Construction of approximate solutions some problems of celestial mechanics in the form of trigonometric splines

В. П. Денисюк, Л. В. Рибачук, О. В. Негоденко · Problems of Informatization and Management · 2016

There was suggested a method of constructing approximate solutions of the first boundary problem forordinary differential equations of the second order with variable coefficients in trigonometricpolynomials using the phantom nodes method. Unknown parameters are determined by collocation.An example is given; it is shown that the relative error of the solution has reduced times with theintroduction of phantom nodes

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