Multiple-Scales Method and Numerical Simulation of Singularly Perturbed Boundary Layer Problems

Authors

Parul Gupta, Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad 211004, India.Follow
Manoj Kumar, Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad 211004, India.Follow

Author Country (or Countries)

India.

Abstract

In this paper, Multiple-scales method is presented for solving second and third order singularly perturbed problems with the boundary layer at one end either left or right. The original second and third order ordinary differential equations are transformed to partial differential equations. These problems have been solved efficiently by using multiple-scales method and Numerical simulations are performed on standard test examples to justify the robustness of the proposed method.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100330

Recommended Citation

Gupta, Parul and Kumar, Manoj (2016) "Multiple-Scales Method and Numerical Simulation of Singularly Perturbed Boundary Layer Problems," Applied Mathematics & Information Sciences: Vol. 10: Iss. 3, Article 30.
DOI: http://dx.doi.org/10.18576/amis/100330
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss3/30