ismai, I., ismail, I. (1999). Temporal Analysis to The Solution of Burgers' Equation Using Spect Methodl. test, 3(EIJEST, Vol. 3, 1999), 7-8. doi: 10.21608/eijest.1999.96504
I.A ismai; I.A ismail. "Temporal Analysis to The Solution of Burgers' Equation Using Spect Methodl". test, 3, EIJEST, Vol. 3, 1999, 1999, 7-8. doi: 10.21608/eijest.1999.96504
ismai, I., ismail, I. (1999). 'Temporal Analysis to The Solution of Burgers' Equation Using Spect Methodl', test, 3(EIJEST, Vol. 3, 1999), pp. 7-8. doi: 10.21608/eijest.1999.96504
ismai, I., ismail, I. Temporal Analysis to The Solution of Burgers' Equation Using Spect Methodl. test, 1999; 3(EIJEST, Vol. 3, 1999): 7-8. doi: 10.21608/eijest.1999.96504

Temporal Analysis to The Solution of Burgers' Equation Using Spect Methodl

The Egyptian International Journal of Engineering Sciences and Technology
Article 7, Volume 3, EIJEST, Vol. 3, 1999, June 1999, Pages 7-8    PDF (63.18 K)
Document Type: Original Article
DOI: 10.21608/eijest.1999.96504
Authors
I.A ismai; I.A ismail*
Faculty of Engineering, Zagazig University
Abstract
The physically important Burgers' equation is solved using the spectral method
technique with the orthogonal Chebyshev polynomials as its basis functions with some
given boundary conditions. The same problem is again solved utilizing a transformation
method that transforms Burgers' equation to a diffusion equation where the solution to
Burgers' equation is easily found. Nevertheless, the solution to the same problem is found
using a finite difference method. To find the best solution, these three methods are
compared; concluding that numberically the spectral method is highly accurate
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