On the Third Boundary-Value Problem for an Improperly Elliptic Equation in a Disk

2014 ◽  
Vol 66 (2) ◽  
pp. 311-316
Author(s):  
V. P. Burskii ◽  
E. V. Lesina
Keyword(s):  
Elliptic Equation ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
The Third ◽  
Third Boundary Value Problem ◽  
Improperly Elliptic Equation

Convergence Of a Finite Difference Scheme for the Third Boundary-Value Problem for an Elliptic Equation with Variable Coefficients

2001 ◽  
Vol 1 (4) ◽  
pp. 356-366 ◽  
Author(s):  
Boško S. Jovanović ◽  
Branislav Z. Popović
Keyword(s):  
Elliptic Equation ◽  
Finite Difference ◽  
Boundary Value Problem ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Boundary Value ◽  
Variable Coefficients ◽  
Convergence Rate Estimate ◽  
The Third ◽  
Third Boundary Value Problem

Abstract In this paper we study the convergence of a finite difference scheme that approximates the third boundary-value problem for an elliptic equation with variable coefficients on a unit square. An ”almost” second-order convergence rate estimate (with additional logarithmic multiplier) is obtained.

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