Usage of the homotopy analysis method for solving the nonlinear and linear integral equations of the second kind

@article{Hetmaniok2013UsageOT,
  title={Usage of the homotopy analysis method for solving the nonlinear and linear integral equations of the second kind},
  author={Edyta Hetmaniok and Damian Slota and Tomasz Trawinski and Roman Witula},
  journal={Numerical Algorithms},
  year={2013},
  volume={67},
  pages={163-185}
}
The paper presents an application of the homotopy analysis method for solving the nonlinear and linear integral equations of the second kind. In this method a series is created, sum of which (if the series is convergent) gives the solution of discussed equation. Conditions ensuring convergence of this series are presented in the paper. Error of approximate solution, obtained by considering only partial sum of the series, is also estimated. Examples illustrating usage of the investigated method… CONTINUE READING

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