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1.
Meshless method with ridge basis functions   总被引:1,自引:0,他引:1  
Meshless collocation methods for the numerical solutions of PDEs are increasingly adopted due to their advantages including efficiency and flexibility, and radial basis functions are popularly employed to represent the solutions of PDEs. Motivated by the advantages of ridge basis function representation of a given function, such as the connection to neural network, fast convergence as the number of terms is increased, better approximation effects and various applications in engineering problems, a meshless method is developed based on the collocation method and ridge basis function interpolation. This method is a truly meshless technique without mesh discretization: it neither needs the computation of integrals, nor requires a partition of the region and its boundary. Moreover, the method is applied to elliptic equations to examine its appropriateness, numerical results are compared to that obtained from other (meshless) methods, and influence factors of accuracy for numerical solutions are analyzed.  相似文献
2.
当供应商受到生产能力限制时,单位产品生产成本会随产量的提高而增加。而订货量增加时,零售商会尽力实现自己的销售目标,销售成本会随订货量递增。综合考虑单位产品生产成本递增和销售成本递增,以及市场需求函数为相乘型形式,以一个供应商和一个零售商组成的供应链为研究对象,建立了基于收益共享契约的协调模型,研究发现零售商订购量增加,供应商会提高批发价格,但它会主动替零售商承担一部分递增的销售成本,其承担比例与其占零售商销售收益的份额成正比关系,可实现供应链的完美协调。最后,进行数值分析验证了研究结论。  相似文献
3.
Qualitative analysis of a SIR epidemic model with saturated treatment rate   总被引:1,自引:0,他引:1  
On account of the effect of limited treatment resources on the control of epidemic disease, a saturated removal rate is incorporated into Hethcote’s SIR epidemiological model (Hethcote, SIAM Rev. 42:599–653, 2000). Unlike the original model, the model has two endemic equilibria when R 0<1. Furthermore, under some conditions, both the disease free equilibrium and one of the two endemic equilibria are asymptotically stable, i.e., the model has bistable equilibria. Therefore, disease eradication not only depends on R 0 but also on the initial sizes of all sub-populations. By the Poincaré-Bendixson theorem, Poincaré index, center manifold theorem, Hopf bifurcation theorem and Lyapunov-Lasalle theorem, etc., the existence and asymptotical stability of the equilibria, the existence, stability and direction of Hopf bifurcation are discussed, respectively.  相似文献
4.
基于遗传算法的最佳摄动量法在反问题中的应用   总被引:1,自引:0,他引:1  
抛物型方程参数的反演在工程中有重要的应用价值,针对最佳摄动量法对初始模型依赖性的严重不足,给出遗传算法对最佳摄动量法的改进的新算法并进行了数值模拟.从模拟结果可以看到模拟结果与估算值曲线图基本吻合,体现了该方法的有效性和高精度性,且新算法弥补了对初始数据严重依赖的不足以及保证了区域收敛的全局性.  相似文献
5.
BCI-代数的余模糊理想   总被引:1,自引:0,他引:1  
在BCI-代数中引入了余模糊理想的概念,讨论了它的某些性质,研究了BCI-代数的模糊理想和余模糊理想的关系.特别是,给出了一个如何由一个模糊子集生成一个余模糊理想和闭余模糊理想的过程.  相似文献
6.
跳跃扩散过程的期权定价模型   总被引:1,自引:0,他引:1  
假定股票价格的跳过程为计数过程,建立了股票价格服从跳扩散过程的行为模型.运用随机分析中的鞅方法,推导出了股票价格的跳过程为计数过程的欧式期权定价公式,推广了已有的结果.  相似文献
7.
The singular two-point boundary value problem
8.
When AB(H) and BB(K) are given, we denote by MC the operator matrix acting on the infinite-dimensional separable Hilbert space HK of the form In this paper, for given A and B, the sets and ?C∈Inv(K,H)σl(MC) are determined, where σl(T),Bl(K,H) and Inv(K,H) denote, respectively, the left spectrum of an operator T, the set of all the left invertible operators and the set of all the invertible operators from K into H.  相似文献
9.
A generalization of the direct method of Clarkson and Kruskal for finding similarity reductions of partial differential equations with arbitrary functions is found and discussed for the generalized Burgers equation. The corresponding reductions and the exact solutions due to the methods of the ordinary differential equations are then given by the methods. The results given here answer partially an open problem proposed by Clarkson, that is how to develop the direct method to seek symmetry reductions of nonlinear PDEs with arbitrary functions.  相似文献
10.
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