Archives


Rate this Article: (0) Votes

Research Article

Year : 2018 | Volume: 5 | Issue: 1 | Pages: 17-30

Numerical Solution to Stiff Differential Equations

K Selvakumar1*, 2

DOI: 10.18831/djmaths.org/2019011002

Corresponding author

K Selvakumar*

Department of Mathematics, University College of Engineering, Nagercoil, Anna University, Tamil Nadu, India.

  • 1. Department of Mathematics, University College of Engineering, Nagercoil, Anna University, Tamil Nadu, India.

Received on: 2018/05/21

Revised on: 2018/08/06

Accepted on: 2018/09/06

Published on: 2018/09/12

Abstract

This work presents the numerical solution of stiff differential equation using Euler method. Stability region shows the stability of the numerical solution, and order finger star shows the order of convergence of the numerical solution. Stability regions are plotted to show the application of the explicit method as it is needed in real time situation. The rate of theoretical and numerical order of convergence are derived. Experimental results are described to specify the performance of both numerically and graphically based methods on the metrices such as amplification factor, stability function, stability region, theoretical and numerical rate of order of convergence, absolute and relative errors, percentage of numerical solution accuracy and local and global truncation errors.

Keywords

Stiff problems, Euler’s method, Stability region, Order star finger, Stiff differential equation.