Approximate solution of inverse problem for elliptic equation with overdetermination

Charyyar Ashyralyyev; Mutlu Dedeturk

doi:10.1155/2013/548017

Approximate solution of inverse problem for elliptic equation with overdetermination

Charyyar Ashyralyyev, Mutlu Dedeturk

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

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 first 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.

Original language	English
Article number	548017
Journal	Abstract and Applied Analysis
Volume	2013
DOIs	https://doi.org/10.1155/2013/548017
Publication status	Published - 2013
Externally published	Yes

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title = "Approximate solution of inverse problem for elliptic equation with overdetermination",

abstract = "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 first 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.",

author = "Charyyar Ashyralyyev and Mutlu Dedeturk",

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AB - 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 first 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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JO - Abstract and Applied Analysis

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Approximate solution of inverse problem for elliptic equation with overdetermination

Abstract

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