Third order convergence for forced Duffing equations with integral boundary conditions

The method of generalized quasilinearization has been extended for forced Duffing equations with integral boundary conditions. Natural lower and upper solutions have been considered. Two sequences that converge uniformly and monotonically to the unique solution of the forced Duffing equation have be...

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Bibliographic Details
Main Authors: Melton, Tanya G, Vatsala, A S
Format: Conference Proceeding
Language:English
Subjects:
Boundary conditions
Convergence
Duffing equation
Integrals
Mathematical analysis
Online Access:Get full text
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Summary:The method of generalized quasilinearization has been extended for forced Duffing equations with integral boundary conditions. Natural lower and upper solutions have been considered. Two sequences that converge uniformly and monotonically to the unique solution of the forced Duffing equation have been obtained. The rate of convergence of these sequences is cubic when the nonlinearity of the iterates is quadratic.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4854773