An \(hp\)-spectral collocation method for nonlinear Volterra functional integro-differential equations with delays

DOI10.1016/j.apnum.2015.12.005zbMath1416.65551OpenAlexW2258012589MaRDI QIDQ278769

Chang-Tao Sheng, Ben-yu Guo, Zhong-qing Wang

Publication date: 2 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2015.12.005

zbMATH Keywords

convergence analysismultistep Legendre-Gauss spectral collocation methodnonlinear Volterra functional integro-differential equations with vanishing delays

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Volterra integral equations (45D05)

Related Items (13)

A Robust Hybrid Spectral Method for Nonlocal Problems with Weakly Singular Kernels ⋮ Analysis of nonlinear fractional optimal control systems described by delay Volterra-Fredholm integral equations via a new spectral collocation method ⋮ Unnamed Item ⋮ Numerical solution of nonlinear weakly singular Volterra integral equations of the first kind: an \textit{hp}-version collocation approach ⋮ Spectral methods for solving integro-differential equations and bibiliometric analysis ⋮ Well conditioned pseudospectral schemes with tunable basis for fractional delay differential equations ⋮ Convergence analysis of the spectral collocation methods for two-dimensional nonlinear weakly singular Volterra integral equations ⋮ An \(h\)-\(p\) version of the discontinuous Galerkin method for Volterra integro-differential equations with vanishing delays ⋮ \(hp\)-version collocation method for a class of nonlinear Volterra integral equations of the first kind ⋮ An iterative multistep kernel based method for nonlinear Volterra integral and integro-differential equations of fractional order ⋮ A mechanical quadrature method for solving delay Volterra integral equation with weakly singular kernels ⋮ An \(h\)-\(p\) version of the Chebyshev spectral collocation method for Volterra integro-differential equations with vanishing delays ⋮ The operational matrix of Chebyshev polynomials for solving pantograph-type Volterra integro-differential equations

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