Numerical solution of linear Volterra integral equations of the second kind with sharp gradients

DOI10.1016/J.CAM.2011.03.029zbMath1219.65162OpenAlexW2140856800WikidataQ60140974 ScholiaQ60140974MaRDI QIDQ548332

Samuel A. Isaacson, Robert M. Kirby

Publication date: 28 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2011.03.029

zbMATH Keywords

comparison of methodsnumerical examplesSinc methodqualocationcollocationspectral methodlinear Volterra integral equationGregory methodpartitioned quadrature

Mathematics Subject Classification ID

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

Related Items (11)

Approximate solution of the system of linear Volterra-Stieltjes integral equations of the second kind ⋮ Legendre collocation method and its convergence analysis for the numerical solutions of the conductor-like screening model for real solvents integral equation ⋮ Numerical solution of Volterra-Fredholm integral equations based on \(\varepsilon\)-SVR method ⋮ Numerical solution of Volterra-Fredholm integral equations using Legendre collocation method ⋮ Sawi decomposition method for Volterra integral equation with application ⋮ Approximate solution of Volterra-Stieltjes linear integral equations of the second kind with the generalized trapezoid rule ⋮ Numerical solution of Volterra-Fredholm integral equations using the collocation method based on a special form of the Müntz-Legendre polynomials ⋮ Taylor collocation method and convergence analysis for the Volterra-Fredholm integral equations ⋮ A spectral collocation method with piecewise trigonometric basis functions for nonlinear Volterra-Fredholm integral equations ⋮ On accurate solution of the Fredholm integral equations of the second kind ⋮ A numerical method for linear Volterra integral equations on infinite intervals and its application to the resolution of metastatic tumor growth models

Uses Software

• Algorithm 689

Cites Work

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