An inverse problem of the determination of an initial condition in ahyperbolic equation from the lateral Cauchy data is considered. Thisproblem has applications to the th[...]

This dissertation focuses on developing efficient numerical methods and theoretical analysis for solving various inverse problems that arise in the fields of mathematics,[...]

In this dissertation, we solve two inverse problems. The first one is the inverse source problem for the Helmholtz equation that governs the wave propagating in anisotrop[...]

For approximating the solution of partial differential equations (PDE), meshless methods have been introduced to alleviate the difficulties arising in mesh generation usi[...]