非线性奇异边值问题的高效数值算法

作者：孙平平; 牛晶; 吴琦; 李萍nonlinearsingularboundaryvaluereproducingkernelmethodleastsquareserrorestimation

摘要：In this work,an efficient method based on the simplified reproducing kernel m ethod and least squares method is proposed for solving nonlinear singular boundary value problem s.Furtherm ore,the approxim ate solution of the nonlinear singular boundary value problem is given,the error estim ation of the proposed algorithm is also given.Finally,the numerical examples are compared with the traditional regenerative nuclear method and the variational iteration algorithm,which shows the effectiveness and high efficiency of the algorithm.

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