Research Article

An Effective Numerical Technique for Boundary Value Problems Arising from an Adiabatic Tubular Chemical Reactor Theory

Volume: 11 Number: 3 September 30, 2022
EN

An Effective Numerical Technique for Boundary Value Problems Arising from an Adiabatic Tubular Chemical Reactor Theory

Abstract

Mathematical models for an adiabatic tubular chemical reactor which forms an irreversible exothermic reaction are investigated by an efficient numerical technique, Fibonacci Collocation method in this study. The reaction's steady-state temperature is calculated for several values of three parameters, namely, Peclet and Damkohler numbers and the dimensionless adiabatic temperature increment. When the generated outcomes are compared with the other numerical approaches, it has been sighted that the presented method produces reliable results for this type of problems.

Keywords

References

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  5. N. M. Madbouly, D. F. McGhee, and G. F. Roach, “Adomian's method for Hammerstein integral equations arising from chemical reactor theory,” Applied Mathematics and Computation, vol. 117, no. 2-3, pp. 241–249, 2001.
  6. A. Saadatmandi and M. R. Azizi, “Chebyshev finite difference method for a two-point boundary value problems with applications to chemical reactor theory,” Iranian Journal of Mathematical Chemistry, vol. 3, pp. 1-7, 2012.
  7. M. Zarebnia and R. Parvaz, “B-spline collocation method for numerical solution of the nonlinear two-point boundary value problems with applications to chemical reactor theory,” International Journal of Mathematical Engineering and Science, vol. 3, pp. 6-10, 2014.
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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

September 30, 2022

Submission Date

June 9, 2022

Acceptance Date

September 22, 2022

Published in Issue

Year 2022 Volume: 11 Number: 3

APA
Aydınlık, S. (2022). An Effective Numerical Technique for Boundary Value Problems Arising from an Adiabatic Tubular Chemical Reactor Theory. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 11(3), 857-860. https://doi.org/10.17798/bitlisfen.1128254
AMA
1.Aydınlık S. An Effective Numerical Technique for Boundary Value Problems Arising from an Adiabatic Tubular Chemical Reactor Theory. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2022;11(3):857-860. doi:10.17798/bitlisfen.1128254
Chicago
Aydınlık, Soner. 2022. “An Effective Numerical Technique for Boundary Value Problems Arising from an Adiabatic Tubular Chemical Reactor Theory”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 11 (3): 857-60. https://doi.org/10.17798/bitlisfen.1128254.
EndNote
Aydınlık S (September 1, 2022) An Effective Numerical Technique for Boundary Value Problems Arising from an Adiabatic Tubular Chemical Reactor Theory. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 11 3 857–860.
IEEE
[1]S. Aydınlık, “An Effective Numerical Technique for Boundary Value Problems Arising from an Adiabatic Tubular Chemical Reactor Theory”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 11, no. 3, pp. 857–860, Sept. 2022, doi: 10.17798/bitlisfen.1128254.
ISNAD
Aydınlık, Soner. “An Effective Numerical Technique for Boundary Value Problems Arising from an Adiabatic Tubular Chemical Reactor Theory”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 11/3 (September 1, 2022): 857-860. https://doi.org/10.17798/bitlisfen.1128254.
JAMA
1.Aydınlık S. An Effective Numerical Technique for Boundary Value Problems Arising from an Adiabatic Tubular Chemical Reactor Theory. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2022;11:857–860.
MLA
Aydınlık, Soner. “An Effective Numerical Technique for Boundary Value Problems Arising from an Adiabatic Tubular Chemical Reactor Theory”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 11, no. 3, Sept. 2022, pp. 857-60, doi:10.17798/bitlisfen.1128254.
Vancouver
1.Soner Aydınlık. An Effective Numerical Technique for Boundary Value Problems Arising from an Adiabatic Tubular Chemical Reactor Theory. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2022 Sep. 1;11(3):857-60. doi:10.17798/bitlisfen.1128254

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