Nonlinear Boundary-Value Problems in One- and Two-Dimensional Composite Domains

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Abstract
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.

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