Z. Lakhdari, J.-M. Dequen, and M. Rouff (France)
EDO, Ck spline functions, Gröbnerbasis, Algebra computation.
In this article, we describe a method to solve the Ordinary Differential Equations (ODE) with Ck spline functions and algebra computation. Spline functions generate k time continuous and derivable approximations. These functions seem to be very efficient in several applied nonlinear differential. The computation of these functions use the algebraic methods (Gröbner Bases), which are more robust and often more efficient than the purely numerical methods. An example on solving nonlinear differential equations using these methods is presented.
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