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Splitting-up technique and cubic spline approximations for solving modified coupled burgers' equations
Other Title(s)
طريقة فصل المؤثرات و تقريبات الأسبيلاين التكعيبي لحل معادلتي برجر المتقارنتان
Author
Source
Hadhramout University Journal of Natural and Applied Sciences
Issue
Vol. 16, Issue 1 (30 Jun. 2019), pp.41-52, 12 p.
Publisher
Hadhramout University Deanship of Postgraduate Studies and Scientific Research
Publication Date
2019-06-30
Country of Publication
Yemen
No. of Pages
12
Main Subjects
Natural & Life Sciences (Multidisciplinary)
Abstract EN
In this paper, a finite difference scheme based on the splitting-up technique and cubic spline approximations is developed for solving modified coupled Burgers' equations.
The accuracy and stability of the scheme have been analyzed.
It is found that the scheme is of first-order accuracy in time and second-order accuracy in space direction and is unconditionally stable.
The numerical results are obtained with severe/moderate gradients in the initial and boundary conditions and the steady state solutions are plotted for different values of given parameters.
It is concluded that the resulting scheme produces satisfactory results, even in the case of very severe gradient in the solution, and is applicable at both low and high Reynolds numbers.
Also, the general nature of the proposed scheme provides a wider application in the solution of non-linear problems arising in mechanics and other areas.-
American Psychological Association (APA)
Bassaif, Anwar Abd Allah. 2019. Splitting-up technique and cubic spline approximations for solving modified coupled burgers' equations. Hadhramout University Journal of Natural and Applied Sciences،Vol. 16, no. 1, pp.41-52.
https://search.emarefa.net/detail/BIM-1007402
Modern Language Association (MLA)
Bassaif, Anwar Abd Allah. Splitting-up technique and cubic spline approximations for solving modified coupled burgers' equations. Hadhramout University Journal of Natural and Applied Sciences Vol. 16, no. 1 (Jun. 2019), pp.41-52.
https://search.emarefa.net/detail/BIM-1007402
American Medical Association (AMA)
Bassaif, Anwar Abd Allah. Splitting-up technique and cubic spline approximations for solving modified coupled burgers' equations. Hadhramout University Journal of Natural and Applied Sciences. 2019. Vol. 16, no. 1, pp.41-52.
https://search.emarefa.net/detail/BIM-1007402
Data Type
Journal Articles
Language
English
Notes
Text in English ; abstracts in English and Arabic.
Record ID
BIM-1007402