Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6422108 | Applied Mathematics and Computation | 2011 | 8 Pages |
Abstract
Third order nonlinear ordinary differential equations, subject to appropriate boundary conditions arising in fluid dynamics, are solved using three different methods viz., the Dirichlet series, method of stretching of variables, and asymptotic function method. Similarity transformations are used to convert the governing partial differential equations into nonlinear ordinary differential equations. The numerical results obtained from the above methods for various problems are given in terms of skin friction. Our study revealed that the results obtained from these methods agree well with those of direct numerical simulation of ordinary differential equations. Also, these methods have advantages over pure numerical methods in obtaining derived quantities such as velocity profile accurately for various values of the parameters at a stretch.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ramesh B. Kudenatti, Vishwanath B. Awati, N.M. Bujurke,