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Article information
1997 , Volume 2, ¹ 5, p.35-45
Zadorin A.I.
Monptonic Samarskii scheme for an ordinary second-order equation with a small parameter for the case of the third boundary problem
The third boundary problem is considered fro an ordinary weakly non-linear differential equation of the second order with a small parameter of the highest derivative. The problem solution does not contain an explicit boundary layer and in order to solve it on a uniform grid it is suggested that the Samarskii scheme be employed. The uniform convergence of the scheme is substantiated. The possibility to make use of this scheme for solving a boundary problem on a semi-infinite material is studied.
[full text] Author(s):
Zadorin Aleksandr Ivanovich
Address: 644046, Russia, Omsk
Phone Office: (3812) 236739
E-mail: zadorin@iitam.omsk.net.ru
Bibliography link:
Zadorin A.I. Monptonic Samarskii scheme for an ordinary second-order equation with a small parameter for the case of the third boundary problem // Computational technologies. 1997. V. 2. ¹ 5. P. 35-45
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