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Effective numerical technique applied for Burgers' equation of (1 + 1)‐, (2 + 1)‐dimensional, and coupled forms
Author(s) -
Mohamed Norhan A.,
Rashed Ahmed S.,
Melaibari Ammar,
Sedighi Hamid M.,
Eltaher Mohamed A.
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7395
Subject(s) - mathematics , burgers' equation , quadrature (astronomy) , mathematical analysis , numerical analysis , differential equation , electrical engineering , engineering
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 L 2 and L ∞ compared to other methods. The results were evaluated at different values of Reynold's number, Re , and viscosity, ν .