Existence and uniqueness of an inverse problem for a second order hyperbolic equation

Year 2018, , 178 - 185, 30.09.2018

İbrahim Tekin

https://doi.org/10.32323/ujma.439662

Cited By: 1

Abstract

In this paper, an initial boundary value problem for a second order hyperbolic equation is considered. Giving an additional condition, a time-dependent coefficient multiplying a linear term is determined and existence and uniqueness theorem for small times is proved. The finite difference method is proposed for solving the inverse problem numerically.

Keywords

Second order hyperbolic equation, Inverse problem, Finite difference method, Finite difference method

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