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On explicit methods for the time integration of parabolic equations

V. T. Zhukov

Keldysh Institute of Applied Mathematics, Moscow, Russia

Abstract: We consider some principles for construction of the time integration schemes for parabolic equations. It is presented an approach based on explicit iterations with Chebyshev parameters and resulting in the schemes of the first and second order of accuracy. This paper gives systematization of knowledge of these schemes, conditions of their applicability, included applications for computations of high temperature processes in thermonuclear targets.

Keywords: difference schemes, parabolic equations, Chebyshev parameters.

UDC: 519.6

Received: 04.02.2010

 English version: Mathematical Models and Computer Simulations, 2011, 3:3, 311–332

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