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Hydrodynamic Radiating Fluid Flow Past an Infinite Vertical Porous Plate in Presence of Chemical Reaction and Induced Magnetic Field
Kibet Kiprop,
Mathew Ngugi Kinyanjui,
Jackson Kioko Kwanza
Issue:
Volume 4, Issue 2, April 2016
Pages:
62-74
Received:
26 January 2016
Accepted:
24 February 2016
Published:
6 March 2016
Abstract: An investigation of the unsteady magnetohydrodynamic fluid flow with heat and mass transfer of a viscous, incompressible, electrically conducting and Newtonian fluid past a vertical plate embedded in a porous medium taking into account induced magnetic field, first order chemical reaction and thermal radiation effect is carried out. The dimensionless governing coupled, non-linear boundary layer partial differential equations are solved by an efficient and unconditionally stable finite difference scheme of the Crank-Nicholson type. A computer software is used to iteratively solve the partial differential equations. The numerical solutions for fluid velocity, induced magnetic field, species concentration and fluid temperatures are depicted graphically. The effect of various non-dimensional parameters on the fluid flow profiles are discussed and physical interpretation given. Applications of the study include laminar magneto aerodynamics, materials processing and MHD propulsion thermo-fluid dynamics.
Abstract: An investigation of the unsteady magnetohydrodynamic fluid flow with heat and mass transfer of a viscous, incompressible, electrically conducting and Newtonian fluid past a vertical plate embedded in a porous medium taking into account induced magnetic field, first order chemical reaction and thermal radiation effect is carried out. The dimensionle...
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Hypographs of Upper Semi-continuous Maps and Continuous Maps on a Bounded Open Interval
Issue:
Volume 4, Issue 2, April 2016
Pages:
75-79
Received:
23 March 2016
Published:
25 March 2016
Abstract: For any bounded open interval X in the Euclidean space E1, let ↓USC(X) and ↓C(X) be the families of all hypographs of upper semi-continuous maps and continuous maps from X to I=[0,1], respectively. They are endowed with the topology induced by the Hausdorff metric of the metric space Y×I，Y is the closure of X. It was proved in other two papers respectively that ↓USC(X) and ↓C(X) are homeomorphic to s and c0 respectively, where s=(-1,1)∞ and c0={(xn)ϵ(-1,1) ∞: limn→ ∞ xn=0}. However the topological structure of the pair (↓USC(X), ↓C(X)) was not clear. In the present paper, it is proved in the strongly universal method that the pair of spaces (↓USC(X), ↓C(X)) is pair homeomorphic to (s∞,c0∞) which is not homeomorphic to (s, c0). Hence this paper figures out the topological structure of the pair (↓USC(X), ↓C(X)).
Abstract: For any bounded open interval X in the Euclidean space E1, let ↓USC(X) and ↓C(X) be the families of all hypographs of upper semi-continuous maps and continuous maps from X to I=[0,1], respectively. They are endowed with the topology induced by the Hausdorff metric of the metric space Y×I，Y is the closure of X. It was proved in other two p...
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MHD Convection Flow of Two Immiscible Fluids in an Inclined Channel with Heat Generation / Absorption
Hasan Nihal Zaidi,
Naseem Ahmad
Issue:
Volume 4, Issue 2, April 2016
Pages:
80-91
Received:
21 February 2016
Accepted:
5 March 2016
Published:
28 March 2016
Abstract: Megnetohydrodynamic (MHD) convection flow of two immiscible fluids in an inclined channel in the presence of an applied magnetic field is investigated. Both fluids are assumed to be Newtonian and heat generating or absorbing and having constant transport properties. The channel walls are maintained at different temperature. The resulting coupled and non-linear equations of momentum and energy are solved analytically by using the regular perturbation method valid for small value of ε=PrEc. The influence of various parameters on velocity field and temperature field for heat absorption and heat generation are discussed with the aid of the graphs.
Abstract: Megnetohydrodynamic (MHD) convection flow of two immiscible fluids in an inclined channel in the presence of an applied magnetic field is investigated. Both fluids are assumed to be Newtonian and heat generating or absorbing and having constant transport properties. The channel walls are maintained at different temperature. The resulting coupled an...
