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Article information
2011 , Volume 16, ¹ 4, p.50-63
Korobitsin V.V.
On the determination of the point of intersection of the Cauchy problem with the surface of discontinuity
Determination of the point of intersection between the solution and the surface of discontinuity is an important step in solving systems of ordinary differential equations with discontinuous right-hand side. The existence of the solution for this step is considered. An algorithm for computing the intersection point is suggested. The convergence of numerical method is proven. The results of computational experiments for linear and nonlinear surfaces of discontinuity are presented.
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Keywords: ordinary differential equation with discontinuous right-hand side, numerical method, extrapolation, Newtons method
Author(s):
Korobitsin VictorV.
PhD. , Associate Professor
Position: Associate Professor
Office: Omsk State University
Address: 644077, Russia, Omsk, 55-A, Mira pr.
Phone Office: (3812) 648 778
E-mail: korobits@rambler.ru
Bibliography link:
Korobitsin V.V. On the determination of the point of intersection of the Cauchy problem with the surface of discontinuity // Computational technologies. 2011. V. 16. ¹ 4. P. 50-63
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