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On the Solution of Double-Diffusive Convective Flow due to a Cone by a Linearization Method
Joint Authors
Sibanda, Precious
Narayana, Mahesha
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-07
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
The paper details the use of a nonperturbation successive linearization method to solve the coupled nonlinear boundary value problem due to double-diffusive convection from an inverted cone.
Diffusion-thermo and thermal-diffusion effects have been taken into account.
The governing partial differential equations are transformed into ordinary differential equations using a suitable similarity transformation.
The SLM is based on successively linearizing the governing nonlinear boundary layer equations and solving the resulting higher-order deformation equations using spectral methods.
The results are compared with the limited cases from previous studies and results obtained using the Matlab inbuilt bvp4c numerical algorithm and a shooting technique that uses Runge-Kutta-Fehlberg (RKF45) and Newton-Raphson schemes.
These comparisons reveal the robustness and validate the usage of the linearisation method technique.
The results show that the nonperturbation technique in combination with the Chebyshev spectral collocation method is an efficient numerical algorithm with assured convergence that serves as an alternative to numerical methods for solving nonlinear boundary value problems.
American Psychological Association (APA)
Narayana, Mahesha& Sibanda, Precious. 2012. On the Solution of Double-Diffusive Convective Flow due to a Cone by a Linearization Method. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-993398
Modern Language Association (MLA)
Narayana, Mahesha& Sibanda, Precious. On the Solution of Double-Diffusive Convective Flow due to a Cone by a Linearization Method. Journal of Applied Mathematics No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-993398
American Medical Association (AMA)
Narayana, Mahesha& Sibanda, Precious. On the Solution of Double-Diffusive Convective Flow due to a Cone by a Linearization Method. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-993398
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993398