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Search Results: 1 - 10 of 84428 matches for " Ning Chen "
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Operator Equation and Application of Variation Iterative Method  [PDF]
Ning Chen, Jiqian Chen
Applied Mathematics (AM) , 2012, DOI: 10.4236/am.2012.38127
Abstract: In this paper, we study some semi-closed 1-set-contractive operators A and investigate the boundary conditions under which the topological degrees of 1-set contractive fields, deg (I-A, Ω, p) are equal to 1. Correspondingly, we can obtain some new fixed point theorems for 1-set-contractive operators which extend and improve many famous theorems such as the Leray-Schauder theorem, and operator equation, etc. Lemma 2.1 generalizes the famous theorem. The calculation of topological degrees and index are important things, which combine the existence of solution of for integration and differential equation and or approximation by iteration technique. So, we apply the effective modification of He’s variation iteration method to solve some nonlinear and linear equations are proceed to examine some a class of integral-differential equations, to illustrate the effectiveness and convenience of this method.
Blow-Up and Attractor of Solution for Problems of Nonlinear Schrodinger Equations  [PDF]
Ning Chen, Jiqian Chen
Applied Mathematics (AM) , 2012, DOI: 10.4236/am.2012.312263
Abstract: In this paper, the authors study the blow-up of solution for a class of nonlinear Schrodinger equation for some initial boundary problem. On the other hand, the authors give out some analyses and that new conclusion by Eigen-function method. In last section, the authors check the nonlinear parameter for light rule power by using of parameter method to get ground state and excite state correspond case, and discuss the global attractor of some fraction order case, and combine numerical test. To illustrate this physics meaning in dimension d = 1, 2 case. So, by numerable solution to give out these wave expression.
Some Approximation in Cone Metric Space and Variational Iterative Method  [PDF]
Ning Chen, Jiqian Chen
Applied Mathematics (AM) , 2012, DOI: 10.4236/am.2012.312276
Abstract: In this paper, we give some new results of common fixed point theorems and coincidence point case for some iterative method. By using of variation iteration method and an effective modification of He’s variation iteration method discusses some integral and differential equations, we give out some new conclusion and more new examples.
An Adaptive Least-Squares Mixed Finite Element Method for Fourth Order Parabolic Problems  [PDF]
Ning Chen, Haiming Gu
Applied Mathematics (AM) , 2013, DOI: 10.4236/am.2013.44092

A least-squares mixed finite element (LSMFE) method for the numerical solution of fourth order parabolic problems analyzed and developed in this paper. The Ciarlet-Raviart mixed finite element space is used to approximate. The a posteriori error estimator which is needed in the adaptive refinement algorithm is proposed. The local evaluation of the least-squares functional serves as a posteriori error estimator. The posteriori errors are effectively estimated. The convergence of the adaptive least-squares mixed finite element method is proved.

Alternating Group Explicit Iterative Methods for One-Dimensional Advection-Diffusion Equation  [PDF]
Ning Chen, Haiming Gu
American Journal of Computational Mathematics (AJCM) , 2015, DOI: 10.4236/ajcm.2015.53025
Abstract: The finite difference method such as alternating group iterative methods is useful in numerical method for evolutionary equations and this is the standard approach taken in this paper. Alternating group explicit (AGE) iterative methods for one-dimensional convection diffusion equations problems are given. The stability and convergence are analyzed by the linear method. Numerical results of the model problem are taken. Known test problems have been studied to demonstrate the accuracy of the method. Numerical results show that the behavior of the method with emphasis on treatment of boundary conditions is valuable.
Weak Galerkin Finite Element Method for the Unsteady Stokes Equation  [PDF]
Chen Ning, Haiming Gu
American Journal of Computational Mathematics (AJCM) , 2018, DOI: 10.4236/ajcm.2018.81009
Abstract: The Weak Galerkin (WG) finite element method for the unsteady Stokes equations in the primary velocity-pressure formulation is introduced in this paper. Optimal-order error estimates are established for the corresponding numerical approximation in an H1 norm for the velocity, and L2 norm for both the velocity and the pressure by use of the Stokes projection.
