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Submitted
Jan 8, 2024
Accepted
Mar 28, 2024
Published
Jun 30, 2024
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Abstract

This paper presents a Numba-based solver for the 1D Heat Equation, seamlessly blending Python’s readability with Numba’s dynamic Just-In-Time (JIT) compilation. The explicit method exhibits a notable runtime reduction from 8.324 s to 4.035 s, while the implicit method sees a more pronounced improvement, decreasing from 9.970 s to 1.195 s. Statistical tests confirm the statistical significance of these efficiency gains. Future research directions include extending the solver to multidimensional heat equations, exploring advanced parallelization techniques, and implementing dynamic parameter optimization strategies. Collaboration with domain experts for real-world applications is also envisioned to validate the solver’s performance and impact. In summary, the symbiosis of Python and Numba in crafting an optimized 1D Heat Equation solver marks a pivotal advancement in efficient numerical solutions. This research holds promise for diverse scientific

Keywords

Computational Efficiency Finite Difference Methods Numerical PDE Solver Numba Optimization

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite
1.
Herho SHS, Kaban SN, Irawan DE, Kapid R. Efficient 1D Heat Equation Solver: Leveraging Numba in Python. EKSAKTA [Internet]. 2024Jun.30 [cited 2024Nov.5];25(02):126-37. Available from: https://eksakta.ppj.unp.ac.id/index.php/eksakta/article/view/487

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