A collocation method based on incomplete even and odd trigonometric splines is developed for first boundary value problems of linear ODEs and illustrated on three examples.
Forms of representation of interpolation trigonometric splines
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abstract
Three forms of representation of trigonometric interpolation splines are considered, in particular, the representation by the coefficients of the interpolation trigonometric polynomial, the representation by trigonometric B-splines, which are considered in more detail, and the representation by fundamental trigonometric splines. The first and third forms of representation are generalized to the case of non-periodic functions.
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Incomplete (even and odd) trigonometric splines in the problems of constructing approximate solutions of second order linear differential equations
A collocation method based on incomplete even and odd trigonometric splines is developed for first boundary value problems of linear ODEs and illustrated on three examples.