A Spectral Method for Neutral Volterra Integro-Differential Equation with Weakly Singular Kernel

DOI10.4208/nmtma.2013.1125nmzbMath1289.65298OpenAlexW2330063109WikidataQ115209307 ScholiaQ115209307MaRDI QIDQ5398821

Yanping Chen, Yunxia Wei

Publication date: 28 February 2014

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.2013.1125nm

zbMATH Keywords

convergencenumerical resultserror boundsspectral methodweakly singular kernelneutral Volterra integro-differential equationJacobi collocation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05)

Related Items (9)

Piecewise spectral collocation method for system of Volterra integral equations ⋮ A spectral collocation method for multidimensional nonlinear weakly singular Volterra integral equation ⋮ Legendre spectral collocation method for neutral and high-order Volterra integro-differential equation ⋮ Block boundary value methods for solving linear neutral Volterra integro-differential equations with weakly singular kernels ⋮ Spectral-Collocation Method for Volterra Delay Integro-Differential Equations with Weakly Singular Kernels ⋮ Spectral Collocation Methods for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels ⋮ Numerical solutions of integral and integro-differential equations using Chebyshev polynomials of the third kind ⋮ Spectral collocation method for weakly singular Volterra integro-differential equations ⋮ Convergence analysis of spectral methods for high-order nonlinear Volterra integro-differential equations

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