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• W3208263433 endingPage "113902" @default.
• W3208263433 startingPage "113902" @default.
• W3208263433 abstract "In this paper, we put forward a new spectral element method for the nonlinear second-kind Volterra integral equations (VIEs) with weakly singular kernel, which employs shifted Müntz–Jacobi functions and shifted Legendre polynomials as basis functions. This method is capable of approximating the limited regular solution more efficiently. We analyze the existence and uniqueness of the solution to the numerical scheme and derive the hp-version optimal convergence under some reasonable assumptions. A series of numerical examples are presented to demonstrate the efficiency of the new method." @default.
• W3208263433 created "2021-11-08" @default.
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• W3208263433 date "2022-04-01" @default.
• W3208263433 modified "2023-09-26" @default.
• W3208263433 title "New spectral element method for Volterra integral equations with weakly singular kernel" @default.
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• W3208263433 doi "https://doi.org/10.1016/j.cam.2021.113902" @default.
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