Alternating direction Galerkin method of solving the third boundary value problem for two-dimensional parabolic equations

1987 ◽  
Vol 2 (6) ◽  
Author(s):  
YU. M. LAEVSKY
Keyword(s):  
Boundary Value Problem ◽  
Galerkin Method ◽  
Parabolic Equations ◽  
Boundary Value ◽  
Two Dimensional ◽  
The Third ◽  
Alternating Direction ◽  
Third Boundary Value Problem

scholarly journals Eigenvalues of the Laplacian for the third boundary value problem

1987 ◽  
Vol 29 (1) ◽  
pp. 79-87 ◽  
Author(s):  
E. M. E. Zayed
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Spectral Function ◽  
Boundary Value ◽  
Two Dimensional ◽  
Impedance Boundary ◽  
Impedance Boundary Conditions ◽  
The Third ◽  
Eigenvalues Of The Laplacian ◽  
Third Boundary Value Problem

AbstractThe spectral function , where are the eigenvalues of the two-dimensional Laplacian, is studied for a variety of domains. The dependence of θ(t) on the connectivity of a domain and the impedance boundary conditions is analysed. Particular attention is given to a doubly-connected region together with the impedance boundary conditions on its boundaries.

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