Numerical Treatment of Abel’s Integral Equations Via Chelyshkov Wavelets Collocation Technique
Year: 2024
Type: article
Abstract: This study presents a method to solve weakly singular Volterra integral equations using an approximation approach. The method relies on Chelyshkov wavelet polynomials. The characteristics of the Chelyshkov wavelet are presented. By employing these polynomials, the singular Volterra integral equation is transformed into a set of algebraic equations that need to be solved. Subsequently, numerical analysis is introduced, followed by some examples and a comparison of them with existing methods to demonstrate the soundness and practicality of our method.
Authors: Youssef Esmaiel, Magdi El-Azab, Galal El-Baghdady
Institution: Mansoura University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6907486240
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