Author/Authors :
Mohd Nasir, Nor Ain Azeany Universiti Putra Malaysia - Faculty of Science - Department of Mathematics, Malaysia , Ibrahim, Zarina Bibi Universiti Putra Malaysia - Faculty of Science - Department of Mathematics, Malaysia , Othman, Khairil Iskandar Universiti Teknologi MARA - Faculty of Computer and Mathematical Sciences - Department of Mathematics, Malaysia , Suleiman, Mohamed Universiti Putra Malaysia - Faculty of Science - Department of Mathematics, Malaysia
Abstract :
This paper describes the development of a two-point implicit code in the form of fifth order Block Backward Differentiation Formulas (BBDF(5)) for solving first order stiff Ordinary Differential Equations (ODEs). This method computes the approximate solutions at two points simultaneously within an equidistant block were computed. Numerical results are presented to compare the efficiency of the developed BBDF(5) to the classical one-point Backward Differentiation Formulas (BDF). The results indicated that the BBDF(5) outperformed the BDF in terms of total number of steps, accuracy and computational time
