matmessМатематические заметки СВФУMathematical notes of NEFU2411-93262587-876XСеверо-Восточный федеральный университет имени М.К. Аммосова10.25587/SVFU.2017.2.9250matmess-355Research ArticleМАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕNUMERICAL METHOD FOR SOLVING BOUNDARY INVERSE PROBLEM FOR ONE–DIMENSIONAL PARABOLIC EQUATIONNUMERICAL METHOD FOR SOLVING BOUNDARY INVERSE PROBLEM FOR ONE–DIMENSIONAL PARABOLIC EQUATIONVasil’evV. I.Vasil’evV. I.

Vasily I. Vasil’ev

M. K. Ammosov North-Eastern Federal University, Institute of Mathematics and Informatics, 42, Kulakovsky St., Yakutsk 677000, Russia 

Vasily I. Vasil’ev

M. K. Ammosov North-Eastern Federal University, Institute of Mathematics and Informatics, 42, Kulakovsky St., Yakutsk 677000, Russia 

vasvasil@mail.ruSuLing-DeSuLing-De

Ling-De Su

M. K. Ammosov North-Eastern Federal University, Institute of Mathematics and Informatics, 42, Kulakovsky St., Yakutsk 677000, Russia 

Ling-De Su

M. K. Ammosov North-Eastern Federal University, Institute of Mathematics and Informatics, 42, Kulakovsky St., Yakutsk 677000, Russia 

sulingde@gmail.comM. K. Ammosov North-Eastern Federal UniversityРоссияM. K. Ammosov North-Eastern Federal UniversityRussian Federation201715062026242106115Copyright © Vasil’ev V.I., Su L., 20262026Vasil’ev V.I., Su L.Vasil’ev V.I., Su L.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://matmess.elpub.ru/jour/article/view/355

We consider a numerical method for solving boundary inverse problem using the implicit difference scheme for approximation by time and finite difference 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 confirm the capabilities of the proposed computational algorithms for solving this boundary inverse problem. 

We consider a numerical method for solving boundary inverse problem using the implicit difference scheme for approximation by time and finite difference 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 confirm the capabilities of the proposed computational algorithms for solving this boundary inverse problem. 

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The authors declare that there are no conflicts of interest present.