A numerical method for solving Volterra integral equations of the third kind by multistep collocation method

DOI10.1007/s40314-019-0947-9zbMath1438.65342OpenAlexW2978322227MaRDI QIDQ2326367

F. M. Maalek Ghaini, H. Laeli Dastjerdi, F. Shayanfard

Publication date: 7 October 2019

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

Full work available at URL: https://doi.org/10.1007/s40314-019-0947-9

zbMATH Keywords

collocation methodmultistep collocation methodVolterra integral equations of the third kind

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Linear integral equations (45A05) Singular integral equations (45E99)

Related Items (12)

A numerical method for the solution of nonlinear Volterra Hammerstein integral equations of the third-kind ⋮ An accurate Legendre collocation method for third-kind Volterra integro-differential equations with non-smooth solutions ⋮ An efficient spectral method for solving third-kind Volterra integral equations with non-smooth solutions ⋮ A computational approach for solving third kind VIEs by collocation method based on radial basis functions ⋮ Fractional collocation method for third-kind Volterra integral equations with nonsmooth solutions ⋮ Analysis of blow-up behavior of solutions to CVIEs ⋮ Bernstein approximation technique for numerical solution of Volterra integral equations of the third kind ⋮ Solving the third-kind Volterra integral equation via the boundary value technique: Lagrange polynomial versus fractional interpolation ⋮ Recovery of high order accuracy in spectral collocation method for linear Volterra integral equations of the third-kind with non-smooth solutions ⋮ Unnamed Item ⋮ A fast sparse spectral method for nonlinear integro-differential Volterra equations with general kernels ⋮ Collocation method for approximate solution of Volterra integro-differential equations of the third-kind

Cites Work

• Unnamed Item
• Unnamed Item
• Multistep Hermite collocation methods for solving Volterra integral equations
• Analysis of collocation methods for nonlinear Volterra integral equations of the third kind
• Existence, uniqueness and regularity of solutions to a class of third-kind Volterra integral equations
• Multistep collocation methods for Volterra integral equations
• Volterra Integral Equations
• Collocation methods for third-kind VIEs
• Collocation Methods for Volterra Integral and Related Functional Differential Equations

This page was built for publication: A numerical method for solving Volterra integral equations of the third kind by multistep collocation method