Convergence and error estimation of homotopy perturbation method for Fredholm and Volterra integral equations

DOI10.1016/j.amc.2012.04.041zbMath1255.65242OpenAlexW2038780288MaRDI QIDQ450305

Damian Słota, Roman Wituła, Edyta Hetmaniok

Publication date: 13 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.04.041

zbMATH Keywords

convergenceFredholm integral equationnumerical exampleserror estimationVolterra integral equationhomotopy perturbation method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Related Items

Dynamical strategy on homotopy perturbation method for solving second kind integral equations using the CESTAC method, Usage of the homotopy analysis method for solving the nonlinear and linear integral equations of the second kind, The reverse interpolation and its application in the numerical solutions of Fredholm integral equations of the second kind, On the error analysis of the numerical solution of linear Volterra integral equations of the second kind, Application of the homotopy perturbation method for the large deflection problem of a circular plate, APPLICATION OF THE HOMOTOPY ANALYSIS METHOD FOR SOLVING THE SYSTEMS OF LINEAR AND NONLINEAR INTEGRAL EQUATIONS

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