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

Author

Liu, Chein-Shan

Source

Journal of Applied Mathematics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-07-16

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Liu, Chein-Shan. 2013. Solving Nonlinear Differential Algebraic Equations by an Implicit GL(n,ℝ) Lie-Group Method. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-513948

Modern Language Association (MLA)

Liu, Chein-Shan. Solving Nonlinear Differential Algebraic Equations by an Implicit GL(n,ℝ) Lie-Group Method. Journal of Applied Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-513948

American Medical Association (AMA)

Liu, Chein-Shan. Solving Nonlinear Differential Algebraic Equations by an Implicit GL(n,ℝ) Lie-Group Method. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-513948

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-513948