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Numerical solution of a source identification problem: Almost coercivity

  • Allaberen Ashyralyev , Abdullah Said Erdogan ORCID logo EMAIL logo and Ali Ugur Sazaklioglu

Abstract

The present paper is devoted to the investigation of a source identification problem that describes the flow in capillaries in the case when an unknown pressure acts on the system. First and second order of accuracy difference schemes are presented for the numerical solution of this problem. Almost coercive stability estimates for these difference schemes are established. Additionally, some numerical results are provided by testing the proposed methods on an example.

MSC 2010: 65L12; 65L09; 65L20

Award Identifier / Grant number: BR05236656

Funding statement: The publication has been prepared with the support of the “RUDN University Program 5-100” and published under target program BR05236656 of the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan.

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Received: 2017-07-26
Revised: 2018-09-19
Accepted: 2018-11-13
Published Online: 2018-12-05
Published in Print: 2019-08-01

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