Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas

Nor Ain Azeany Mohd Nasir, and Zarina Bibi Ibrahim, and Khairil Iskandar Othman, and Mohamed Suleiman, (2012) Numerical solution of first order stiff ordinary differential equations using fifth order block backward differentiation formulas. Sains Malaysiana, 41 (4). pp. 489-492. ISSN 0126-6039

[img]
Preview
PDF
412kB

Official URL: http://www.ukm.my/jsm

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. 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.

Item Type:Article
Keywords:Block method; ordinary differential equation
Journal:Sains Malaysiana
ID Code:3940
Deposited By: Mr Azam
Deposited On:26 Mar 2012 11:00
Last Modified:14 Dec 2016 06:35

Repository Staff Only: item control page