Journal of Engineering and Applied Sciences

98
Views

0
Downloads

Development of A-Stable Block Method for the Solution of Stiff Ordinary Differential Equations

Nursyazwani Mohamad Noor and Zarina Bibi Ibrahim
Page: 8160-8167 | Received 21 Sep 2022, Published online: 21 Sep 2022

By Research Area

Medicine & Public Health Life Sciences Engineering Mathematics Biomedicine Physics Chemistry Computer Science Earth Sciences Social Sciences Business and Management Psychology Materials Science Economics Education Environment Philosophy Statistics Law Political Science and International Relations Pharmacy Dentistry Energy Linguistics Geography Finance Criminology and Criminal Justice Medicine Cultural and Media Studies History Architecture / Design Literature Biomedical Sciences Religious Studies Education & Language Food Science & Nutrition Public Health

By Volume and Issue

Abstract

A fixed step-size multistep block method for stiff Ordinary Differential Equations (ODEs) using the 2-point Block Backward Differentiation Formulas (BBDF) with improved efficiency is established. The method is developed using Taylor’s series expansion. The order and the error constant of the method are determined. To validate the new method is suitable for solving stiff ODEs, the stability and convergence properties are discussed. Numerical results indicate that the new method produced better accuracy than the existing methods when sloving the same problems.

How to cite this article:

Nursyazwani Mohamad Noor and Zarina Bibi Ibrahim. Development of A-Stable Block Method for the Solution of Stiff Ordinary Differential Equations.
DOI: https://doi.org/10.36478/jeasci.2019.8160.8167
URL: https://www.makhillpublications.co/view-article/1816-949x/jeasci.2019.8160.8167