一类常微分方程边值问题二点格式的算法研究
COMPUTATIONAL METHOD OF THE TWO POINT SCHEME FOR A KIND OF ORDINARY DIFFERENTIAL EQUATIONS WITH BOUNDARY VALUE CONDITIONS
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摘要: 根据文1的思想对一类奇异摄动问题给出了高精度的任意不等距二点差分格式。在边界条件处理上对文1的算法作了改进,使算法不等距,在奇异点附近网格可任意加密并重点研究了离散方程组的计算方法。数值试验表明,本算法在处理奇异摄动问题时更灵活,更有效。Abstract: A two point scheme with high order accuracy on arbitrary mesh is presented for a kind of singular perturbation problems based on the idea of1.Some improvements about boundary treatment and keeping stability are also given.Numerical examples found the method more convenient and efficient for singular perturbation problems.
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