Approximation of solutions of the nonlinear Duffing equation involving both integral and non-integral forcing terms with separated boundary conditions

In this paper, we study a boundary value problem involving the nonlinear Duffing equation with both integral and non-integral forcing terms, and separated boundary conditions. We develop a generalized quasilinearization algorithm to obtain monotone sequences of lower and upper solutions converging u...

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Bibliographic Details
Published in:Computer physics communications 2008-09, Vol.179 (6), p.409-416
Main Authors: Ahmad, Bashir, Alghamdi, Badra S.
Format: Article
Language:English
Subjects:
Duffing equation
Quadratic convergence
Quasilinearization
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Summary:In this paper, we study a boundary value problem involving the nonlinear Duffing equation with both integral and non-integral forcing terms, and separated boundary conditions. We develop a generalized quasilinearization algorithm to obtain monotone sequences of lower and upper solutions converging uniformly and quadratically to the unique solution of the problem.
ISSN:0010-4655
1879-2944
DOI:10.1016/j.cpc.2008.04.008