IJPAM: Volume 31, No. 2 (2006)
GENERALIZED QUASILINEARIZATION METHOD FOR A
FORCED DUFFING EQUATION WITH MIXED NONLINEAR
THREE-POINT BOUNDARY CONDITIONS
FORCED DUFFING EQUATION WITH MIXED NONLINEAR
THREE-POINT BOUNDARY CONDITIONS
Ahmed Alsaedi
Department of Mathematics
Faculty of Science
King Abdul Aziz University
P.O. Box. 80257, Jeddah, 21589, KINGDOM OF SAUDI ARABIA
e-mail: aalsaedi@hotmail.com
Department of Mathematics
Faculty of Science
King Abdul Aziz University
P.O. Box. 80257, Jeddah, 21589, KINGDOM OF SAUDI ARABIA
e-mail: aalsaedi@hotmail.com
Abstract.In this paper, we apply thegeneralized quasilinearization technique to a three-point nonlinear mixed boundary value problem involving a forced Duffing equation and obtain sequences of upper and lower solutions converging monotonically and quadratically to the unique solution of the problem.
Received: August 3, 2006
AMS Subject Classification: 34B10, 34B15
Key Words and Phrases: quasilinearization, Duffing equation, three-point boundary value problem, quadratic convergence
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 31
Issue: 2
