Method for calculating boundary value problems in heat conduction for the cylindrical cavity and the half space, by means of convolution integrals

1961 ◽  
Vol 12 (1) ◽  
pp. 14-19 ◽  
Author(s):  
D W Jordan
Keyword(s):  
Heat Conduction ◽  
Boundary Value Problems ◽  
Half Space ◽  
Cylindrical Cavity ◽  
Boundary Value ◽  
Convolution Integrals

scholarly journals A Note on an asymmetric mixed boundary value problem for a half space with a cylindrical cavity

1965 ◽  
Vol 7 (1) ◽  
pp. 45-47
Author(s):  
Prem Narain
Keyword(s):  
Boundary Value Problems ◽  
Half Space ◽  
Cylindrical Cavity ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Subsequent Paper ◽  
Dual Integral Equations ◽  
Mixed Boundary Value Problems ◽  
Asymmetric Problem ◽  
Type Boundary

In recent years interest in the mixed boundary value problems of mathematical physics has increased appreciably because of various applications. The mixed boundary value problems for simply-connected regions have been investigated widely and it can reasonably be hoped that within a short time the theory will reach a satisfactory stage. It appears, however, that very few problems for multiply-connected domains have been solved. Recently Srivastav [2] has considered the problem of rinding an axisymmetric potential function for a half space with a cylindrical cavity subject to mixed type boundary conditions. In a subsequent paper [1], Srivastav extends the analysis to the asymmetric problem and formulates the problem in terms of dual integral equations involving Bessel functions of the first and second kinds whose solution leads to the solution of the potential problem. The latter paper, however, involves heavy manipulations and complicated contour integrals.

scholarly journals On the Boundary Value Problems of Circular Loading for Transversely Isotropic Piezoelectric Half Space.

2001 ◽  
Vol 44 (4) ◽  
pp. 462-471 ◽  
Author(s):  
IGN Wiratmaja PUJA ◽  
Toshikazu SHIBUYA ◽  
Kikuo KISHIMOTO ◽  
Hirotsugu INOUE
Keyword(s):  
Boundary Value Problems ◽  
Half Space ◽  
Boundary Value ◽  
Transversely Isotropic
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