Approximation of solutions of the forced duffing equation with nonlocal discontinuous type integral boundary conditions

Ahmed Alsaedi

Address: Department of Mathematics, Faculty of Science King Abdulaziz University P.O. Box. 80257, Jeddah 21589, Saudi Arabia

E-mail: aalsaedi@hotmail.com

Abstract: A generalized quasilinearization technique is applied to obtain a sequence of approximate solutions converging monotonically and quadratically to the unique solution of the forced Duffing equation with nonlocal discontinuous type integral boundary conditions.

AMSclassification: primary 34B10; secondary 34B15.

Keywords: duffing equation, integral boundary conditions, quasilinearization, quadratic convergence.