%0 Journal Article %T 2-Point Implicit Block One-Step Method Half Gauss-Seidel For Solving First Order Ordinary Differential Equations %A Zanariah bt Abdul Majid %A Mohamed bin Suleiman %A Fudziah bt Ismail %A Mohamed bin Othman %J Matematika %D 2003 %I Universiti Teknologi Malaysia %X In this paper, a 2 point implicit block one-step method for solving a system of ordinary differential equations (ODEs) using variable step size is developed. This method will estimate the solutions of initial value problems at 2 point simultaneously based on equidistant block method. Numerical results are given to compare the efficiency of the new method and that of the 2 point implicit block one-step method by Rosser (1967). %K Block Method %K One-Step Method %K Ordinary Differential Equations. %U http://www.fs.utm.my/matematika/images/stories/matematika/200319202.pdf