1994-02
AUTHORSP. N. Müller, K. -D. Reinsch, R. Bulirsch
ABSTRACTIn Ref. 1, the author claimed that the problem ∈y″=y3 is soluble only for a certain range of the parameter ∈. An analytic approach, as adopted in the following contribution, reveals that a unique solution exists for any positive value of ∈. The solution is given in closed form by means of Jacobian elliptic functions, which can be numerically computed very efficiently. In the limit ∈→0+, the solutions exhibit boundary-layer behavior at both endpoints. An easily interpretable approximate solution for small ∈ is obtained using a three-variable approach. More... »
PAGES367-372
http://scigraph.springernature.com/pub.10.1007/bf02192942
DOIhttp://dx.doi.org/10.1007/bf02192942
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