A Jacobi spectral method for solving multidimensional linear Volterra integral equation of the second kind

DOI10.1007/s10915-019-00912-7zbMath1416.65558OpenAlexW2917200459WikidataQ128320866 ScholiaQ128320866MaRDI QIDQ2316198

Yunxia Wei, Yanping Chen

Publication date: 26 July 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-019-00912-7

zbMATH Keywords

convergence analysismultidimensional Gauss quadrature formulaJacobi collocation discretizationmultidimensional linear Volterra integral equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Volterra integral equations (45D05)

Related Items (7)

A priori error estimates of a Jacobi spectral method for nonlinear systems of fractional boundary value problems and related Volterra-Fredholm integral equations with smooth solutions ⋮ 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 ⋮ On the numerical solution of Volterra integral equations on equispaced nodes ⋮ Stability and Convergence of L1-Galerkin Spectral Methods for the Nonlinear Time Fractional Cable Equation ⋮ A numerical method to compute the scattering solution for the KdV equation ⋮ Weakly singular linear Volterra integral equations: a Nyström method in weighted spaces of continuous functions

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