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Effective numerical technique applied for Burgers' equation of (1 + 1)-, (2 + 1)-dimensional, and coupled forms
Faculty
Engineering
Year:
2021
Type of Publication:
ZU Hosted
Pages:
Authors:
Norhan Alaaeldeen Mohamed Ali Hsan
Staff Zu Site
Abstract In Staff Site
Journal:
Mathematical Methods in the Applied Sciencee John Wiley & Sons, Ltd
Volume:
Keywords :
Effective numerical technique applied , Burgers' equation of
Abstract:
A numerical scheme based on backward differentiation formula (BDF) and generalized differential quadrature method (GDQM) has been developed. The proposed scheme has been employed to investigate three cases of Burgers' equation, one-dimensional, two-dimensional, and two-dimensional coupled models. The results showed effectiveness accuracy in absolute error and error norms L2 and L∞ compared to other methods. The results were evaluated at different values of Reynold's number, Re, and viscosity, ν.
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Norhan Alaaeldeen Mohamed Ali Hsan , "Solving one- and two-dimensional unsteady Burgers' equation using fully implicit finite difference schemes", Taylor & Francis Group, 2019
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Norhan Alaaeldeen Mohamed Ali Hsan , "Effective numerical technique applied for Burgers' equation of (1+1)-, (2+1)-dimensional, and coupled forms", Wiley, 2021
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Ola Ragab Abdou Mohamed, "Analysis of Composite Plates Using Moving Least Squares Differential Quadrature Method", Science Direct, 2014
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Mohamed Mohamed Ali Mohamed Saied, "Three Resultant Applications In Surface Modeling For Computer Graphics", Second National Conference of Mathematics, Cairo 6-11 April 1996, 1996
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