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:
Ahmed Saad Rashed Rashed Elsahar
Journal: Mathematical Methods in the Applied Sciences Wiley Volume:
Keywords : Effective numerical technique applied , Burgers' equation    
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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