On the Multidomain Bivariate Spectral Local Linearisation Method for Solving Systems of Nonsimilar Boundary Layer Partial Differential Equations
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-10
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
In this work, a novel approach for solving systems of nonsimilar boundary layer equations over a large time domain is presented.
The method is a multidomain bivariate spectral local linearisation method (MD-BSLLM), Legendre-Gauss-Lobatto grid points, a local linearisation technique, and the spectral collocation method to approximate functions defined as bivariate Lagrange interpolation.
The method is developed for a general system of n nonlinear partial differential equations.
The use of the MD-BSLLM is demonstrated by solving a system of nonlinear partial differential equations that describe a class of nonsimilar boundary layer equations.
Numerical experiments are conducted to show applicability and accuracy of the method.
Grid independence tests establish the accuracy, convergence, and validity of the method.
The solution for the limiting case is used to validate the accuracy of the MD-BSLLM.
The proposed numerical method performs better than some existing numerical methods for solving a class of nonsimilar boundary layer equations over large time domains since it converges faster and uses few grid points to achieve accurate results.
The proposed method uses minimal computation time and its accuracy does not deteriorate with an increase in time.
American Psychological Association (APA)
Magagula, V. M.. 2019. On the Multidomain Bivariate Spectral Local Linearisation Method for Solving Systems of Nonsimilar Boundary Layer Partial Differential Equations. International Journal of Mathematics and Mathematical Sciences،Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1166373
Modern Language Association (MLA)
Magagula, V. M.. On the Multidomain Bivariate Spectral Local Linearisation Method for Solving Systems of Nonsimilar Boundary Layer Partial Differential Equations. International Journal of Mathematics and Mathematical Sciences No. 2019 (2019), pp.1-18.
https://search.emarefa.net/detail/BIM-1166373
American Medical Association (AMA)
Magagula, V. M.. On the Multidomain Bivariate Spectral Local Linearisation Method for Solving Systems of Nonsimilar Boundary Layer Partial Differential Equations. International Journal of Mathematics and Mathematical Sciences. 2019. Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1166373
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1166373