Volume 29 • Number 1 • 2006   • 3-Point Implicit Block Method for Solving Ordinary Differential Equations Zanariah Abdul Majid, Mohamed Bin Suleiman and Zurni Omar Abstract. A 3-point implicit block method for solving system of first order ordinary differential equations (ODEs) is proposed. This method approximates the solutions of initial value problems at 3 points simultaneously using variable step size. The stability of the method is also studied. The numerical results show that the method is more efficient than the 3-point implicit block method developed by Rosser [4] in terms of the total number of steps and execution times. 2000 Mathematics Subject Classification: 65L06, 65L05. Full text: PDF