A CHEBYSHEV METHOD FOR THE SOLUTION OF BOUNDARY VALUE PROBLEMS | ||||
International Conference on Aerospace Sciences and Aviation Technology | ||||
Article 5, Volume 3, ASAT Conference 4-6 April 1989 , CAIRO, April 1989, Page 43-56 PDF (2.67 MB) | ||||
Document Type: Original Article | ||||
DOI: 10.21608/asat.1989.25864 | ||||
View on SCiNiTO | ||||
Authors | ||||
H. NASR1; I. A. HASSANIEN2; H. M. EL-HAWARY3 | ||||
1Military Technical College, Kobbri'El-Kobba, Cairo, Egypt. | ||||
2Faculty of Science, Assiut Unive•sity, Assiut, Egypt. | ||||
3Faculty of Science, Assiut University, Assiut, Egypt. | ||||
Abstract | ||||
An expansion procedure using the Chebyshev polynomials is proposed by using El-Gendi method [1], which yields more accurate results than those computed by D.Hatziavrmidis [2] as indicated from solving the Orr-Sommerfeld equation for both the plane poiseuille flow and the Blasius velocity profile. The present results are also more accurate results than those computed by A.R.Wadia & F.R.Fayne C31 as indicated from solving the Falkner-Skan equation, which uses a boundary value technique. This method is accomplished by starting with Chebyshev approximation for the highest-order derivative and generating approximations to the lower-order derivatives through integration of the highest-order derivative. | ||||
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