Superconvergence of Legendre spectral projection methods for \(m\)th order integro-differential equations with weakly singular kernels

DOI10.1016/j.cam.2023.115585OpenAlexW4387387586MaRDI QIDQ6126009

Arnab Kayal, Gnaneshwar Nelakanti, Moumita Mandal

Publication date: 9 April 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2023.115585

zbMATH Keywords

integro-differential equationweakly singular kernelLegendre spectral Galerkin methodsuperconvergence rateLegendre spectral multi-projection method

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Theoretical approximation of solutions to integral equations (45L05) Integro-differential operators (47G20)

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