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Construction of ODE Curves

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Abstract

This paper deals with a construction problem of free-form curves from data constituted by some approximation points and a boundary value problem for an ordinary differential equation (ODE). The solution of this problem is called an ODE curve. We discretize the problem in a space of B-spline functions. Finally, we analyze a graphical example in order to illustrate the validity and effectiveness of our method.

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Kouibia, A., Pasadas, M. & Rodríguez, M. Construction of ODE Curves. Numerical Algorithms 34, 367–377 (2003). https://doi.org/10.1023/B:NUMA.0000005351.91801.c3

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  • DOI: https://doi.org/10.1023/B:NUMA.0000005351.91801.c3

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