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Solution of six chemical engineering problems using the Chebyshev orthogonal collocation technique
Author(s) -
Binous Housam,
Kaddeche Slim,
Bellagi Ahmed
Publication year - 2017
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.21823
Subject(s) - orthogonal collocation , chebyshev polynomials , collocation (remote sensing) , boundary value problem , simplicity , mathematics , computer science , mathematical software , chebyshev filter , momentum (technical analysis) , mathematical optimization , collocation method , software , mathematical analysis , differential equation , ordinary differential equation , philosophy , epistemology , machine learning , finance , economics , programming language
The Chebyshev orthogonal collocation is a powerful and accurate numerical technique, which is also relatively easy to implement using modern mathematical software (e.g., M ATHEMATICA © and M ATLAB ® ). This technique allows the elucidation of engineering problems involving partial differentials equations or boundary value problems. Six chemical engineering problems concerning the transfer of momentum, heat, and mass, with varying degree of complexity, are elucidated. The results obtained using the subject numerical technique were systematically bench‐marked against the results derived from alternative approaches. Benchmarking indicates good agreement between the results, despite the simplicity of this technique. Thus, this technique has a great potential for the elucidation of problems, for which no known solutions exist.