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

Authors : İbrahim TEKİN

Pages : 178-185

Doi:10.32323/ujma.439662

View : 11 | Download : 12

Publication Date : 2018-09-30

Article Type : Research Paper

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