NUMERICAL METHOD FOR SOLVING BOUNDARY INVERSE PROBLEM FOR ONE–DIMENSIONAL PARABOLIC EQUATION | Zendy

В. И. Васильев | Zendy; Su. Ling-De | Zendy

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NUMERICAL METHOD FOR SOLVING BOUNDARY INVERSE PROBLEM FOR ONE–DIMENSIONAL PARABOLIC EQUATION

Author(s) -

В. И. Васильев,

Su. Ling-De

Publication year - 2017

Publication title -

журнал «математические заметки свфу»

Language(s) - English

Resource type - Journals

eISSN - 2587-876X

pISSN - 2411-9326

DOI - 10.25587/svfu.2017.2.9250

Subject(s) - inverse problem , mathematics , boundary (topology) , inverse , boundary value problem , mathematical analysis , numerical analysis , geometry

We consider a numerical method for solving boundary inverse problem using the implicit dierence scheme for approximation by time and nite dierence method for the boundary inverse problem. A numerical solution to the boundary inverse problem is determined by special decomposition which transforms the problem into two standard problems. We present the results of numerical experiments, including those with random errors in the input data, which conrm the capabilities of the proposed computational algorithms for solving this boundary inverse problem.

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