Volume 2, Issue 2
A Numerical Method for Solving Parabolic Equations Based on the Use of a Multigrid Techniques

A. Karageorghis and D. Lesnic

10.4208/aamm.09-m0962

Int. J. Numer. Anal. Mod. B, 2 (2011), pp. 183-199

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  • Abstract

A numerical method for solving parabolic equations based on multigrid techniques is proposed. The stability, approximation and conservation properties of the method are investigated theoretically and numerically for several initial-boundary model problems for the heat conduction equation. The use of the method makes it possible to considerably reduce the computational work as compared to either implicit or explicit schemes. A parallel implementation of the method is presented.

  • History

Published online: 2011-02

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