【摘要】 <正>1引言本文考虑下列非线性奇异边值问题■α≥1,a≥0,b>0.此类非线性奇异边值问题出现在许多物理学领域,例如,电流体动力学、核物理、原子结构和原子计算.当α=2并且f(x,y)=ny/y+k,n>0,k>0时,方程(1)表示一个带有Michaelis-Menten吸收动力学的稳态氧扩散模型[1].对于α=1,f(c,y)=y~γ,这里γ是一个物理常数,上述公式用于研究热爆炸[2],α=2,f(x,y)=γe~y,这里γ是一个表示更多还原

【Abstract】 In this work,an efficient method based on the simplified reproducing kernel method and least squares method is proposed for solving nonlinear singular boundary value problems.Furthermore,the approximate solution of the nonlinear singular boundary value problem is given,the error estimation 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.更多还原