The chebyshev spectral method with a restraint operator for burgers equation

1994 ◽  
Vol 9 (3) ◽  
pp. 213-222 ◽  
Author(s):  
Ma Heping ◽  
Guo Benyu
Keyword(s):  
Spectral Method ◽  
Burgers Equation ◽  
Chebyshev Spectral Method

scholarly journals New Solutions for System of Fractional Integro-Differential Equations and Abel’s Integral Equations by Chebyshev Spectral Method

2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
Hassan A. Zedan ◽  
Seham Sh. Tantawy ◽  
Yara M. Sayed
Keyword(s):  
Exact Solution ◽  
Differential Equations ◽  
Integral Equations ◽  
Spectral Method ◽  
Operational Matrix ◽  
Numerical Results ◽  
Efficient Technique ◽  
Test Problems ◽  
Chebyshev Spectral Method

Chebyshev spectral method based on operational matrix is applied to both systems of fractional integro-differential equations and Abel’s integral equations. Some test problems, for which the exact solution is known, are considered. Numerical results with comparisons are made to confirm the reliability of the method. Chebyshev spectral method may be considered as alternative and efficient technique for finding the approximation of system of fractional integro-differential equations and Abel’s integral equations.

A chebyshev spectral method for gas transients in pipelines

1985 ◽  
Vol 48 (3) ◽  
pp. 329-352 ◽  
Author(s):  
Viliam Battarra ◽  
Claudio Canuto ◽  
Alfio Quarteroni
Keyword(s):  
Spectral Method ◽  
Chebyshev Spectral Method

A Chebyshev spectral method for boundary-layer models

1984 ◽  
Vol 33 (2-3) ◽  
pp. 117-126
Author(s):  
W. H. Schubert ◽  
G. D. Taylor ◽  
S. R. Fulton ◽  
M. DeMaria
Keyword(s):  
Boundary Layer ◽  
Spectral Method ◽  
Chebyshev Spectral Method
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