Papers by Keyword: Convergence

Abstract: This paper introduces two equations of non-Newtonian boundary-layer fluid: Cauchy equation of flow field and P-T/T equation of stress field. Secondly, we analyze the convergence of this system of fluid-solid coupled equation with semi-discrete finite element method. We use Galerkin finite element method on the space and semi-implicit C-N difference scheme on the time. Thus, the convergent order of the coupled equations is O（h²+k²） .

Abstract: In this paper, a class of completely generalized set-valued quasi-variational inclusions for fuzzy mappings are introduced and studied. The equivalence between these kinds of variational inclusion and a fixed point problem is established. Based on this equivalence, some algorithms for this problem are suggested and analyzed.

Abstract: A grey prediction model based on Free Searching (FS) () is proposed in this paper. Firstly, FS is applied to optimize the parameters of the model. The convergence of the FS algorithm is proved in order to show the reasonable of optimization with FS. Then, we give the factors which affect the precision of the prediction by analyzing the model. Based on this, the initial array is transformed. Finally, we predict several times used model and obtain the average of the prediction results’ combination. The experimental results show that the model is feasible, reasonable and effective.

Abstract: The paper presents a preconditioned AOR iterative method if preconditioner is a general upper triangular matrix for solving a linear system whose coefficient matrix is an H-matrix. In addition, we discuss the convergence of corresponding methods. Finally, a numerical example is also given to illustrate our results.

Abstract: Abridging the chasm between the prevalently employed continuum methods (e.g. FEM) and discontinuum methods (e.g. DDA),the numerical manifold (NNM),which utilizes two covers, namely the mathematical cover and physical cover, has evinced various advantages in solving solid mechanical issues. The forth-order partial elliptic differential equation governing Kirchhoff plate bending makes it arduous to establish the -regular Lagrangian partition of unity ,nevertheless, this study renders a modified conforming ACM manifold element, irrespective of accreting its cover degrees, to resolve the fourth-order problems. In tandem with the forming of the finite element cover system that erected on rectangular meshes, a succession of numerical manifold formulas are derived on grounds of the minimum potential energy principle and the displacement boundary conditions are executed by penalty function methods. The numerical example elucidates that, compared with the orthodox ACM element, the proposed methods bespeak the accuracy and precipitating convergence of the NMM.

Abstract: To efficiently enhance the global search and local search of Differential Evolution algorithm ( DE), A modified differential evolution algorithm (MDE) is proposed in this paper. The MDE and the DE are different in two aspects. The first is the MDE Algorithm use a strategy of Pitch adjustment instead of original mutation operation, this can enhance the convergence of the MDE, the second is integrate the opposed-learning operation in the crossover operation to prevent DE from being trapped into local optimum. Four test functions are adopted to make comparison with original DE, the MDE has demonstrated stronger velocity of convergence and precision of optimization than differential DE algorithm and PSO.

Abstract: The solution of 2D parabolic equations based on the alternating direction implicit scheme is one of the important methods to solve high dimension problems.A alternating direction implicit scheme is presented in this paper, the stability and convergence of the alternating direction implicit scheme is to be proved, and the scheme of the errors are analyzed. Through the numerical experiment, the result shows that the method has good stability and high precision.

Abstract: With the vigorous development of the Internet information age, work efficiency can be improved by finding the information needed accurately and quickly. Therefore, it is of vital importance to make an ordering for the relevant information web pages that are provided by the Internet. This paper proposes a kind of PageRank algorithm based on matrix partitioning to complete the ordering of relevant information web pages and applies this algorithm in the calculation cases whose experimental results on the aspect of improving PageRank computational efficiency show matrix partitioning can reduce iterations and improve computational efficiency.

Abstract: This article is devoted to the forward Euler difference method for the parabolic equation. In this paper, a forward Euler difference scheme is derived. It is shown that the forward Euler difference scheme is convergence and stability. Moreover, a numerical experiment is conducted to illustrate the theoretical results of the presented method.

Abstract: Based on measurement accuracy of reactive power lower than the accuracy of active power and voltage magnitude, this paper proposes an improved on-line power flow method. Through simulation, compared with the conventional power flow, this method improves the accuracy of the calculation results and also has obvious advantages on the convergence rate. Finally, the article analyzes the reasons for this situation.