Lie group and RK4 for solving nonlinear first order ODEs

Authors

  • Sami H. Altoum

    umm Alqura University-university College of Qunfoudah

Received date: March 24, 2016

Accepted date: April 20, 2016

Published date: May 11, 2016

DOI:

https://doi.org/10.14419/ijamr.v5i2.6033

Keywords:

Lie group, Symmetry group, Rung-Kutta method, Numerical solution.

Abstract

This paper deals with a numerical comparison between Lie group method and RK4 for solving an nonlinear ordinary differential equation. The Lie group method will be introduced as a analytical method and then compared to RK4 as a numerical method. Some examples will be considered and the global error we be computed numerically.

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How to Cite

Altoum, S. H. (2016). Lie group and RK4 for solving nonlinear first order ODEs. International Journal of Applied Mathematical Research, 5(2), 117-122. https://doi.org/10.14419/ijamr.v5i2.6033

Received date: March 24, 2016

Accepted date: April 20, 2016

Published date: May 11, 2016