Generalized Quasilinearization Method for a Second Order Three Point Boundary-value Problem with Nonlinear Boundary Conditions

Abstract

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.