A Chebyshev Spectral Collocation Method for Nonlinear Volterra Integral Equations with Vanishing Delays

DOI10.4208/eajam.130416.071217azbMath1478.65142OpenAlexW2800608751WikidataQ129833651 ScholiaQ129833651MaRDI QIDQ4985203

Dao Li, Chang-Tao Sheng, Zhong-qing Wang, Hong-Li Jia

Publication date: 22 April 2021

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d6b1e4d935c84115985a1a90fbfee9c347f617b1

zbMATH Keywords

nonlinear Volterra integral equationmultistep Chebyshev-Gauss-Lobatto spectral collocation methodvanishing variable delay

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Approximation by polynomials (41A10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Volterra integral equations (45D05)

Related Items (3)

A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Multi-Order Fractional Differential Equations ⋮ An \(hp\)-version Chebyshev collocation method for nonlinear fractional differential equations ⋮ A multi-domain Chebyshev collocation method for nonlinear fractional delay differential equations

Cites Work

• Recent advances in the numerical analysis of Volterra functional differential equations with variable delays
• Spectral methods for pantograph-type differential and integral equations with multiple delays
• Superconvergence in collocation methods on quasi-graded meshes for functional differential equations with vanishing delays
• Convergence Analysis of Spectral Methods for Integro-Differential Equations with Vanishing Proportional Delays
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
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