Electrostatics with reflection symmetry and exact solution of the Dunkl-Laplace equation in cylindrical coordinates

2016 ◽  
Vol 68 (3) ◽  
pp. 379-382 ◽  
Author(s):  
Eun Ji Jang ◽  
Sucheol Park ◽  
Won Sang Chung
Keyword(s):  
Exact Solution ◽  
Laplace Equation ◽  
Reflection Symmetry ◽  
Cylindrical Coordinates

scholarly journals An exact solution of a quasilinear Fisher equation in cylindrical coordinates

2008 ◽  
Vol 69 (12) ◽  
pp. 4803-4805 ◽  
Author(s):  
Ashfaque H. Bokhari ◽  
M.T. Mustafa ◽  
F.D. Zaman
Keyword(s):  
Exact Solution ◽  
Fisher Equation ◽  
Cylindrical Coordinates

ON EXACT SOLUTION OF OPTIMIZATION TASK GENERATED BY THE LAPLACE EQUATION

2018 ◽  
pp. 466-472
Author(s):  
Asaad Naser Mzedawee
Keyword(s):  
Exact Solution ◽  
Laplace Equation ◽  
Existence And Uniqueness ◽  
Parameter Family ◽  
Two Dimensional ◽  
Special Sequence ◽  
Optimization Task ◽  
Finite Dimensional ◽  
Residual Functional

A one-parameter family of finite-dimensional spaces consisting of special two-dimensional splines of Lagrangian type is defined (the parameter N is related to the dimension of the space). The Laplace equation generates in each such space the problem of minimizing the residual functional. The existence and uniqueness of optimal splines are proved. For their coefficients and residuals, exact formulas are obtained. It is shown that with increasing N; the minimum of the residual functional is O(N^(-5) ); and the special sequence consisting of optimal splines is fundamental.

Axisymmetric Potential Flow Over Two Spheres in Contact

1975 ◽  
Vol 42 (4) ◽  
pp. 763-765 ◽  
Author(s):  
R. D. Small ◽  
D. Weihs
Keyword(s):  
Exact Solution ◽  
Boundary Conditions ◽  
Coordinate System ◽  
Laplace Equation ◽  
Potential Flow ◽  
Separation Of Variables ◽  
Added Mass ◽  
Tangent Sphere

An exact solution for the axisymmetric incompressible potential flow over two touching spheres is presented. A tangent-sphere coordinate system is used to simplify the boundary conditions. The Laplace equation is solved by means of separation of variables and the expression for the added mass obtained.

An Exact Solution for Classic Coupled Thermoelasticity in Cylindrical Coordinates

2011 ◽  
Vol 133 (5) ◽  
Author(s):  
M. Jabbari ◽  
H. Dehbani ◽  
M. R. Eslami
Keyword(s):  
Exact Solution ◽  
Heat Source ◽  
Analytical Method ◽  
Loading Condition ◽  
Body Force ◽  
The Body ◽  
Cylindrical Coordinates ◽  
Coupled Thermoelasticity ◽  
Coupled Equations ◽  
Symmetric Loading

In this paper, the classic coupled thermoelasticity model of hollow and solid cylinders under radial-symmetric loading condition (r,t) is considered. A full analytical method is used, and an exact unique solution of the classic coupled equations is presented. The thermal and mechanical boundary conditions, the body force, and the heat source are considered in the most general forms, where no limiting assumption is used.

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