【摘要】 针对中立型微分方程给出了一类数值算法 ,并得出了其算法新的渐近稳定性充要条件 .数值实验表明该算法对于中立方程是有效的更多还原

【Abstract】 Recently, the asymptotic stability of various numerical methods has been widely studied. These investigations have obtained a common result: A stability of ODEs methods is equivalent to the asymptotic stability of the corresponding DDEs methods. Any ODEs method with A stability poses the serious order obstacle which necessarily leads to the order obstacle of the corresponding DDEs methods. The condition of A stability is relaxed and A( α) stability of the asymptotic stability of the corresponding DDEs methods is proved. The numerical tests have shown that the present method in this paper is effective.更多还原