An Integral Equation Method for a Problem with Mixed Boundary Conditions

1990 ◽  
Vol 21 (4) ◽  
pp. 917-934 ◽  
Author(s):  
William McLean
Keyword(s):  
Integral Equation ◽  
Boundary Conditions ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Integral Equation Method ◽  
Equation Method

scholarly journals The dual integral equation method in hydromechanical systems

2004 ◽  
Vol 2004 (6) ◽  
pp. 447-460 ◽  
Author(s):  
N. I. Kavallaris ◽  
V. Zisis
Keyword(s):  
Integral Equation ◽  
Potential Function ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Integral Equation Method ◽  
Equation Method ◽  
Dual Integral Equation ◽  
Spherical Coordinates ◽  
Steady State Heat

Some hydromechanical systems are investigated by applying the dual integral equation method. In developing this method we suggest from elementary appropriate solutions of Laplace's equation, in the domain under consideration, the introduction of a potential function which provides useful combinations in cylindrical and spherical coordinates systems. Since the mixed boundary conditions and the form of the potential function are quite general, we obtain integral equations withmth-order Hankel kernels. We then discuss a kind of approximate practicable solutions. We note also that the method has important applications in situations which arise in the determination of the temperature distribution in steady-state heat-conduction problems.

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