Abstract
SUMMARY In this paper the basic idea of homotopy in topology is applied to give a kind of high-order BEM formulation for general non-linear problems governed by non-linear differential operators which need not contain any linear operators at all. As a result, the traditional REM for non-linear problems is just a special case of the proposed method. Three simple examples are used to show the effectiveness of the proposed quite general BEM for nonlinear problems.
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