edu.my/72659/ A numerical solution for nonlinear heat transfer of fin problems using the Haar wavelet quasilinearization method Mt Aznam, Suazlan Che Ghani, Nor Artisham Chowdhury, Md. Sazzad Hossien QA297 Numerical Analysis TJ163.26 Energy conservation TJ255 Heat engines The aim of this paper is to study the new application of Haar wavelet quasilinearization method (HWQM) to solve one-dimensional nonlinear heat transfer of fin problems. Three different types of nonlinear problems are numerically treated and the HWQM solutions are compared with those of the other method. The effects of temperature distribution of a straight fin with temperature-dependent thermal conductivity in the presence of various parameters related to nonlinear boundary value problems are analyzed and discussed. Numerical results of HWQM gives excellent numerical results in terms of competitiveness and accuracy compared to other numerical methods. This method was proven to be stable, convergent and, easily coded. Elsevier 2019-09 Article PeerReviewed application/pdf en http://irep.iium.edu.my/72659/7/72659%20A%20numerical%20solution%20for%20nonlinear%20heat%20transfer%20of%20fin%20problems.pdf application/pdf en http://irep.iium.edu.my/72659/13/72659_A%20numerical%20solution%20for%20nonlinear%20heat%20transfer%20of%20fin%20problems%20using%20the%20Haar%20wavelet%20quasilinearization%20method_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/72659/19/72659_A%20numerical%20solution%20for%20nonlinear%20heat%20transfer_wos.pdf Mt Aznam, Suazlan and Che Ghani, Nor Artisham and Chowdhury, Md. Sazzad Hossien (2019) A numerical solution for nonlinear heat transfer of fin problems using the Haar wavelet quasilinearization method. Results in Physics, 14. pp. 1-8. ISSN 2211-3797 https://www.sciencedirect.com/science/article/pii/S2211379719302463 |
| spellingShingle | QA297 Numerical Analysis TJ163.26 Energy conservation TJ255 Heat engines Mt Aznam, Suazlan Che Ghani, Nor Artisham Chowdhury, Md. Sazzad Hossien A numerical solution for nonlinear heat transfer of fin problems using the Haar wavelet quasilinearization method |
| title | A numerical solution for nonlinear heat transfer of fin problems using the Haar wavelet quasilinearization method |
| title_full | A numerical solution for nonlinear heat transfer of fin problems using the Haar wavelet quasilinearization method |
| title_fullStr | A numerical solution for nonlinear heat transfer of fin problems using the Haar wavelet quasilinearization method |
| title_full_unstemmed | A numerical solution for nonlinear heat transfer of fin problems using the Haar wavelet quasilinearization method |
| title_short | A numerical solution for nonlinear heat transfer of fin problems using the Haar wavelet quasilinearization method |
| title_sort | numerical solution for nonlinear heat transfer of fin problems using the haar wavelet quasilinearization method |
| topic | QA297 Numerical Analysis TJ163.26 Energy conservation TJ255 Heat engines |
| url | http://irep.iium.edu.my/72659/ http://irep.iium.edu.my/72659/ http://irep.iium.edu.my/72659/7/72659%20A%20numerical%20solution%20for%20nonlinear%20heat%20transfer%20of%20fin%20problems.pdf http://irep.iium.edu.my/72659/13/72659_A%20numerical%20solution%20for%20nonlinear%20heat%20transfer%20of%20fin%20problems%20using%20the%20Haar%20wavelet%20quasilinearization%20method_SCOPUS.pdf http://irep.iium.edu.my/72659/19/72659_A%20numerical%20solution%20for%20nonlinear%20heat%20transfer_wos.pdf |