NONLINEAR BOUNDARY-VALUE PROBLEMS IN ONE- AND 2-DIMENSIONAL COMPOSITE DOMAINS

Some nonlinear boundary-value problems in one- and two-dimensional composite domains have been solved by a general eigenfunction-expansion method. The advantage of the method is that separable problems in more than one dimension can be solved almost as easily as one-dimensional problems. An optimum eigenfunction-expansion basis has been found that leads to accurate solutions with only a few terms in the expansion.