Continuous piecewise polynomial collocation methods for generalized auto-convolution Volterra integral equations

DOI10.1216/JIE.2023.35.41MaRDI QIDQ6172735

Hui Liang, Yu Ping Li

Publication date: 20 July 2023

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/journal-of-integral-equations-and-applications/volume-35/issue-1/CONTINUOUS-PIECEWISE-POLYNOMIAL-COLLOCATION-METHODS-FOR-GENERALIZED-AUTO-CONVOLUTION-VOLTERRA/10.1216/jie.2023.35.41.full

zbMATH Keywords

convergencesuperconvergenceVolterra integral equationsauto-convolutioncontinuous collocation methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20)

Cites Work

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• On the convergence of collocation solutions in continuous piecewise polynomial spaces for Volterra integral equations
• Fractional-order relaxation laws in nonlinear viscoelasticity
• Discontinuous piecewise polynomial collocation methods for integral-algebraic equations of Hessenberg type
• Analysis of Collocation Methods for Generalized Auto-Convolution Volterra Integral Equations
• Autoconvolution equations of the third kind with power-logarithmic coefficients
• A Nonlinear Theory of Viscoelasticity for Application to Elastomers
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• The Convergence of Collocation Solutions in Continuous Piecewise Polynomial Spaces for Weakly Singular Volterra Integral Equations
• Die Anwendung des Operatorenkalküls von Jan Mikusiński auf lineare Integralgleichungen vom Faltungstypus

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