Stable Numerical Solution of the Adsorption Integral Equation Using Splines

Langmuir ◽  
1994 ◽  
Vol 10 (8) ◽  
pp. 2778-2785 ◽  
Author(s):  
Jacek Jagiello
Keyword(s):  
Integral Equation ◽  
Numerical Solution ◽  
Adsorption Integral Equation

Rods falling near a vertical wall

1977 ◽  
Vol 83 (2) ◽  
pp. 273-287 ◽  
Author(s):  
W. B. Russel ◽  
E. J. Hinch ◽  
L. G. Leal ◽  
G. Tieffenbruck
Keyword(s):  
Integral Equation ◽  
Viscous Fluid ◽  
Numerical Solution ◽  
Vertical Wall ◽  
Numerical Results ◽  
Slender Body ◽  
Asymptotic Results ◽  
Slender Body Theory ◽  
Friction Coefficients ◽  
Body Theory

As an inclined rod sediments in an unbounded viscous fluid it will drift horizontally but will not rotate. When it approaches a vertical wall, the rod rotates and so turns away from the wall. Illustrative experiments and a slender-body theory of this phenomenon are presented. In an incidental study the friction coefficients for an isolated rod are found by numerical solution of the slender-body integral equation. These friction coefficients are compared with the asymptotic results of Batchelor (1970) and the numerical results of Youngren ' Acrivos (1975), who did not make a slender-body approximation.

scholarly journals On the numerical solution of an Abel integral equation

1979 ◽  
Vol 16 (3) ◽  
pp. 497-503
Author(s):  
R. Smarzewski ◽  
H. Malinowski
Keyword(s):  
Integral Equation ◽  
Numerical Solution ◽  
Abel Integral Equation
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