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

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

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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.

Item Type: Article (Journal)
Additional Information: 8062/72659
Uncontrolled Keywords: Fin problem Temperature-dependent thermal conductivity Haar wavelet Quasilinearization method Nonlinear equation
Subjects: Q Science > QA Mathematics > QA297 Numerical Analysis
T Technology > TJ Mechanical engineering and machinery > TJ163.26 Energy conservation
T Technology > TJ Mechanical engineering and machinery > TJ255 Heat engines
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): Kulliyyah of Engineering
Kulliyyah of Engineering > Department of Science
Depositing User: Dr. Suazlan Mt Aznam
Date Deposited: 17 Jun 2019 08:53
Last Modified: 17 Sep 2019 10:15
URI: http://irep.iium.edu.my/id/eprint/72659

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