A method for numerical solving of boundary values problems of ordinary differential equations based on the use of splines and differentiation matrices with nodes as zeroes of classical orthogonal polynomials is considered. Possibilities of the method are shown by means of different examples. The method essentially uses the results obtained by Degenerate Matrices methods and it is applied for solving initial values problems of ordinary differential equations.
Darbe nagrinėjamas paprastųjų lygčių su kraštinėmis sąlygomis skaitinis sprendimo metodas. Šio metodo pagrindą sudaro nereguliariųjų matricų bei splainų konstravimas klasikiniu ortogonaliųjų polinomų pavidalu. Nagrinėjamo straipsnyje metodo taikymo galimybės parodytos įvairiais pavyzdžiais.
Belovs, M., & Cirulis, T. (2005). Degenerate matrices methods by splines for boundary values problems of ordinary differential equations. Mathematical Modelling and Analysis, 10(2), 127-140. https://doi.org/10.3846/13926292.2005.9637277
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