A study of the convergence of and error estimation for the homotopy perturbation method for the Volterra-Fredholm integral equations

DOI10.1016/j.aml.2012.08.005zbMath1255.65241OpenAlexW1992516442MaRDI QIDQ1761589

Iwona Nowak, Edyta Hetmaniok, Roman Wituła, Damian Słota

Publication date: 15 November 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.08.005

zbMATH Keywords

convergence series solution error estimation homotopy perturbation method Volterra-Fredholm integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20)

Related Items (9)

Extension of the differential transformation method to nonlinear differential and integro-differential equations with proportional delays ⋮ Model predictive control based on Kalman filter for constrained Hammerstein-Wiener systems ⋮ Homotopy perturbation method for linear programming problems ⋮ Numerical solution of nonlinear mixed Volterra-Fredholm integral equations in complex plane via PQWs ⋮ Convergence analysis of hybrid functions method for two-dimensional nonlinear Volterra-Fredholm integral equations ⋮ Usage of the homotopy analysis method for solving the nonlinear and linear integral equations of the second kind ⋮ LSMR iterative method for solving one- and two-dimensional linear Fredholm integral equations ⋮ A modified homotopy perturbation method coupled with the Fourier transform for nonlinear and singular Lane-Emden equations ⋮ APPLICATION OF THE HOMOTOPY ANALYSIS METHOD FOR SOLVING THE SYSTEMS OF LINEAR AND NONLINEAR INTEGRAL EQUATIONS

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