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

Chein-Shan Liu

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: We derive an implicit GL(n, ℝ) 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.

Date: 2013
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https://doi.org/10.1155/2013/987905

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:987905

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