Extending The Product Integration Method

Raouia BEN DAHMANE; Khanssa BEN DAHMANE; Hanane KABOUL

doi:10.59287/as-abstracts.1223

Extending The Product Integration Method

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Authors

Raouia BEN DAHMANE Department of mathematics, University of Biskra,Biskra, Algeria
Khanssa BEN DAHMANE Department of mathematics, University of Biskra,Biskra, Algeria
Hanane KABOUL Department of mathematics, University of Biskra,Biskra, Algeria

DOI:

https://doi.org/10.59287/as-abstracts.1223

Keywords:

Fredholm Integral Equation, Weakly Singular Kernel, The Product Integration

Abstract

We examine a weakly singular kernel Fredholm integral equation of the second kind in 1 ([ ] R) and provide adequate conditions for the solution’s existence and uniqueness. Furthermore, we expand the product integration technique initially proposed in 1 ([ ] R) and adapt it to 1 ([ ] [ ] R). To demonstrate its effectiveness, we present numerical evidence along with an application in Astrophysics.

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Published

2023-07-26

How to Cite

BEN DAHMANE, R., BEN DAHMANE, K., & KABOUL, H. (2023). Extending The Product Integration Method. All Sciences Abstracts, 1(4), 2. https://doi.org/10.59287/as-abstracts.1223