Computer facilitated mathematical techniques of differential equations governing engineering processes
Source: World Review of Science, Technology and Sustainable Development, Volume 5, Numbers 3-4, 14 September 2008 , pp. 234-252(19)
Publisher: Inderscience Publishers
Abstract:Appropriate mathematical methods are very important in solving differential equations modelling engineering and physical processes. The present article introduces the use of symbolic packages as a way to facilitate considerably the search for solutions, and eliminates the drudgery associated with routine algebraic manipulations. A number of examples illustrating various solution techniques such as similarity transformation, eigenfunction expansion, transformation to a class form, and transformation to a suitable coordinate system are provided. These techniques are implemented in Maple, and the provided illustrations show that the complexity of studying engineering processes is significantly reduced. The paper also discusses how attractive and informative graphical displays in animated form can be obtained from the solution.
Document Type: Research Article
Affiliations: 1: The National Institute of Applied Science and Technology in Tunis, Centre Urbain Nord, B.P.N 676, 1080 Tunis Cedex, Tunisia. 2: Department of Mathematics and Statistics, University of Guelph, 50 Stone Road East, Guelph, ON N1G 2W1, Canada
Publication date: September 14, 2008