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Boundary-domain integral method and homotopy analysis method for systems of nonlinear boundary value problems in environmental engineering
Joint Authors
al-Jawari, Majid Ahmad
Rahdi, G. H.
Ravnik, J.
Source
Arab Journal of Basic and Applied Sciences
Issue
Vol. 27, Issue 1 (30 Jun. 2020), pp.120-133, 14 p.
Publisher
University of Bahrain College of Science
Publication Date
2020-06-30
Country of Publication
Bahrain
No. of Pages
14
Main Subjects
Abstract EN
In this paper we present the development of numerical methods for two problems in chemical engineering: adsorption of carbon dioxide into phenyl glycidyl ether and diffusion and reaction processes in a porous catalyst.
Both problems are modelled by systems of two coupled nonlinear ordinary differential equations.
Dirichlet and Neumann type boundary conditions are considered.
We develop the standard homotopy analysis method and the boundary-domain element method to solve for the unknown steady-state concentrations of reactants.
The validity of the proposed methods is checked and demonstrated by numerical examples.
Convergence rates are compared and the advantages and drawbacks of the proposed methods are discussed and compared to the Mathematica NDSOLVE solver.
We show, that the proposed homotopy analysis method features exponential convergence rate and is highly accurate and efficient.
As low as 6 terms are needed to reach error norms of
American Psychological Association (APA)
al-Jawari, Majid Ahmad& Rahdi, G. H.& Ravnik, J.. 2020. Boundary-domain integral method and homotopy analysis method for systems of nonlinear boundary value problems in environmental engineering. Arab Journal of Basic and Applied Sciences،Vol. 27, no. 1, pp.120-133.
https://search.emarefa.net/detail/BIM-957388
Modern Language Association (MLA)
Rahdi, G. H.…[et al.]. Boundary-domain integral method and homotopy analysis method for systems of nonlinear boundary value problems in environmental engineering. Arab Journal of Basic and Applied Sciences Vol. 27, no. 1 (2020), pp.120-133.
https://search.emarefa.net/detail/BIM-957388
American Medical Association (AMA)
al-Jawari, Majid Ahmad& Rahdi, G. H.& Ravnik, J.. Boundary-domain integral method and homotopy analysis method for systems of nonlinear boundary value problems in environmental engineering. Arab Journal of Basic and Applied Sciences. 2020. Vol. 27, no. 1, pp.120-133.
https://search.emarefa.net/detail/BIM-957388
Data Type
Journal Articles
Language
English
Notes
Includes appendix : p. 133
Record ID
BIM-957388