Monotone iterates for systems of nonlinear integro-elliptic equations

Igor Boglaev


This paper deals with numerically solving systems of nonlinear integro-elliptic equations. We give a monotone iterative method, based on the method of upper and lower solutions. The construction of the initial upper and lower solution is discussed, and numerical experiments are presented.

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integro-elliptic equations; monotone iterates; initial upper and lower solutions

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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.