- Universal Journal of Mathematics and Applications
- Vol: 1 Issue: 3
- Existence and uniqueness of an inverse problem for a second order hyperbolic equation
Existence and uniqueness of an inverse problem for a second order hyperbolic equation
Authors : Ibrahim Tekin
Pages : 178-185
Doi:10.32323/ujma.439662
View : 10 | Download : 10
Publication Date : 2018-09-30
Article Type : Research
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