TY - JOUR A2 - Atangana, Abdon AU - See, Phang Pei AU - Abdul Majid, Zanariah AU - Suleiman, Mohamed PY - 2014 DA - 2014/06/05 TI - Three-Step Block Method for Solving Nonlinear Boundary Value Problems SP - 379829 VL - 2014 AB - We propose a three-step block method of Adam’s type to solve nonlinear second-order two-point boundary value problems of Dirichlet type and Neumann type directly. We also extend this method to solve the system of second-order boundary value problems which have the same or different two boundary conditions. The method will be implemented in predictor corrector mode and obtain the approximate solutions at three points simultaneously using variable step size strategy. The proposed block method will be adapted with multiple shooting techniques via the three-step iterative method. The boundary value problem will be solved without reducing to first-order equations. The numerical results are presented to demonstrate the effectiveness of the proposed method. SN - 1085-3375 UR - https://doi.org/10.1155/2014/379829 DO - 10.1155/2014/379829 JF - Abstract and Applied Analysis PB - Hindawi Publishing Corporation KW - ER -