Abstract
We present a method based on matrix splines of higher order to approximate the solutions of Y ″(x) = f(x, Y(x)). Our approach is a generalization of previously developed methods employing matrix-cubic splines for similar matrix equations. An estimation of the approximation error and an illustrative example are presented.
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Defez, E., Tung, M.M., Ibáñez, J.J., Soler, L. (2012). Higher-Order Matrix Splines for Systems of Second-Order Differential Equations. In: Günther, M., Bartel, A., Brunk, M., Schöps, S., Striebel, M. (eds) Progress in Industrial Mathematics at ECMI 2010. Mathematics in Industry(), vol 17. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25100-9_71
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DOI: https://doi.org/10.1007/978-3-642-25100-9_71
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