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A NEW PARALLEL ALGORITHM FOR THE PARABOLIC EQUATION
Author(s): 
Pages: 27-33
Year: Issue:  2
Journal: GUIZHOU SCIENCE

Keyword:  抛物型方程并行算法截断误差稳定性条件;
Abstract: 本文构造了带一个参数的两层六点半显格式和它的对称格式,利用这两个格式建立求解抛物型方程分组显式(GE)并行算法,该算法的截断误差为O(τ+h2),条件稳定.当参数取特定值时, 该算法的截断误差可提高到O(τ2+h3).当参数取零、网比r取特定值时,该算法的截断误差可达到O(τ2+h4).当空间节点为奇数时,构造了GEL格式和GER格式.
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