Work

Application of Fibonacci wavelets using operational matrix and differential transform method to study rectangular porous fin for nonlinear temperature in moving condition

Year: 2025

Type: article

Abstract: In this study, a novel numerical technique , the Fibonacci Wavelet Collocation Method (FWCM), is developed to analyze the nonlinear temperature distribution in a permeable moving fin within a rectangular domain. The governing highly nonlinear ordinary differential equation is formulated using Darcy's model and solved using FWCM and the Differential Transformation Method (DTM). The accuracy and efficiency of FWCM are validated by comparing its results with exact solutions and DTM. The proposed method demonstrates superior accuracy, achieving deviations of less than 0.001% from exact solutions, while DTM exhibits relatively higher errors. Additionally, FWCM requires 40% fewer computational resources compared to conventional numerical techniques, making it a more efficient alternative for solving complex heat transfer problems . The impact of key physical parameters on temperature distribution is analyzed through graphical and tabular representations. The findings confirm the robustness of FWCM in handling highly nonlinear ordinary differential equations, making it a promising approach for engineering applications involving heat transfer in porous media.

Source: Ain Shams Engineering Journal

DOI: 10.1016/j.asej.2025.103412

Authors: Azhar Iqbal, Vivek, Tayyaba Akram, Wei Sin Koh, Abdullah M. Alsharif

Institutions: Prince Mohammad bin Fahd University, Dr. A.P.J. Abdul Kalam Technical University, King Fahd University of Petroleum and Minerals, INTI International University, Taif University

Language: English

Topic: Heat Transfer and Numerical Methods

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funder: Taif University