A spectral collocation method for multidimensional nonlinear weakly singular Volterra integral equation

DOI10.1016/j.cam.2017.09.037zbMath1377.65175OpenAlexW2761840282MaRDI QIDQ1678112

Yunxia Wei, Xiulian Shi, Yanping Chen

Publication date: 14 November 2017

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.2017.09.037

zbMATH Keywords

convergenceerror analysisweakly singular kernelnumerical resultChebyshev collocation discretizationmultidimensional Gauss quadrature formulamultidimensional nonlinear Volterra integral equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items

A Legendre spectral method for multidimensional partial Volterra integro-differential equations, On the rate of convergence of the Legendre spectral collocation method for multi-dimensional nonlinear Volterra–Fredholm integral equations, A class of Runge-Kutta methods for nonlinear Volterra integral equations of the second kind with singular kernels, Numerical solution of two-dimensional weakly singular Volterra integral equations with non-smooth solutions, Spectral Collocation Methods for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels, A spectral collocation method for nonlocal diffusion equations with volume constrained boundary conditions, Convergence analysis of spectral methods for high-order nonlinear Volterra integro-differential equations

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