Analysis and Numerical Approximation of a Free Boundary Problem for a Singular Ordinary Differential Equation

P. Lima, L. Morgado

Abstract


We analyse a free boundary problem for a second order nonlinear or-dinary differential equation. The asymptotic behavior of the solutions satisfyingcertain boundary conditions is analysed at the endpoints of the interval where thesolution is sought. Based on this study, an efficient shooting method is introducedand numerical results are obtained.

References


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DOI: https://doi.org/10.5540/tema.2007.08.02.0259

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Trends in Computational and Applied Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)

 

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