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One-dimensional Elliptic Equation Solution Using the Straight-line Method for Heat Transfer Problems

Year: 2025

Type: article

Abstract: This paper presents the application of the straight-line method for solving one-dimensional elliptic equations in heat transfer problems. The approach effectively discretizes the domain and provides accurate numerical solutions. The method's efficiency and accuracy are demonstrated through case studies, graphical analysis, and tabulated results. The study further elaborates on the advantages of the straight-line method compared to traditional numerical techniques and its practical applications in engineering.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.15163590

Authors: Eshmurodov Mas'udjon Khikmatillayevich, Shaimov Komiljon Mirzakabulovich, Gaybulov Kodirjon Murtozoyevich

Language: English

Topic: Heat Transfer and Numerical Methods

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6949480760

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