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

• Autorzy: Hetmaniok E. , Słota D. , Trawiński T. , Wituła R.

Identyfikatory

DOI

10.2478/bpasts-2014-0043

• Języki publikacji: EN

Abstrakty

EN

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 approximate solution of an equation which has a practical application for charge calculation in supply circuit of the flash lamps used in cameras.

Słowa kluczowe

EN

homotopy perturbation method; integral equation; convergence; error estimation

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2014
• Tom: Vol. 62, nr 3
• Strony: 413--421
• Opis fizyczny: Bibliogr. 41 poz., rys., tab., wykr.

Twórcy

autor

Hetmaniok E.

• Institute of Mathematics, Silesian University of Technology, 23 Kaszubska St., 44-100 Gliwice, Poland

autor

Słota D.

• Institute of Mathematics, Silesian University of Technology, 23 Kaszubska St., 44-100 Gliwice, Poland

autor

Trawiński T.

• Department of Mechatronics, Faculty of Electrical Engineering, Silesian University of Technology, 10A Akademicka St., 44-100 Gliwice, Poland

autor

Wituła R.

• Institute of Mathematics, Silesian University of Technology, 23 Kaszubska St., 44-100 Gliwice, Poland

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