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- W1992502150 abstract "Abstract In this paper, we discuss the application of spectral Jacobi-collocation methods to a certain class of weakly singular Volterra integral equations. First, we use some function transformations and variable changes to transform the equation into a Volterra integral equation defined on the standard interval [ - 1 , 1 ] . Then the Jacobi–Gauss quadrature formula is used to approximate the integral operator. For the spectral Jacobi-collocation method, a rigorous error analysis in both the L ∞ and weighted L 2 norms is given under the assumption that both the kernel function and the source function are sufficiently smooth. Finally, some numerical examples are provided to illustrate the theoretical results." @default.
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- W1992502150 date "2015-01-01" @default.
- W1992502150 modified "2023-09-27" @default.
- W1992502150 title "Convergence analysis of spectral collocation methods for a class of weakly singular Volterra integral equations" @default.
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- W1992502150 doi "https://doi.org/10.1016/j.amc.2014.10.100" @default.
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