Title of article :
Solving Delay Differential Equations by Using Implicit 2-Point Block Backward Differentiation Formula
Author/Authors :
Heng, S. C. Universiti Putra Malaysia - Faculty of Science - Mathematics Department, Malaysia , Ibrahim, Z. B. Universiti Putra Malaysia - Faculty of Science - Mathematics Department, Malaysia , Suleiman, M. Universiti Putra Malaysia - Faculty of Science - Mathematics Department, Malaysia , Ismail, F. Universiti Putra Malaysia - Faculty of Science - Mathematics Department, Malaysia
Abstract :
In this paper, an implicit 2-point Block Backward Differentiation formula (BBDF) method was considered for solving Delay Differential Equations (DDEs). The method was implemented by using a constant stepsize via Newton Iteration. This implicit block method was expected to produce two points simultaneously. The efficiency of the method was compared with the existing classical 1-point Backward Differentiation Formula (BDF) in terms of execution time and accuracy.
Keywords :
Block Backward Differentiation formula , Delay Differential Equations , Interpolations
Journal title :
Pertanika Journal of Science and Technology ( JST)
Journal title :
Pertanika Journal of Science and Technology ( JST)