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Wavelets in the Analysis of Autoregressive Conditional Heteroskedasticity (ARCH) Models Using Neural Network
Ataulla,
Mohammed Yunus,
Mohammad S. Alsoufi
Issue:
Volume 4, Issue 2, April 2016
Pages:
92-98
Received:
29 February 2016
Accepted:
15 March 2016
Published:
30 March 2016
Abstract: In the paper, proposed a new method for the time frequency signal analysis, speech processing and other signal processing applications. Stationary signal components can be analyzed by a powerful tool called as Fourier transform. But it is fizzled for analysing the non-stationary signal whereas wavelet transform allows the components of a non-stationary signal to be analyzed. It is the improved version of Fourier transform. Wavelets allow complex information such as music, speech, images and patterns to be decomposed into elementary forms at different positions and scales and subsequently reconstructed with high precision. Here, for extracting the best features of non-stationary signal we use discrete wavelet transform. This can be decomposed into two components named as high frequency component and low frequency component. The decomposed output component is sent for regression analysis. This is done by passing through ARCH model which can characterize and model observed time series. An ARCH time series is the one in which the variance of the error in a period depends on upon size of the squared error in the previous period i.e. if a large error occurs in one period, the variance of the error in the next period will be even larger. The performance of the ARCH will be improved by predicting its co-efficient or cofactor using an artificial technique. The artificial technique presented in this paper is neural network, which is capable of handling sophisticated computations similar to the human brain. The proposed model algorithm will be implemented in MATLAB and the output performances are estimated.
Abstract: In the paper, proposed a new method for the time frequency signal analysis, speech processing and other signal processing applications. Stationary signal components can be analyzed by a powerful tool called as Fourier transform. But it is fizzled for analysing the non-stationary signal whereas wavelet transform allows the components of a non-statio...
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Modularity Component Analysis versus Principal Component Analysis
Issue:
Volume 4, Issue 2, April 2016
Pages:
99-104
Received:
6 April 2016
Published:
11 April 2016
Abstract: In this paper the exact linear relation between the leading eigenvectors of the modularity matrix and the singular vectors of an uncentered data matrix is developed. Based on this analysis the concept of a modularity component is defined, and its properties are developed. It is shown that modularity component analysis can be used to cluster data similar to how traditional principal component analysis is used except that modularity component analysis does not require data centering.
Abstract: In this paper the exact linear relation between the leading eigenvectors of the modularity matrix and the singular vectors of an uncentered data matrix is developed. Based on this analysis the concept of a modularity component is defined, and its properties are developed. It is shown that modularity component analysis can be used to cluster data si...
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EVT and Its Application to Pricing of Catastrophe (Typhoon) Reinsurance
Hu Yue,
Zhang Li,
Shen Li-jie,
Gao Li-ya
Issue:
Volume 4, Issue 2, April 2016
Pages:
105-109
Received:
10 April 2016
Published:
11 April 2016
Abstract: Extreme value theory is a branch of the theory of order statistics and it is a statistical study of extreme events disciplined approach. There is often extreme values in catastrophe losses, the use of traditional methods of statistical laws describe the amount of catastrophe losses would ignore the existence of extreme data. In this paper, we consider the premium of excess-of-loss reinsurance policies with different attachment points based on the idea of layered pricing using extreme value model, and we fit POT model to the typhoon loss date of Zhejiang Province to determine the pure premium of typhoon in the empirical analysis.
Abstract: Extreme value theory is a branch of the theory of order statistics and it is a statistical study of extreme events disciplined approach. There is often extreme values in catastrophe losses, the use of traditional methods of statistical laws describe the amount of catastrophe losses would ignore the existence of extreme data. In this paper, we consi...
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Quantile-Quantile Plot Compared with Stablized Probability Plot in Figure on the Distribution of the Test Research
Issue:
Volume 4, Issue 2, April 2016
Pages:
110-113
Received:
18 April 2016
Published:
19 April 2016
Abstract: Introduces the structure and function of PP (Stablized Probability Plot) and QQ (Quantile-Quantile Plot), and uses MATLAB to produce two sets of exponential distribution and normal distribution. The sample number is 20 and 45 respectively. The fitting of QQ plot and PP plot are respectively used to obtain the superiority of PP in the exponential distribution. In normal distribution, the QQ plot is more advantageous.
Abstract: Introduces the structure and function of PP (Stablized Probability Plot) and QQ (Quantile-Quantile Plot), and uses MATLAB to produce two sets of exponential distribution and normal distribution. The sample number is 20 and 45 respectively. The fitting of QQ plot and PP plot are respectively used to obtain the superiority of PP in the exponential di...
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