An expansion-iterative method for numerically solving Volterra integral equation of the first kind

DOI10.1016/j.camwa.2009.11.004zbMath1189.65309OpenAlexW2028011742MaRDI QIDQ980198

Esmail Babolian, Zahra Masouri, Saeed Hatamzadeh-Varmazyar

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.11.004

zbMATH Keywords

iterative methodoperational matrixblock-pulse functionsexpansion methodfirst kind Volterra integral equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20)

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Cites Work

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• Direct method to solve Volterra integral equation of the first kind using operational matrix with block-pulse functions
• Iterative method for solving integral equations of the first kind
• An expansion method to treat integral equations
• Numerical solution of integral equations by using combination of spline-collocation method and Lagrange interpolation
• Numerical solution of Fredholm integral equation of the first kind with collocation method and estimation of error bound
• Identification of a class of continuous time-varying linear systems via block pulse functions
• Computational Methods for Integral Equations
• An Augmented Galerkin Method for First Kind Fredholm Equations
• Block pulse functions, the most fundamental of all piecewise constant basis functions

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