Title of article :
3-Point Implicit Block Method for Solving Ordinary Differential Equations
Author/Authors :
Abdul Majid, Zanariah Universiti Putra Malaysia - Faculty of Science - Mathematics Department, Malaysia , Bin Suleiman, Mohamed Universiti Putra Malaysia - Faculty of Science - Mathematics Department, Malaysia , Omar, Zurni Universiti Utara Malaysia - Faculty of Quantitative Science, Malaysia
Abstract :
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.
Keywords :
3 , point , implicit block method , ordinary differential equations.
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
