An analytical technique for solving general linear integral equations of the second kind and its application in analysis of flash lamp control circuit

E. Hetmaniok, D. Słota, T. Trawiński, R. Wituła
2014 Bulletin of the Polish Academy of Sciences: Technical Sciences  
In this paper an application of the homotopy perturbation method for solving the general linear integral equations of the second kind is discussed. It is shown that under proper assumptions the considered equation possesses a unique solution and the series obtained in the homotopy perturbation method is convergent. The error of approximate solution, received by taking only the partial sum of the series, is also estimated. Moreover, there is presented an example of applying the method for
more » ... mate solution of an equation which has a practical application for charge calculation in supply circuit of the flash lamps used in cameras.
doi:10.2478/bpasts-2014-0043 fatcat:dxyfjrjmkvhn5gr5ty5xhd5s2m