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Original Articles

NUMERICAL COMPLEXITY OF TEN-POINT DIFFERENCE METHODS FOR THE TWO-DIMENSIONAL HEAT OPERATOR

Pages 377-388 | Published online: 27 Feb 2007
 

Abstract

A five-parameter family of two-level 10-point difference approximations to the two-dimensional heat operator is presented. The stability of the family is studied and a unified account of the familiar two-level operators is given. The most familiar iterative schemes for solving the resulting linear system of equations are derived systematically, by the proper choice of the parameters, and their complexities are compared.

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