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Hubbell rectangular source integral calculation using a fast Chebyshev wavelets method
1College of Science and Arts, University of Bisha, Bisha, Saudi Arabia; Unité de Recherche de Physique Nucléaire et des Hautes Énergies, Faculté des Sciences de Tunis, Université Tunis El-Manar, Tunisia.
Summary
A new Chebyshev wavelet integration method accurately calculates the Hubbell rectangular source integral. This novel approach demonstrates strong convergence and precision compared to existing methods.
Area of Science:
- Computational physics
- Numerical analysis
Background:
- The Hubbell rectangular source integral is crucial in various physics and engineering applications.
- Accurate and efficient computation of this integral is essential for reliable modeling.
Purpose of the Study:
- To introduce a novel integration method for the Hubbell rectangular source integral.
- To evaluate the convergence and accuracy of the proposed Chebyshev wavelet method.
Main Methods:
- Development of an integration technique utilizing Chebyshev wavelets.
- Application of the method to compute the Hubbell rectangular source integral.
- Comparative analysis of the method's performance against established techniques.
Main Results:
- The Chebyshev wavelet method provides accurate results for the Hubbell rectangular source integral.
- The study confirms the convergence properties of the proposed integration technique.
- Performance comparison indicates favorable accuracy and efficiency over previous methods.
Conclusions:
- The Chebyshev wavelet-based integration method is a viable and effective tool for calculating the Hubbell rectangular source integral.
- This method offers a reliable alternative for applications requiring precise integral computation.
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