About one numerical algorithm for the solution of the inverse problem with respect to potential

Article type: Research Article

Authors: Huseynova, Nargiz.^{a; *} | Orujova, Malahat^b | Safarova, Nargiz^a | Hajiyeva, Nazile^a

Affiliations: [a] Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan | [b] Azerbaijan State University of Economics, Baku, Azerbaijan

Correspondence: [*] Corresponding author: N.Sh. Huseynova, Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan. E-mail: [email protected].

Abstract: In this work the wave equation is analytically solved in the variational form and the analytical expression is found for the gradient of the functional. Also solving the inverse problem with respect to the potential the analytic expression for the optimal potential is obtained. The numerical algorithm for theconsidered problem is given.

Keywords: Inverse problem, variation method, optimal potential

DOI: 10.3233/JCM-180853

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 18, no. 4, pp. 1035-1041, 2018