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I want to show some users of a piece of software some solutions of one-dimension boundary value problems (can also be initial value problems). I'm after a collection of problems whose solutions are very interesting or the BVP are of a particularly interesting nature. The problems can be linear or non-linear. Does anyone have any suggests?

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    Wiki-ized: this is a question looking for examples.2011-01-28
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    What do you mean by 1D BVP? Is it only ODEs or PDEs in 1D space + time that you are talking about? In the latter case, it is clearer to call them *initial-boundary value problems*.2011-01-29

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