Work

Comparative analysis of power-law type fin problem using wavelet collocation and Galerkin methods

Year: 2014

Type: article

Abstract: In this paper, Wavelet Collocation Method and Wavelet Galerkin Method have been used to evaluate the temperature distribution of a straight rectangular fin. The linear problem has been solved by Wavelet Galerkin Method while non-linear problem by Wavelet Collocation Method. It has been observed that accuracy increases as the number of basis function increases. The result thus obtained is compared with other available results obtained by using approximate analytic methods such as Adom ian Decomposition Method, Differential Transformation Method as well as exact solution. It has been observed that the result obtained by present method is exactly same as that obtained by exact method. The method provides a unique solution for n = -3/2, N= ± 0.9 and n = -3, N = ±0.4. The justification of unique solution gets confirmed from Figs. 7 and 8. The present method provides single solution for all existing values. The convergence analysis of the proposed method along side numerical procedure for this boundary value problem is given to test wider applicability and accuracy of the method.

Source: International Journal of Applied Mathematical Research

DOI: 10.14419/ijamr.v3i4.3137

Authors: Surjan Singh, Subrahamanyam Upadhyay, K. N. Rai

Institutions: Banaras Hindu University, Indian Institute of Technology BHU

Language: English

Topic: Heat Transfer and Numerical Methods

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funders: Department of Science and Technology, Ministry of Science and Technology, India, Banaras Hindu University, Division of Mathematical Sciences

OpenAlex ID: W2000745439

FWCI: 0.27

Cites: 20

Cited by: 8

Related to: 10