ONE-DIMENSIONAL ELLIPTIC EQUATION SOLUTION USING THE STRAIGHT-LINE METHOD FOR HEAT TRANSFER PROBLEMS

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.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-04-06
DOI
https://doi.org/10.5281/zenodo.15163590
Primary Topic
Heat Transfer and Numerical Methods
Type
article
Field-Weighted Citation Impact
0.00
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article

ONE-DIMENSIONAL ELLIPTIC EQUATION SOLUTION USING THE STRAIGHT-LINE METHOD FOR HEAT TRANSFER PROBLEMS

Zenodo (CERN European Organization for Nuclear Research)
Heat Transfer and Numerical Methods
article

ONE-DIMENSIONAL ELLIPTIC EQUATION SOLUTION USING THE STRAIGHT-LINE METHOD FOR HEAT TRANSFER PROBLEMS

article en

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.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 54%
Heat Transfer and Numerical Methods
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ONE-DIMENSIONAL ELLIPTIC EQUATION SOLUTION USING THE STRAIGHT-LINE METHOD FOR HEAT TRANSFER PROBLEMS · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS