Convergence and error estimation of homotopy analysis method for some type of nonlinear and linear integral equations

DOI10.1515/JNMA-2015-0022zbMath1328.65272OpenAlexW2394994796MaRDI QIDQ898918

Iwona Nowak, Damian Słota, Roman Wituła, Edyta Hetmaniok

Publication date: 21 December 2015

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnma-2015-0022

zbMATH Keywords

convergencelinear integral equationnonlinear integral equationerror estimationshomotopy analysis methodVolterra-Fredholm integral equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Linear integral equations (45A05)

Related Items (4)

Optimal homotopy analysis and control of error for implicitly defined fully nonlinear differential equations ⋮ APPLICATION OF THE HOMOTOPY ANALYSIS METHOD FOR SOLVING THE SYSTEMS OF LINEAR AND NONLINEAR INTEGRAL EQUATIONS ⋮ MACLAURIN SERIES METHOD FOR FRACTAL DIFFERENTIAL-DIFFERENCE MODELS ARISING IN COUPLED NONLINEAR OPTICAL WAVEGUIDES ⋮ Uniqueness and error estimates for solutions to higher-order boundary value problems

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