%0 Journal Article
%T Generalized quasilinearization method and higher order of convergence for second-order boundary value problems
%A Melton Tanya G
%A Vatsala AS
%J Boundary Value Problems
%D 2006
%I Springer
%X The method of generalized quasilinearization for second-order boundary value problems has been extended when the forcing function is the sum of -hyperconvex and -hyperconcave functions. We develop two sequences under suitable conditions which converge to the unique solution of the boundary value problem. Furthermore, the convergence is of order . Finally, we provide numerical examples to show the application of the generalized quasilinearization method developed here for second-order boundary value problems.
%U http://www.boundaryvalueproblems.com/content/2006/25715