A Numerical Integration Method for Singular Perturbation Problems

Date Published: 2007-04-16

Paper Number: 2007-01-0414

DOI: 10.4271/2007-01-0414

Citation:

Ravi Kanth, A., Reddy, Y., and Dukkipati, R., "A Numerical Integration Method for Singular Perturbation Problems," SAE Technical Paper 2007-01-0414, 2007, doi:10.4271/2007-01-0414.

Author(s):

A. S. V. Ravi Kanth - Vellore Institute of Technology
Y. N. Reddy - National Institute of Technology
Rao V. Dukkipati - Fairfield Univ.

Abstract:

A numerical integration method is developed for solving more general singular perturbation problems. Firstly, we discuss the problems with mixed boundary conditions and a left end boundary layer. Secondly, we discuss the singular-singular perturbation problems. Finally, we discuss the problems with mixed boundary conditions and a right end layer. Numerical experiments with the method for several model linear and non-linear examples with left end boundary layer or right end boundary layer are presented and compared with exact solutions.

File Size: 152K

Product Status: In Stock

Included in: SP-2072

See papers presented at SAE World Congress & Exhibition, April 2007, Detroit, MI, USA, Session: Digital Modeling, Design Tools and Virtual Development

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