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- W2890178640 abstract "We consider spectral and pseudo-spectral Jacobi-Galerkin methods and corresponding iterated methods for Fredholm integral equations of the second kind with weakly singular kernel. The Gauss-Jacobi quadrature formula is used to approximate the integral operator and the inner product based on the Jacobi weight is implemented in the weak formulation in the numerical implementation. We obtain the convergence rates for the approximated solution and iterated solution in weakly singular Fredholm integral equations, which show that the errors of the approximate solution decay exponentially in begin{document}$L^∞$end{document} -norm and weighted begin{document}$L^2$end{document} -norm. The numerical examples are given to illustrate the theoretical results." @default.
- W2890178640 created "2018-09-27" @default.
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- W2890178640 date "2019-01-01" @default.
- W2890178640 modified "2023-09-26" @default.
- W2890178640 title "Spectral Jacobi-Galerkin methods and iterated methods for Fredholm integral equations of the second kind with weakly singular kernel" @default.
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- W2890178640 doi "https://doi.org/10.3934/dcdss.2019043" @default.
- W2890178640 hasPublicationYear "2019" @default.
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