Chebyshev spectral-collocation method for a class of weakly singular Volterra integral equations with proportional delay

DOI10.1515/jnma-2014-0014zbMath1302.65279OpenAlexW2045837189MaRDI QIDQ477400

Yanping Chen, Zhendong Gu

Publication date: 9 December 2014

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnma-2014-0014

zbMATH Keywords

error analysisweakly singular Volterra integral equationsChebyshev spectral-collocation methodexistence and smoothnessproportional delay

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Volterra integral equations (45D05)

Related Items (10)

Series expansion method for weakly singular Volterra integral equations ⋮ Numerical solution of initial-boundary system of nonlinear hyperbolic equations ⋮ Splitting extrapolation algorithms for solving linear delay Volterra integral equations with a spatial variable ⋮ Unnamed Item ⋮ Chebyshev spectral collocation method for system of nonlinear Volterra integral equations ⋮ Spectral collocation method for Caputo fractional terminal value problems ⋮ Spectral collocation method for system of weakly singular Volterra integral equations ⋮ A hybrid spectral method for the nonlinear Volterra integral equations with weakly singular kernel and vanishing delays ⋮ Spectral collocation method for weakly singular Volterra integro-differential equations ⋮ A mechanical quadrature method for solving delay Volterra integral equation with weakly singular kernels

This page was built for publication: Chebyshev spectral-collocation method for a class of weakly singular Volterra integral equations with proportional delay