Abstract
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.
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10 Chen, C.F., Hsiao, C.H. Haar wavelet method for solving lumped and distributed-parameter systems
Summary
Inform me when this document is cited in Scopus: Set citation alert ▻ Set citation feed ▻ Topic: Differential equations | Partial differential equations | Legendre wavelets Fin problem Haar wavelet Nonlinear equation Temperature-dependent thermal conductivity An overview of Haar wavelet method for solving differential and integral equations Hariharan, G. Haar wavelet operational matrix method for fractional oscillation equations Saeed, U.
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