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An efficient technique to approximate the Bessel function of the first kind based on the Haar wavelet basis

Year: 2025

Type: article

Abstract: This paper presents an efficient technique for approximating the Bessel function of the first kind using Haar wavelet basis. This technique provides a suitable formula derived from the Haar wavelet series across different levels. The key benefit of this method lies in its simplicity, speed and more accurate than the standard power series method. Matlab-based illustrative examples highlight the efficiency and effectiveness of the proposed approach.

Source: Gulf Journal of Mathematics

DOI: 10.56947/gjom.v20i2.3228

Authors: Mohammed Salah Mesai Aoun, Bachir Douib, Bachir Dehda, Abdelaziz Azeb Ahmed, Fares Yazid

Institutions: University of Eloued, Amar Telidji University of Laghouat

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4413301541

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