A numerical solution for nonlinear heat transfer of fin problems using the Haar wavelet quasilinearization method

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.

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Official URL: https://doi.org/10.1016/j.rinp.2019.102393

Abstract

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

Item Type: Article
Funders: IIUM Research Initiative Grant Scheme (RIGS) with Grant No. RIGS17-081–0656
Uncontrolled Keywords: Fin problem; Temperature-dependent thermal conductivity; Haar wavelet; Quasilinearization method; Nonlinear equation
Subjects: Q Science > QA Mathematics
T Technology > TA Engineering (General). Civil engineering (General)
Divisions: Centre for Foundation Studies in Science > Mathematics Division
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 04 Mar 2020 03:18
Last Modified: 04 Mar 2020 03:18
URI: http://eprints.um.edu.my/id/eprint/23958

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