Assessment of Haar Wavelet-Quasilinearization Technique in Heat Convection-Radiation Equations. (5th February 2014)

• Record Type: Journal Article
• Authors: Saeed, Umer; Rehman, Mujeeb ur
• Other Names: Morabito Francesco Academic Editor.
• Is Part Of: Applied computational intelligence and soft computing. Volume 2014(2014)
• Publication Date: 2014-02-05
• Subjects: Computational intelligence -- Periodicals; Soft computing -- Periodicals; 006.305
• DOI: 10.1155/2014/454231
• Languages: English
• ISSNs: 1687-9724

Abstract

Abstract : We showed that solutions by the Haar wavelet-quasilinearization technique for the two problems, namely, (i) temperature distribution equation in lumped system of combined convection-radiation in a slab made of materials with variable thermal conductivity and (ii) cooling of a lumped system by combined convection and radiation are strongly reliable and also more accurate than the other numerical methods and are in good agreement with exact solution. According to the Haar wavelet-quasilinearization technique, we convert the nonlinear heat transfer equation to linear discretized equation with the help of quasilinearization technique and apply the Haar wavelet method at each iteration of quasilinearization technique to get the solution. The main aim of present work is to show the reliability of the Haar wavelet-quasilinearization technique for heat transfer equations.