An ordinary differential operator with irregular boundary conditions

1999 ◽  
Vol 40 (1) ◽  
pp. 158-164
Author(s):  
Yu. T. Sil'chenko
Keyword(s):  
Differential Operator ◽  
Boundary Conditions ◽  
Ordinary Differential Operator ◽  
Irregular Boundary ◽  
Irregular Boundary Conditions

Spatial statistics of plate vibration modes with irregular boundary conditions

1997 ◽  
Vol 101 (5) ◽  
pp. 3063-3063
Author(s):  
Michael J. Bakker ◽  
Richard G. DeJong
Keyword(s):  
Boundary Conditions ◽  
Spatial Statistics ◽  
Plate Vibration ◽  
Vibration Modes ◽  
Irregular Boundary ◽  
Irregular Boundary Conditions

scholarly journals Restructuring surface tessellation with irregular boundary conditions

2014 ◽  
Vol 3 (4) ◽  
pp. 337-347 ◽  
Author(s):  
Tsung-Hsien Wang ◽  
Ramesh Krishnamurti ◽  
Kenji Shimada
Keyword(s):  
Boundary Conditions ◽  
Irregular Boundary ◽  
Irregular Boundary Conditions

Improved Point-Matching Techniques Applied to Multi-Region Heat Transfer Problems

1972 ◽  
Vol 94 (2) ◽  
pp. 203-209 ◽  
Author(s):  
D. M. France ◽  
T. Ginsberg
Keyword(s):  
Temperature Distribution ◽  
Boundary Conditions ◽  
Series Solution ◽  
The Other ◽  
Flow Area ◽  
Irregular Boundary ◽  
Nusselt Numbers ◽  
The Difference ◽  
Irregular Boundary Conditions ◽  
Matching Techniques

An analytical method is presented which extends the series solution of the Laplace and Poisson equations with irregular boundary conditions to multi-cell problems. The method employs a least-squares technique of satisfying the boundary conditions on the irregular boundaries and eliminates the use of a finite number of boundary points to satisfy these conditions. The technique is applied to the calculation of the fully developed temperature distribution of a constant-velocity fluid flowing parallel to a semi-infinite square array of circular nuclear fuel rods. The bounding wall of the array is located such that the flow area of the cell associated with the rod adjacent to the wall is different from the (equal) areas of all the other cells. The series solution is compared to a finite-difference solution for a sample case of two cells. The results for the semi-infinite array indicate that while the array temperature distribution is markedly affected by the difference in flow areas, the Nusselt numbers of the rods are relatively unaffected. Typical results are presented for a pitch-to-diameter of 1.2; the flow area of the first cell is 3.67 percent greater than the area of the other cells.

scholarly journals Regular and irregular boundary conditions in the AdS-CFT correspondence

1999 ◽  
Vol 60 (8) ◽  
Author(s):  
W. Mück ◽  
K. S. Viswanathan
Keyword(s):  
Boundary Conditions ◽  
Irregular Boundary ◽  
Irregular Boundary Conditions

Expansion Problems with Irregular Boundary Conditions

1915 ◽  
Vol 51 (7) ◽  
pp. 383 ◽  
Author(s):  
Dunham Jackson
Keyword(s):  
Boundary Conditions ◽  
Irregular Boundary ◽  
Irregular Boundary Conditions

Asymptotic formulas with arbitrary order for nonselfadjoint differential operators

2007 ◽  
Vol 44 (3) ◽  
pp. 391-409 ◽  
Author(s):  
Melda Duman ◽  
Alp Kiraç ◽  
Oktay Veliev
Keyword(s):  
Differential Operator ◽  
Boundary Conditions ◽  
Differential Operators ◽  
Arbitrary Order ◽  
Ordinary Differential Operator ◽  
Asymptotic Formulas ◽  
Eigenvalues And Eigenfunctions ◽  
Order Of Accuracy ◽  
Strongly Regular

We obtain asymptotic formulas with arbitrary order of accuracy for the eigenvalues and eigenfunctions of a nonselfadjoint ordinary differential operator of order n whose coefficients are Lebesgue integrable on [0, 1] and the boundary conditions are strongly regular. The orders of asymptotic formulas are independent of smoothness of the coefficients.

Sign in / Sign up

Export Citation Format

Share Document