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Article

Технология решения краевых задач для нелинейных систем функционально-дифференциальных уравнений точечного типа

Бекларян А. Л., Белоусов Ф. А., Зароднюк Т. С., Аникин А. С., Финкельштейн Е. А.

A class of nonlinear functional-differential equations, including equations with deviating argument of various types with time-lag and advance, as well as combine both of these elements is considered. The proposed technology for solving boundary value problems is based on the Ritz method and spline collocation approaches. To solve the problem, we discretized system trajectories on the grid with a constant step and formulate the generalized residual functional, including both weighted residuals of the original differential equation and residuals of boundary conditions. The report examines a small collection of test problems designed with traditional technique. The results of computational experiments are carried out for all the problems from the test collection