Gölgeleyen, F. & Hasdemir, M. (2019). Numerical solution of an inverse problem for the Liouville Equation. TWMS Journal of Applied and Engineering Mathematics, 9(4), 909-920.
Abstract
We consider an inverse problem for the Liouville Equation. We present the solvability conditions and obtain numerical solution of the problem based on the finite difference approximation.
Source
TWMS Journal of Applied and Engineering Mathematics