Academic Journals Database
Disseminating quality controlled scientific knowledge

Performance of 4-Point Diagonally Implicit Block Method for Solving Ordinary Differential Equations

ADD TO MY LIST
 
Author(s): Zanariah Abdul Majid | Mohamed Suleiman

Journal: Matematika
ISSN 0127-8274

Volume: 22;
Issue: 2;
Start page: 137;
Date: 2006;
VIEW PDF   PDF DOWNLOAD PDF   Download PDF Original page

Keywords: 4-Point | Implicit Block Method | Block Method | Ordinary Differential Equations.

ABSTRACT
This paper describes the development of a 4-point diagonally implicit block method for solving first order Ordinary Differential Equations (ODEs) using variable step size. This method will estimate the solutions of Initial Value Problems (IVPs) at four points simultaneously. The method developed is suitable for the numerical integration of non stiff and mildly stiff differential systems. The performances of the 4-point block method are compared in terms of maximum error and total number of steps to the non block method 1PVSO.
Save time & money - Smart Internet Solutions      Why do you need a reservation system?