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

Bashir Ahmad and Badra S. Alghamdi
Computer physics communications, Vol.179(6), pp.409-416
15/09/2008
DOI: https://doi.org/10.1016/j.cpc.2008.04.008

Abstract

Computer Science Computer Science, Interdisciplinary Applications Physical Sciences Physics Physics, Mathematical Science & Technology Technology
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. (C) 2008 Elsevier B.V. All rights reserved.

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