A CHEBYSHEV METHOD FOR THE SOLUTION OF BOUNDARY VALUE PROBLEMS
NASR, H., HASSANIEN, I., EL-HAWARY, H. (1989). A CHEBYSHEV METHOD FOR THE SOLUTION OF BOUNDARY VALUE PROBLEMS. EKB Journal Management System, 3(ASAT Conference 4-6 April 1989 , CAIRO), 43-56. doi: 10.21608/asat.1989.25864
H. NASR; I. A. HASSANIEN; H. M. EL-HAWARY. "A CHEBYSHEV METHOD FOR THE SOLUTION OF BOUNDARY VALUE PROBLEMS". EKB Journal Management System, 3, ASAT Conference 4-6 April 1989 , CAIRO, 1989, 43-56. doi: 10.21608/asat.1989.25864
NASR, H., HASSANIEN, I., EL-HAWARY, H. (1989). 'A CHEBYSHEV METHOD FOR THE SOLUTION OF BOUNDARY VALUE PROBLEMS', EKB Journal Management System, 3(ASAT Conference 4-6 April 1989 , CAIRO), pp. 43-56. doi: 10.21608/asat.1989.25864
NASR, H., HASSANIEN, I., EL-HAWARY, H. A CHEBYSHEV METHOD FOR THE SOLUTION OF BOUNDARY VALUE PROBLEMS. EKB Journal Management System, 1989; 3(ASAT Conference 4-6 April 1989 , CAIRO): 43-56. doi: 10.21608/asat.1989.25864

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  XML PDF (2.67 MB)
Document Type: Original Article
DOI: 10.21608/asat.1989.25864
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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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