【摘要】 在再生核方法研究成果的基础上,给出一种求解一类奇异摄动延迟问题的再生核算法。将延迟项用泰勒级数展开,把奇异摄动延迟问题近似转化为系数依赖于延迟量的一般奇异摄动问题,运用再生核方法求解简化后的奇异摄动问题,得到此类方程的近似解。数值算例表明,本方法是一种有效的、高精度的数值方法。更多还原

【Abstract】 Based on the achievement of predecessors,reproducing kernel method is presented for solving a class of singularly perturbed delay boundary value problems. First,Taylor’s series is used to approximate the retarded argument. Then,this problem is transformed to a general singularly perturbed problems whose coefficients depend upon delay. After that,reproducing kernel method is used for obtaining the approximate solution of the simplified singularly perturbed problem. Results of standard numerical example show that this method is an effective numerical method.更多还原