Bouda, Hamza; Allouch, Chafik; Kant, Kapil; El Allali, Zakaria Error analysis of a Jacobi modified projection-type method for weakly singular Volterra-Hammerstein integral equations. (English) Zbl 07919856 ETNA, Electron. Trans. Numer. Anal. 60, 446-470 (2024). Reviewer: Eduardo Cuesta (Valladolid) MSC: 45L05 45D05 45G10 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Nigam, Ritu; Kant, Kapil; Kumar, BV Rathish; Nelakanti, Gnaneshwar Approximation of weakly singular non-linear Volterra-Urysohn integral equations by piecewise polynomial projection methods based on graded mesh. (English) Zbl 07920378 J. Appl. Anal. Comput. 13, No. 3, 1359-1387 (2023). MSC: 45B05 45G10 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Kant, Kapil; Mandal, Moumita; Nelakanti, Gnaneshwar Jacobi spectral Galerkin methods for a class of nonlinear weakly singular Volterra integral equations. (English) Zbl 1488.65747 Adv. Appl. Math. Mech. 13, No. 5, 1227-1260 (2021). MSC: 65R20 45B05 × Cite Format Result Cite Review PDF Full Text: DOI
Kant, Kapil; Nelakanti, Gnaneshwar Error analysis of Jacobi-Galerkin method for solving weakly singular Volterra-Hammerstein integral equations. (English) Zbl 1483.65217 Int. J. Comput. Math. 97, No. 12, 2395-2420 (2020). MSC: 65R20 45D05 45G10 × Cite Format Result Cite Review PDF Full Text: DOI
Kant, Kapil; Nelakanti, Gnaneshwar Galerkin and multi-Galerkin methods for weakly singular Volterra-Hammerstein integral equations and their convergence analysis. (English) Zbl 1449.65362 Comput. Appl. Math. 39, No. 2, Paper No. 57, 28 p. (2020). MSC: 65R20 45D05 45L05 × Cite Format Result Cite Review PDF Full Text: DOI
Kant, Kapil; Mandal, Moumita; Nelakanti, Gnaneshwar Error analysis of Jacobi spectral Galerkin and multi-Galerkin methods for weakly singular Volterra integral equations. (English) Zbl 1441.65126 Mediterr. J. Math. 17, No. 1, Paper No. 20, 24 p. (2020). Reviewer: Kai Diethelm (Schweinfurt) MSC: 65R20 45D05 45E05 × Cite Format Result Cite Review PDF Full Text: DOI
Kant, Kapil; Nelakanti, Gnaneshwar Jacobi spectral methods for Volterra-Urysohn integral equations of second kind with weakly singular kernels. (English) Zbl 1432.65197 Numer. Funct. Anal. Optim. 40, No. 15, 1787-1821 (2019). Reviewer: Alexander N. Tynda (Penza) MSC: 65R20 45G10 45D05 × Cite Format Result Cite Review PDF Full Text: DOI