A novel hybrid difference method for an elliptic equation

2022 ◽  
Vol 415 ◽  
pp. 126702
Author(s):  
Dongwook Shin ◽  
Youngmok Jeon ◽  
Eun-Jae Park
Keyword(s):  
Elliptic Equation ◽  
Difference Method

scholarly journals Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Charyyar Ashyralyyev ◽  
Mutlu Dedeturk
Keyword(s):  
Inverse Problem ◽  
Approximate Solution ◽  
Elliptic Equation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Stability Estimates ◽  
Two Dimensional ◽  
Accuracy Difference ◽  
Coercive Stability

A…finite difference method for the approximate solution of the inverse problem for the multidimensional elliptic equation with overdetermination is applied. Stability and coercive stability estimates of the fi…rst and second orders of accuracy difference schemes for this problem are established. The algorithm for approximate solution is tested in a two-dimensional inverse problem.

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