Numerical method for solving boundary inverse problem for one-dimensional parabolic equation

V. I. Vasiliev   ; L. Su

Matematičeskie zametki SVFU, Tome 24 (2017) no. 2, pp. 108-117

Résumé

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.

Détail

Keywords: boundary inverse problem, finite difference method, numerical solution, parabolic partial differential equation.

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