A New GE-3 Parallel Algorithm for the Parabolic Equation

Abstract

利用SAul’yEV格式和它的对称格式及一个绝对稳定的隐格式,构造了一个求解抛物型方程的分组显式(gE-3)并行算法,该算法的截断误差为O(τ+H2),条件稳定.数值例子验证了理论分析的有效性。Using a scheme,its symmetric scheme and an implicit differencing scheme of absolute stability,we construct group explicit scheme(GE-3) parallel algorithm for solving parabolic equation.The truncation error of this algorithm is O(τ+h2) with stability conditions.A numerical example shows that the schemes are effective.贵州省科技厅资金项目(黔科合J字[2008]2122号)资