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Article information
1996 , Volume 1, ¹ 2, p.74-81
Kireev V.I.
Multi-step discrete schemes and explicit consequential spline-methods for the solution of ordinary differential equations on an irregular pattern
New two-and three-step schemes of the second and third order have been constructed for the solution of Cauchy`s problem with ordinary integral differential equations on an irregular pattern based on quadratic integro-differential splines. The solution obtained by these schemes in combination with quadratic and cube spline functions yields a new algorithm of the explicit consequential spline method for the solution of Cauchy`s problem. This approach makes it possible to avoid solving non-linear algebraic equations.
[full text] Author(s):
Kireev Vladimir Ivanovich
Office: Moscow state aviation institute
Address: 125871, Russia, Moscow
Phone Office: (095) 1580906
E-mail: seregin@k804.mainet.msk.su
Bibliography link:
Kireev V.I. Multi-step discrete schemes and explicit consequential spline-methods for the solution of ordinary differential equations on an irregular pattern // Computational technologies. 1996. V. 1. ¹ 2. P. 74-81
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