Bashir Ahmad, Rahmat Ali Khan, & Paul W. Eloe
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.
Submitted March 14, 2002. Published October 22, 2002.
Math Subject Classifications: 34B10, 34B15.
Key Words: Generalized quasilinearization, boundary value problem, nonlinear boundary conditions, quadratic and rapid convergence.
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Rahmat Ali Khan
Department of Mathematics, Quaid-i-Azam University
Paul W. Eloe
Department of Mathematics, University of Dayton
Dayton, OH 45469-2316, USA