Journal of Applied Mathematics
Volume 2013 (2013), Article ID 987905, 8 pages
Research Article

Solving Nonlinear Differential Algebraic Equations by an Implicit Lie-Group Method

Department of Civil Engineering, National Taiwan University, Taipei, Taiwan

Received 26 February 2013; Accepted 28 June 2013

Academic Editor: Alexander Timokha

Copyright © 2013 Chein-Shan Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We derive an implicit Lie-group algorithm together with the Newton iterative scheme to solve nonlinear differential algebraic equations. Four numerical examples are given to evaluate the efficiency and accuracy of the new method when comparing the computational results with the closed-form solutions.