Stability of an inverse problem for transport equation with discrete data

O. A. Klimenko

S. Sobolev Institute of Mathematics, Siberian Division of Russian Academy of Sciences, Novosibirsk

Abstract: A validity of numerical algorithms is under investigation in this article. Namely, stability for twodimensional problem of restoring the right-hand side in the transport equation by discrete data is considered. It is suggested that the radiation incident on the boundary is omitted. The outgoing radiation is known at discrete numbers on the boundary. Stability theorems for two problem formulations are proved. In the former case an interparticle collision is not considered. In the latter case the transport equation is considered with the integral term and absorption, and scattering properties of the medium are taking into account.

UDC: 517.9+519.6

Received: 29.01.1998

Language: English

Bibliographic databases:

•