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...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Published: |
Elsevier
2019
|
| Subjects: |
| _version_ | 1825722158490320896 |
|---|---|
| author | Mt Aznam, Suazlan Ghani, Nor Artisham Che Chowdhury, M.S.H. |
| author_facet | Mt Aznam, Suazlan Ghani, Nor Artisham Che Chowdhury, M.S.H. |
| author_sort | Mt Aznam, Suazlan |
| collection | UM |
| 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. © 2019 The Authors |
| first_indexed | 2024-03-06T06:01:22Z |
| format | Article |
| id | um.eprints-23958 |
| institution | Universiti Malaya |
| last_indexed | 2024-03-06T06:01:22Z |
| publishDate | 2019 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | um.eprints-239582020-03-04T03:18:21Z http://eprints.um.edu.my/23958/ A numerical solution for nonlinear heat transfer of fin problems using the Haar wavelet quasilinearization method Mt Aznam, Suazlan Ghani, Nor Artisham Che Chowdhury, M.S.H. QA Mathematics TA Engineering (General). Civil engineering (General) 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. © 2019 The Authors Elsevier 2019 Article PeerReviewed Mt Aznam, Suazlan and Ghani, Nor Artisham Che and Chowdhury, M.S.H. (2019) A numerical solution for nonlinear heat transfer of fin problems using the Haar wavelet quasilinearization method. Results in Physics, 14. p. 102393. ISSN 2211-3797, DOI https://doi.org/10.1016/j.rinp.2019.102393 <https://doi.org/10.1016/j.rinp.2019.102393>. https://doi.org/10.1016/j.rinp.2019.102393 doi:10.1016/j.rinp.2019.102393 |
| spellingShingle | QA Mathematics TA Engineering (General). Civil engineering (General) Mt Aznam, Suazlan Ghani, Nor Artisham Che Chowdhury, M.S.H. 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 | QA Mathematics TA Engineering (General). Civil engineering (General) |
| work_keys_str_mv | AT mtaznamsuazlan anumericalsolutionfornonlinearheattransferoffinproblemsusingthehaarwaveletquasilinearizationmethod AT ghaninorartishamche anumericalsolutionfornonlinearheattransferoffinproblemsusingthehaarwaveletquasilinearizationmethod AT chowdhurymsh anumericalsolutionfornonlinearheattransferoffinproblemsusingthehaarwaveletquasilinearizationmethod AT mtaznamsuazlan numericalsolutionfornonlinearheattransferoffinproblemsusingthehaarwaveletquasilinearizationmethod AT ghaninorartishamche numericalsolutionfornonlinearheattransferoffinproblemsusingthehaarwaveletquasilinearizationmethod AT chowdhurymsh numericalsolutionfornonlinearheattransferoffinproblemsusingthehaarwaveletquasilinearizationmethod |