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Chebyshev orthogonal collocation technique to solve transport phenomena problems with Matlab® and Mathematica
Author(s) -
Binous Housam,
Shaikh Abdullah A.,
Bellagi Ahmed
Publication year - 2015
Publication title -
computer applications in engineering education
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.478
H-Index - 29
eISSN - 1099-0542
pISSN - 1061-3773
DOI - 10.1002/cae.21612
Subject(s) - matlab , computer science , collocation (remote sensing) , orthogonal collocation , boundary value problem , resolution (logic) , numerical analysis , partial differential equation , mathematics , chebyshev polynomials , calculus (dental) , differential equation , collocation method , mathematical analysis , programming language , ordinary differential equation , machine learning , medicine , dentistry
We present in this pedagogical paper an alternative numerical method for the resolution of transport phenomena problems encountered in the teaching of the required course on transport phenomena in the graduate chemical engineering curricula. Based on the Chebyshev orthogonal collocation technique implemented in Matlab® and Mathematica © , we show how different rather complicated transport phenomena problems involving partial differential equations and split boundary value problems can now readily be mastered. A description of several sample problems and the resolution methodology is discussed in this paper. The objective of the incorporation of this approach is to develop the numerical skills of the graduate students at King Fahd University of Petroleum & Minerals (KFUPM) and to broaden the extent of transport‐phenomena problems that can be addressed in the course. We noted with satisfaction that the students successfully adopted this numerical technique for the resolution of problems assigned as term projects. © 2014 Wiley Periodicals, Inc. Comput Appl Eng Educ 23:422–431, 2015; View this article online at wileyonlinelibrary.com/journal/cae ; DOI 10.1002/cae.21612