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A note on the numerical solution of an identification problem for observing two‐phase flow in capillaries
Author(s) -
Erdogan Abdullah Said,
Sazaklioglu Ali Ugur
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2985
Subject(s) - mathematics , flow (mathematics) , calculus (dental) , two phase flow , identification (biology) , mathematical analysis , geometry , medicine , botany , dentistry , biology
In this paper, a right‐hand side identification problem for a parabolic equation with an overdetermined condition on an observation point is considered. A first and second order of accuracy difference schemes are constructed for obtaining approximate solutions of the problem that arises in two‐phase flow in capillaries. Stability estimates and numerical results are also established. Copyright © 2013 John Wiley & Sons, Ltd.