The Chebyshev matrix collocation method is applied to obtain the spatial modes of the Orr-Sommerfeld equation for Poiseuille flow and the Blausius boundary layer. The problem is linearized by the companion matrix technique for semi-infinite domain using a mapping transformation. The method can be easily adapted to problems with different boundary conditions requiring different transformations
In this paper, we present a new collocation method based on Chelyshkov polynomials for solving the...
The initial stage of the transition process in the incompressible flow of a boundary layer over a f...
AbstractA physically-based computational technique was investigated which is intended to estimate an...
A Chebyshev matrix collocation method is outlined for the solution of the Orr-Sommerfeld equation fo...
The discrete spectrum of the Orr-Sommerfeld problem of hydrodynamic stability for boundary layer flo...
A numerical investigation of the temporal eigenvalue spectrum of the ORR-Sommerfeld equation is pres...
This paper describes a Chebyshev collocation method for solving the eigenvalue problem that governs ...
This paper describes a Chebyshev collocation method for solving the eigenvalue problem that governs ...
Abstract. A spectral collocation method is used to obtain the solution to the Orr-Sommerfeld stabili...
AbstractA Chebyshev expansion method for the solution of boundary-value problems of O.D.E. type is p...
AbstractWhen a Chebyshev spectral collocation method is applied to a flow problem in a rectangularly...
The Chebyshev tau method is examined; a numerical technique which in recent years has been successfu...
A matrix method, which is called the Chebyshev-matrix method, for the approximate solution of linear...
The present quot;Guidequot; aims to introduce- through selected examples the use of the spectral col...
Kyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionalit...
In this paper, we present a new collocation method based on Chelyshkov polynomials for solving the...
The initial stage of the transition process in the incompressible flow of a boundary layer over a f...
AbstractA physically-based computational technique was investigated which is intended to estimate an...
A Chebyshev matrix collocation method is outlined for the solution of the Orr-Sommerfeld equation fo...
The discrete spectrum of the Orr-Sommerfeld problem of hydrodynamic stability for boundary layer flo...
A numerical investigation of the temporal eigenvalue spectrum of the ORR-Sommerfeld equation is pres...
This paper describes a Chebyshev collocation method for solving the eigenvalue problem that governs ...
This paper describes a Chebyshev collocation method for solving the eigenvalue problem that governs ...
Abstract. A spectral collocation method is used to obtain the solution to the Orr-Sommerfeld stabili...
AbstractA Chebyshev expansion method for the solution of boundary-value problems of O.D.E. type is p...
AbstractWhen a Chebyshev spectral collocation method is applied to a flow problem in a rectangularly...
The Chebyshev tau method is examined; a numerical technique which in recent years has been successfu...
A matrix method, which is called the Chebyshev-matrix method, for the approximate solution of linear...
The present quot;Guidequot; aims to introduce- through selected examples the use of the spectral col...
Kyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionalit...
In this paper, we present a new collocation method based on Chelyshkov polynomials for solving the...
The initial stage of the transition process in the incompressible flow of a boundary layer over a f...
AbstractA physically-based computational technique was investigated which is intended to estimate an...