[Turkmath:6566] Ravi P. Agarwal (Konusma VI)

[Agacik Zafer]

Ravi P Agarwal
Florida Institute of Technology, USA

Title of Talk: COMPLEMENTARY LIDSTONE INTERPOLATION AND BOUNDARY VALUE
PROBLEMS
Date : Monday, August 10, 2009
Time : 15:00
Place : M203, METU Department of Mathematics

Abstract: We shall introduce and construct explicitly the complementary
Lidstone interpolating polynomial P_2m(t) of degree 2m; which involves
interpolating data at the odd order derivatives. For P_2m(t) we shall
provide explicit representation of the error function, best possible error
inequalities, best possible criterion for the convergence of complementary
Lidstone series, and a quadrature formula with best possible error bound.
Then, these results will be used to establish existence and uniqueness
criteria, and the convergence of Picard’s, approximate Picard’s,
quasilinearization, and approximate quasilinearization iterative methods for
the complementary Lidstone boundary value problems which consist of an (2m +
1)th order di erential equation and the complementary Lidstone booundary
conditions.
--
Dr. Agacik Zafer
Department of Mathmatics
06531 Ankara, Turkey
http://www.metu.edu.tr/~zafer
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