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Article information
2026 , Volume 31, ¹ 2, p.90-103
Benssaad M., Khellaf A., Lemita S., Merchela W.
Numerical analysis of a nonlinear weakly singular integro-differential system based on Volterra - Chandrasekhar equations
In this study, we focus on the nonlinear weakly singular system of Volterra – Chandrasekhar integro-differential equations. These equations pose challenges due to their weak singularities and nonlinear nature. Under appropriate conditions, we prove the existence and uniqueness of both analytical and numerical solutions using the Banach Fixed Point Theorem. For numerical solutions, we combine the Nystr¨om method with the product integration method. This approach demonstrates the convergence of the numerical solution, offering an effective method to solve such complex systems.
Keywords: integral equations, product integration methods, Nystrom method
doi: 10.25743/ICT.2026.31.2.007
Author(s):
Benssaad Meryem
Position: Associate Professor
Office: 8 Mai 1945 - Univesity of Guelma
Address: 24000, Algiers, Guelma, BP 401
E-mail: benssaad.meryem@gmail.com
Khellaf Ammar
Position: Associate Professor
Office: Ecole Nationale Polytechniques de Constantine
Address: 25000, Algiers, Constantine, BP 75, 25000, A. Nouvelle ville
E-mail: amarlasix@gmail.com
Lemita Samir
Position: Associate Professor
Office: Echahid Cheikh Larbi Tebessi University
Address: 12022, Algiers, Tebessa, Route de Constantine
E-mail: lemsamir@gmail.com
Merchela Wassim
Position: Associate Professor
Office: University Salah Boubnider Constantine 3, Mustapha Stambouli University -Mascara
Address: 25016, Algiers, Constantine, La Nouvelle Ville Ali Mendjeli
E-mail: merchela.wassim@gmail.com
Bibliography link:
Benssaad M., Khellaf A., Lemita S., Merchela W. Numerical analysis of a nonlinear weakly singular integro-differential system based on Volterra - Chandrasekhar equations // Computational technologies. 2026. V. 31. ¹ 2. P. 90-103
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