[1] Formaggia L, Nobile F, Quarteroni A, Veneziani A. Multiscale modelling of the circulatory system: a preliminary analysis. Comput Visualiz Science, 1999, textbf 2(2): 75-83
[2] Szeftel J. Absorbing boundary conditions for nonlinear scalar partial differential equations. Computer Methods in Applied Mechanics and Engineering, 2006, textbf 195: 3760-3775
[3] 杜红, 刘彦慧, 宋作忠. 求解一类非局部边界条件微分方程的再生核方法. 黑龙江科技学院学报, 2009, textbf 19(6): 490-492 Du H, Liu Y H, Song Z Z. Reproducing kernel method of solving a differential equation with non-local boundary conditions. Journal of Heilongjiang Institute of Science and Technology, 2009, textbf 19(6): 490-492
[4] 杜娟. 求解一类非线性四阶微分方程的再生核方法[D]. 哈尔滨: 哈尔滨工业大学, 2010 Du J. Reproducing Kernel Methods for Solving a Class of Fourth-Order Nonlinear Differential Equations[D]. Harbin: Harbin Institute of Technology, 2010
[5] 杜红. 再生核空间中积分和微分方程的求解方法[D]. 哈尔滨: 哈尔滨工业大学, 2007 Du H. Methods of Solving Integral and Differential Equations in the Reproducing Kernel Space[D]. Harbin: Harbin Institute of Technology, 2007
[6] Zhang X M, Feng M Q, Ge W G. Existence results for nonlinear boundary-value problems with integral boundary conditions in Banach spaces. Nonlinear Analysis, 2008, textbf 69(10): 3310-3321
[7] Kang P, Wei Z L, Xu J J. Positive solutions to fourth-order singular boundary value problems with integral boundary conditions in abstract spaces. Appl Math Comput, 2008, 206(1): 245-256
[8] 徐杰. 带有非局部边界条件的微分方程的数值求解[D]. 哈尔滨:哈尔滨师范大学, 2010 Xu J. Solving Some Differential Equations Involving Non-Local Boundary Conditions[D]. Harbin: Harbin Normal University, 2010
[9] Du J, Cui M G. Solving the forced Duffing equation with integral boundary conditions in the reproducing kernel space. International Journal of Computer Mathematics, 2010, 87(9): 2088-2100
[10] Cui M G, Lin Y Z. Nonlinear Numerical Analysis in Reproducing Kernel Space. New York: Nova Science Publishers, 2009
[11] Yao H M. Solution of the Duffing equation involving both integral and non-integral forcing terms. Computer Physics Communications, 2009, 180(9): 1481-1488 |