Convergence analysis of the spectral collocation methods for two-dimensional nonlinear weakly singular Volterra integral equations

DOI10.1007/s10986-018-9387-2zbMath1391.45005OpenAlexW2793169138MaRDI QIDQ1754538

Yunxia Wei, Xiulian Shi

Publication date: 31 May 2018

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-018-9387-2

zbMATH Keywords

convergence analysisweakly singular kernelsJacobi spectral collocation method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Volterra integral equations (45D05)

Related Items (7)

Combined Legendre Spectral-Finite Element Methods for Two-Dimensional Fredholm Integral Equations of the Second Kind ⋮ Spectral collocation methods for fractional multipantograph delay differential equations ⋮ Jacobi spectral approximation for boundary value problems of nonlinear fractional pantograph differential equations ⋮ 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 ⋮ Mixed Fourier Legendre spectral Galerkin methods for two-dimensional Fredholm integral equations of the second kind ⋮ Convergence analysis of spectral methods for high-order nonlinear Volterra integro-differential equations

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