Collocation methods for nonlinear convolution Volterra integral equations with multiple proportional delays

DOI10.1016/j.amc.2012.04.045zbMath1280.65148OpenAlexW2060864910MaRDI QIDQ387449

Jie Li, Haiming Song, Kai Zhang

Publication date: 23 December 2013

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.04.045

zbMATH Keywords

numerical resultscollocation methodssuperconvergenceVolterra integral equationmultiple proportional delaysnonlinear convolution

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Volterra integral equations (45D05)

Related Items (10)

An efficient Jacobi pseudospectral approximation for nonlinear complex generalized Zakharov system ⋮ Iterated collocation methods for nonlinear third-kind Volterra integral equations with proportional delays ⋮ Jacobi-Gauss-Lobatto collocation method for the numerical solution of \(1+1\) nonlinear Schrödinger equations ⋮ Efficient Spectral Collocation Algorithm for Solving Parabolic Inverse Problems ⋮ On the analysis of numerical methods for nonstandard Volterra integral equation ⋮ An efficient collocation algorithm for multidimensional wave type equations with nonlocal conservation conditions ⋮ Fast spectral collocation method for solving nonlinear time-delayed Burgers-type equations with positive power terms ⋮ Modified numerical approaches for a class of Volterra integral equations with proportional delays ⋮ Barycentric rational collocation methods for Volterra integral equations with weakly singular kernels ⋮ Theoretical and numerical analysis of third-kind auto-convolution Volterra integral equations

Cites Work

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• Numerical Methods in Scientific Computing, Volume I
• Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
• On the generalized pantograph functional-differential equation
• Analysis of collocation solutions for nonstandard Volterra integral equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Optimal Superconvergence Orders of Iterated Collocation Solutions for Volterra Integral Equations with Vanishing Delays
• Fully Discrete Galerkin Method For Fredholm Integro-Differential Equations With Weakly Singular Kernels

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