A. S. Esenkov, V. S. Esenkov, I. E. Mikhaĭlov, “Decision methods of the integro-differential equation in Smolukhovskys problem for Fermi-gas”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2009, Issue 12,Pages <nobr>51

Numerical Calculations Models for Physical-Mechanical Systems

Decision methods of the integro-differential equation in Smolukhovskys problem for Fermi-gas

A. S. Esenkov^a, V. S. Esenkov^a, I. E. Mikhaĭlov^b

^a Moscow Institute of Physics and Technology
^b Dubna International University for Nature, Society, and Man

Abstract: The numerical method of decision of boundary task is offered for integro-differential equation. This equation describes quantum gases in the classical boundary Smolukhovsky’s problem about temperature and chemical potential jumps in a metal. Such jumps are conditioned the presence of normal to the surface gradient of temperature, and, as a result, stream of heat to the surface.

Keywords: Smolukhovsky’s problem, integro-differential equation, iteration methods.

UDC: 519.642.2

Received: 15.01.2009