Analyzing Pedestrian Fatality Risk in Accidents at Mid-Blocks  [PDF]
Yanyan Chen, Jiajie Ma, Ning Chen
Journal of Transportation Technologies (JTTs) , 2019, DOI: 10.4236/jtts.2019.92011
Abstract: Objective: Pedestrian safety is considered as one of the greatest concerns, especially for developing countries. In the year of 2015, about 48% pedestrian accidents with 56% fatalities occurred at mid-blocks in Beijing. Since the high frequency and fatality risk, this study focused on pedestrian accidents taking place at mid-blocks and aimed at identifying significant factors. Methods: Based on total 10,948 crash records, a binary logit model was established to explore the impact of various factors on the probability of pedestrian’s death. Furthermore, first-degree interaction effects were introduced into the basic model. The Hosmer-Lemeshow goodness-of-fit test was used to assess the model performance. Odds ratio was calculated for categorical variables to compare significant accident conditions with the conference level. Variables within consideration in this study included weather, area type, road type, speed limit, pedestrian location, lighting condition, vehicle type, pedestrian gender and pedestrian age. Results: The calibration results of the model show that the increased fatality chances of an accident at mid-blocks are associated with normal weather, rural area, two-way divided road, crossing elsewhere in carriageway, darkness (especially for no street lighting), light vehicle, large vehicle and male pedestrian. With road speed limit increasing by 10 km/h, the probability of death accordingly increases by 46%. Older victims have higher chances of being killed in a crash. Moreover, three interaction effects are found significant: rural area and two-way divided, rural area and crossing elsewhere as well as speed limit and pedestrian age. Conclusions: This study has analyzed police accident data and identified factors significant to the death probability of pedestrians in accidents occurred at mid-blocks. Recommendations and improving measures were proposed correspondingly. Behaviors of different road users at mid-blocks should be taken into account in the future research.
Sputum analysis in patients with "disharmony of stomach"
Zhong Xi Yi Jie He Xue Bao , 2004,
Abstract: Objective: To analyze the amount and inflammatory components of the sputum in patients with "disharmony of stomach", including gastroesophageal reflux disease, peptic ulcer and chronic gastritis. Methods: Sputum production was induced by inspiration of aerosol of 3.5% hypertonic saline with ultrasonic nebulizer, and the total cell count in the sputum was examined. Sputum smear stained with Gimsa was used in differential counting under light microscope. Bacterial culture in the sputum was performed in the usual way. Peak expiratory flow (PEF) was tested to study the airway responsiveness. Results: The amount of sputum, the total cells and eosinophils in the sputum of the patients with "disharmony of stomach" were higher than those of the control. PEF decreased following sputum induction. These parameters returned to control level after treatment with Chinese herbs. Bacterial culture was negative.Conclusion: "Disharmony of stomach" can cause the bronchial inflammation (non-infection) characterized by eosinophil increase.
Therapy for clearing heat and resolving phlegm in treatment of systemic inflammatory response syndrome in acute deterioration stage of chronic obstructive pulmonary disease: a randomized controlled trial
Zhong Xi Yi Jie He Xue Bao , 2009,
Abstract: Objective: To investigate the effects of traditional Chinese medicine (TCM) therapy for clearing heat and resolving phlegm on systemic inflammatory response syndrome (SIRS) in acute deterioration stage of chronic obstructive pulmonary disease (COPD) and the serum procalcitonin (PCT) level.Methods: One hundred patients suffering from SIRS in acute deterioration stage of COPD were included and randomly divided into treatment group (50 cases) and control group (50 cases). Patients in the treatment group were treated with routine Western medicine and Chinese herbal medicine for clearing away heat and eliminating phlegm, while patients in the control group were treated with routine Western medicine only. Patients in the two groups were treated for one week. The serum PCT levels in the two groups were measured at days 1, 3, and 7, and clinical symptom scores were recorded at days 1 and 7 in hospital to determine the effects.Results: Clinical symptom scores in the two groups decreased after the treatment (P<0.05), and the symptom score in the treatment group was lower than that in the control group (P<0.05). The effect of integrated traditional Chinese and Western medicine treatment was obviously better than that of the Western medicine treatment when improving rates in clinical symptom score were divided into over 70% and less than 70% (P<0.05). Serum PCT concentration was in direct proportion to clinical symptom score (P<0.05). The patients with higher clinical symptom score were in more serious pathogenetic condition. There were no significant differences in the serum PCT concentrations among days 1, 3 and 7 in hospital.Conclusion: The effect of TCM therapy for clearing heat and removing phlegm combined with Western medicine treatment is better than that of the Western medicine treatment. TCM therapy has a satisfied effect in improving clinical symptoms. The serum PCT concentration is correlated with the severity of SIRS in acute deterioration stage of COPD.
Integrating Context-Aware Computing in Decision Support System
Ning Chen,An Chen
Lecture Notes in Engineering and Computer Science , 2010,
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