On New High Order Quasilinearization Approaches to the Nonlinear Model of Catalytic Reaction in a Flat Particle
A novel computational approach known as pseudospectral quasilinearization (SQLM) is employed to tackle the two-point boundary value problem describing the reactivity behaviour of porous catalyst particles subject to both internal mass concentration gradients and temperature gradients, in endothermic...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/350810 |
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| _version_ | 1832565925496225792 |
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| author | S. S. Motsa O. D. Makinde S. Shateyi |
| author_facet | S. S. Motsa O. D. Makinde S. Shateyi |
| author_sort | S. S. Motsa |
| collection | DOAJ |
| description | A novel computational approach known as pseudospectral quasilinearization (SQLM) is employed to tackle the two-point boundary value problem describing the reactivity behaviour
of porous catalyst particles subject to both internal mass
concentration gradients and temperature gradients, in
endothermic or exothermic catalytic reactions. A comparison with
the numerical results generated using the inbuilt MATLAB boundary
value solver, bvp4c, for different values of the governing
physical parameters is performed and an excellent agreement is
achieved. A systematic way of improving the convergence of the
SQLM is also presented. |
| format | Article |
| id | doaj-art-60d800a9a1484819a323b9848c44a1d7 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-60d800a9a1484819a323b9848c44a1d72025-02-03T01:06:13ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/350810350810On New High Order Quasilinearization Approaches to the Nonlinear Model of Catalytic Reaction in a Flat ParticleS. S. Motsa0O. D. Makinde1S. Shateyi2School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01, Scottsville, Pietermaritzburg 3209, South AfricaFaculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South AfricaDepartment of Mathematics & Applied Mathematics, University of Venda, Private Bag X5050, Thohoyandou 0950, South AfricaA novel computational approach known as pseudospectral quasilinearization (SQLM) is employed to tackle the two-point boundary value problem describing the reactivity behaviour of porous catalyst particles subject to both internal mass concentration gradients and temperature gradients, in endothermic or exothermic catalytic reactions. A comparison with the numerical results generated using the inbuilt MATLAB boundary value solver, bvp4c, for different values of the governing physical parameters is performed and an excellent agreement is achieved. A systematic way of improving the convergence of the SQLM is also presented.http://dx.doi.org/10.1155/2013/350810 |
| spellingShingle | S. S. Motsa O. D. Makinde S. Shateyi On New High Order Quasilinearization Approaches to the Nonlinear Model of Catalytic Reaction in a Flat Particle Advances in Mathematical Physics |
| title | On New High Order Quasilinearization Approaches to the Nonlinear Model of Catalytic Reaction in a Flat Particle |
| title_full | On New High Order Quasilinearization Approaches to the Nonlinear Model of Catalytic Reaction in a Flat Particle |
| title_fullStr | On New High Order Quasilinearization Approaches to the Nonlinear Model of Catalytic Reaction in a Flat Particle |
| title_full_unstemmed | On New High Order Quasilinearization Approaches to the Nonlinear Model of Catalytic Reaction in a Flat Particle |
| title_short | On New High Order Quasilinearization Approaches to the Nonlinear Model of Catalytic Reaction in a Flat Particle |
| title_sort | on new high order quasilinearization approaches to the nonlinear model of catalytic reaction in a flat particle |
| url | http://dx.doi.org/10.1155/2013/350810 |
| work_keys_str_mv | AT ssmotsa onnewhighorderquasilinearizationapproachestothenonlinearmodelofcatalyticreactioninaflatparticle AT odmakinde onnewhighorderquasilinearizationapproachestothenonlinearmodelofcatalyticreactioninaflatparticle AT sshateyi onnewhighorderquasilinearizationapproachestothenonlinearmodelofcatalyticreactioninaflatparticle |