Journal of Applied Mathematics

Solving Nonlinear Differential Algebraic Equations by an Implicit GL(n,) Lie-Group Method

Chein-Shan Liu

Full-text: Open access

Abstract

We derive an implicit GL(n,) 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.

Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 987905, 8 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394808055

Digital Object Identifier
doi:10.1155/2013/987905

Mathematical Reviews number (MathSciNet)
MR3082032

Zentralblatt MATH identifier
1271.65086

Citation

Liu, Chein-Shan. Solving Nonlinear Differential Algebraic Equations by an Implicit $GL\left(n,ℝ\right)$ Lie-Group Method. J. Appl. Math. 2013 (2013), Article ID 987905, 8 pages. doi:10.1155/2013/987905. https://projecteuclid.org/euclid.jam/1394808055


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