The modified decomposition method for analytic treatment of non-linear integral equations and systems of non-linear integral equations

Author: Wazwaz Abdul-Majid  

Publisher: Taylor & Francis Ltd

ISSN: 0020-7160

Source: International Journal of Computer Mathematics, Vol.82, Iss.9, 2005-09, pp. : 1107-1115

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Abstract

We demonstrate the use of the modified decomposition method for the analytic treatment of non-linear Fredholm integral equations, non-linear Volterra integral equations and systems of non-linear integral equations. The proper implementation of the modified method can dramatically reduce the amount of work required and may provide the exact solution using only a few iterations. The analysis is accompanied by numerical illustrations that show the pertinent features of the technique.