Supplementary Files
Keywords
Heat Conduction
Grid Size
Analytical Solution
Numerical Solution
How to Cite
Abstract
The heat equation is widely used in engineering applications to predict temperature distribution in materials subjected to heating or cooling, such as in high-temperature furnaces and pipeline-based heat networks. This study applies the alternating direction implicit (ADI) method to solve a two-dimensional heat conduction problem and evaluates its accuracy through grid convergence and error analysis. Results indicate that finer grid resolutions improve numerical accuracy, with absolute errors decreasing from 15.523 (for a grid size of 110) to 0.493 (for a grid size of 190) at the centre of the plate. Computational efficiency analysis reveals a trade-off, as execution times increase from 0.089907s to 0.432780s for the same grid refinements. These findings confirm the ADI method’s reliability for thermal simulations, offering a balanced approach between precision and computational cost. The study concludes that the ADI method is a robust and efficient tool for modelling heat conduction in engineering applications.
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