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Iterative methods for the solution of some nonlinear ellipticdifference systems, approximating the first boundary value problemare considered. If h > 0 is the network step in the spaceof variables x = (x1, x2,..., xp) and 2m is the order of theoriginal boundary value problem, then the iterative methodsproposed give solution of accuracy with the expenditure ofO(|In | h(p+m)) and O(|In | |In h| hp)arithmetic operations in the case of a general region and arectangular parallelepiped respectively. In the case p = 2 theestimate O(|In | h[2+ (m/2)]) is obtained if the regionis made up of rectangles with sides parallel to the co-ordinateaxes. 相似文献
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