Geodesic
Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions
Electronic journal of differential equations, Tome 2002 (2002)
The generalized quasilinearization technique is applied to obtain a monotone sequence of iterates converging uniformly and quadratically to a solution of three point boundary value problem for second order differential equations with nonlinear boundary conditions. Also, we improve the convergence of the sequence of iterates by establishing a convergence of order k.
Classification : 34B10, 34B15
Keywords: generalized quasilinearization, boundary value problem, nonlinear boundary conditions, quadratic and rapid convergence 
@article{EJDE_2002__2002__a224,
     author = {Ahmad,  Bashir and Khan,  Rahmat Ali and Eloe,  Paul W.},
     title = {Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {1027.34013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a224/}
}
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%J Electronic journal of differential equations
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%G en
%F EJDE_2002__2002__a224
Ahmad,  Bashir; Khan,  Rahmat Ali; Eloe,  Paul W. Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a224/