Analytical Approximation for the Generalized Laplace Equation with Step Function Coefficient

2008 ◽  
Vol 68 (5) ◽  
pp. 1268-1281 ◽  
Author(s):  
R. F. Sviercoski ◽  
C. L. Winter ◽  
A. W. Warrick
Keyword(s):  
Laplace Equation ◽  
Analytical Approximation ◽  
Step Function ◽  
Function Coefficient ◽  
Generalized Laplace Equation

scholarly journals Analytical functions of generalized complex variables and some appllications

2014 ◽  
Vol 5 (1) ◽  
pp. 569-575
Author(s):  
Bimurat Sagindykov
Keyword(s):  
Fluid Dynamics ◽  
Elasticity Theory ◽  
Laplace Equation ◽  
Complex Variable ◽  
Complex Variables ◽  
Poisson Formula ◽  
Generalized Poisson ◽  
Analytical Functions ◽  
Generalized Complex ◽  
Generalized Laplace Equation

The object of this work is to use functions of a generalized complex variable to solve the problems of fluid dynamics and elasticity theory. In this paper, we obtain Cauchy-Riemann conditions, generalized Laplace equation and the generalized Poisson formula for such functions.

On a linear model of swinging with a periodic step function coefficient

2015 ◽  
Vol 81 (34) ◽  
pp. 483-502 ◽  
Author(s):  
László Csizmadia ◽  
László Hatvani
Keyword(s):  
Linear Model ◽  
Step Function ◽  
Function Coefficient
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