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

Chein-Shan Liu

doi:10.1155/2013/987905

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Home > Journals > J. Appl. Math. > Volume 2013 > Article

2013 Solving Nonlinear Differential Algebraic Equations by an Implicit

GL\left(n,ℝ\right)

Lie-Group Method

Chein-Shan Liu

J. Appl. Math. 2013: 1-8 (2013). DOI: 10.1155/2013/987905

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Abstract

We derive an implicit $GL\left(n,ℝ\right)$ 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.

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Chein-Shan Liu. "Solving Nonlinear Differential Algebraic Equations by an Implicit $GL\left(n,ℝ\right)$ Lie-Group Method." J. Appl. Math. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/987905