Numerical Simulation for the System of Ordinary Differential Equations

Article Preview

Abstract:

Two coupled small parameter ordinary differential equations were considered. The solutions of differential equations will change rapidly near both sides of the boundary layer. Firstly, the properties were studied for differential equations. Secondly, the asymptotic properties of differential equations were discussed. Thirdly, the numerical methods with zero approximation were constructed for both left side and right side singular component differential equations. Finally, error analyses were given.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 179-180)

Pages:

37-42

Citation:

Online since:

January 2011

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2011 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] P. Farrell, A.F. Hegarty, J.J.H. Miller, E. O'Riordan and G.I. Shishkin. in: Robust Computational Techniques for Boundary layers. Boca Raton: Chapman and Hall/CRC, (2000).

DOI: 10.1201/9781482285727

Google Scholar

[2] J.J.H. Miller, E. O'Riordan and G.I. Shishkin. in: Fitted Numerical Methods for Singular Perturbation Problems. Singapore: World Scientific, (1996).

Google Scholar

[3] X. Cai: Applied Mathematics and Mechanics Vol. 10 (2001), p.1210.

Google Scholar

[4] X. Cai and F. Liu: Journal of Computational and Applied Mathematic Vol. 166 (2004), p.31.

Google Scholar

[5] X. Cai: Applied Mathematics and Mechanics Vol. 30 (2009), p.175.

Google Scholar

[6] S. Matthewsa, E. O'Riordana, G.I. Shishkinb: Journal of Computational and Applied Mathematics Vol. 145 (2002), p.151.

Google Scholar

[7] J.J.H. Miller, E. O'Riordan and G.I. Shishkin. in: Proceedings of the Fifth International Colloquium on Numerical Analysis, 1996, Plovdiv, Bulgaria Academic Publications (2000).

Google Scholar

[8] Z. Cen: Journal of Computational and Applied Mathematics Vol. 221 (2008), p.174.

Google Scholar

[9] A. Quarteroni, A. Valli. in: Numerical Approximation of Partial Differential Equations. Springer-Verlag, (1998).

Google Scholar