A numerical solution of cylindrical coordinate Laplace’s equation with mixed boundary conditions along the axis of symmetry: Application to intracerebral stimulating electrodes

1984 ◽  
Vol 56 (1) ◽  
pp. 1-5 ◽  
Author(s):  
P. Church ◽  
A. Leduc ◽  
R. A. Beique ◽  
J. R. Derome
Keyword(s):  
Boundary Conditions ◽  
Numerical Solution ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Laplace’S Equation ◽  
Laplace's Equation ◽  
Cylindrical Coordinate ◽  
Axis Of Symmetry ◽  
Stimulating Electrodes

scholarly journals Extension of the Chebyshev Method of Quassi-Linear Parabolic P.D.E.S With Mixed Boundary Conditions

2009 ◽  
Vol 6 (3) ◽  
pp. 603-611
Author(s):  
Baghdad Science Journal
Keyword(s):  
Error Analysis ◽  
Boundary Conditions ◽  
Numerical Solution ◽  
Linear Problem ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Numerical Examples ◽  
Chebyshev Method

The researcher [1-10] proposed a method for computing the numerical solution to quasi-linear parabolic p.d.e.s using a Chebyshev method. The purpose of this paper is to extend the method to problems with mixed boundary conditions. An error analysis for the linear problem is given and a global element Chebyshev method is described. A comparison of various chebyshev methods is made by applying them to two-point eigenproblems. It is shown by analysis and numerical examples that the approach used to derive the generalized Chebyshev method is comparable, in terms of the accuracy obtained, with existing Chebyshev methods.

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