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Analytical Expressions for Commensal-Host Ecological Model: Homotopy Perturbation Method
Vembu Ananthaswamy,
Lucas Sahaya Amalraj
Issue:
Volume 2, Issue 5, October 2014
Pages:
149-154
Received:
22 August 2014
Accepted:
9 September 2014
Published:
20 September 2014
Abstract: In this paper a mathematical commensal-host ecological model with replenishment rate for both species is discussed. This model is characterized by a pair of first order non-linear coupled differential equations. The non-linear coupled system-equations are solved analytically by using Homotopy perturbation method. Further, our results are compared with the previous work and a satisfactory agreement is noted.
Abstract: In this paper a mathematical commensal-host ecological model with replenishment rate for both species is discussed. This model is characterized by a pair of first order non-linear coupled differential equations. The non-linear coupled system-equations are solved analytically by using Homotopy perturbation method. Further, our results are compared w...
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Modified Midpoint Method for Solving System of Linear Fredholm Integral Equations of the Second Kind
Issue:
Volume 2, Issue 5, October 2014
Pages:
155-161
Received:
24 August 2014
Accepted:
6 September 2014
Published:
30 September 2014
Abstract: In this paper numerical solution to system of linear Fredholm integral equations by modified midpoint method is considered. This method transforms the system of linear Fredholm integral equations into a system of linear algebraic equations that can be solved easily with any of the usual methods. Finally, some illustrative examples are presented to test this method and the results reveal that this method is very effective and convenient by comparison with exact solution and with other numerical methods such as midpoint method, trapezoidal method, Simpson's method and modified trapezoidal method. All results are computed by using a programs written in Matlab R2012b.
Abstract: In this paper numerical solution to system of linear Fredholm integral equations by modified midpoint method is considered. This method transforms the system of linear Fredholm integral equations into a system of linear algebraic equations that can be solved easily with any of the usual methods. Finally, some illustrative examples are presented to ...
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Shape Preserving Third and Fifth Degrees Polynomial Splines
Vladimir Ivanovich Pinchukov
Issue:
Volume 2, Issue 5, October 2014
Pages:
162-169
Received:
22 August 2014
Accepted:
12 September 2014
Published:
30 September 2014
Abstract: This paper is devoted to the development of positivity and monotonisity preserving linear spline techniques, namely, techniques which are based on ideas applied in the field of high order TVD (Total Variation Diminishing) methods for numerical solving compressible flow equations. Third and fifth degrees polynomial splines are constructed. Third degree splines include two variants, namely, monotonisity preserving and positivity preserving splines. These splines may be considered as modifications of classical cubic spline and may be identical to this spline for “good” data. These splines get shape preserviation at the cost of reducing smoothness till C^1. To restore C^2smoothness fifth degree polynomial splines are considered, which are constructed as a sum of base cubic shape preserving splines and fifth degree terms, which are chosen to provide continuity of the spline second derivative. These C^2fifth degree polynomial splines are observed to preserve monotonisity or positivity for all considered data with these properties.
Abstract: This paper is devoted to the development of positivity and monotonisity preserving linear spline techniques, namely, techniques which are based on ideas applied in the field of high order TVD (Total Variation Diminishing) methods for numerical solving compressible flow equations. Third and fifth degrees polynomial splines are constructed. Third deg...
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Investigation of Hydro Magnetic Steady Flow between Two Infinite Parallel Vertical Porous Plates
Kimeu Boniface,
Kwanza Jackson,
Onyango Thomas
Issue:
Volume 2, Issue 5, October 2014
Pages:
170-178
Received:
15 September 2014
Accepted:
8 October 2014
Published:
20 October 2014
Abstract: In this study we consider MHD steady fluid flow between two infinite parallel vertical porous plates with heat transfer. The governing equations considered we reduced to specific form according to the geometry of the studied problem. The non-dimensional governing equations involved in the present analysis are solved using the finite difference technique and the expressions for velocity and temperature distributions have been obtained. The effect of different parameters such as magnetic parameter, Prandtl number, thermal Grashoff number, and the temperature and velocity distributions are discussed.
Abstract: In this study we consider MHD steady fluid flow between two infinite parallel vertical porous plates with heat transfer. The governing equations considered we reduced to specific form according to the geometry of the studied problem. The non-dimensional governing equations involved in the present analysis are solved using the finite difference tech...
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On Chemically Reacting Hydromagnetic Flow over a Flat Surface in the Presence of Radiation with Viscous Dissipation and Convective Boundary Conditions
Emmanuel Maurice Arthur,
Ibrahim Yakubu Seini,
Azizu Seidu
Issue:
Volume 2, Issue 5, October 2014
Pages:
179-185
Received:
14 September 2014
Accepted:
24 September 2014
Published:
20 October 2014
Abstract: This paper presents an investigation of the hydromagnetic flow over a flat surface with convective boundary conditions and internal heat generation in the presence of chemical reaction. The Newton-Raphson shooting method along with the fourth-order Runge-Kutta integration algorithm has been employed to tackle the third order, nonlinear boundary layer equation governing the problem. Results have been graphically displayed and discussed quantitatively to show some interesting aspects of the controlling parameters on the dimensionless axial velocity, temperature and the concentration profiles, local skin friction, and the rate of heat and mass transfer. Comparison of the numerical results of the present paper with earlier published works under some special cases showed consistency.
Abstract: This paper presents an investigation of the hydromagnetic flow over a flat surface with convective boundary conditions and internal heat generation in the presence of chemical reaction. The Newton-Raphson shooting method along with the fourth-order Runge-Kutta integration algorithm has been employed to tackle the third order, nonlinear boundary lay...
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A Novel Iteration Class for Solution of Nonlinear Equation
Issue:
Volume 2, Issue 5, October 2014
Pages:
186-190
Received:
3 October 2014
Accepted:
16 October 2014
Published:
30 October 2014
Abstract: In this paper, one of the most fundament problems in numerical analysis has designed that it is found roots of equation f(x)=0 with variable x. In different articles and books, many several of methods exist for solving non algebra equations. Here, we present a class of Halley method and Chebyshev method from second derivatives for solving non algebra equations. In fact, it can be said that the best and the most convenient solution is the Newton method. We have this new method called class of Halley-Chebyshev method that this method also has second derivatives.
Abstract: In this paper, one of the most fundament problems in numerical analysis has designed that it is found roots of equation f(x)=0 with variable x. In different articles and books, many several of methods exist for solving non algebra equations. Here, we present a class of Halley method and Chebyshev method from second derivatives for solving non algeb...
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Influence of Customer Attitude on Uptake of Life Insurance among Teachers in Uasin Gishu County - Kenya
Nelson Kimeli Kemboi Yego,
Kennedy Kipkosgei Salbei,
Evans Mbuthi Kilonzo
Issue:
Volume 2, Issue 5, October 2014
Pages:
191-196
Received:
1 October 2014
Accepted:
25 October 2014
Published:
10 November 2014
Abstract: Despite its importance in business, economic growth, and particularly in financial services sector, life insurance in Kenya has experienced low uptake. This research sought to find out the customer attitude influence on the uptake of life insurance among teachers in Uasin Gishu County, Kenya. The research focused on customer attitude as a factor. A survey of the teachers in the Uasin Gishu County, Kenya was carried out. 302 teachers in Wareng Sub-county were sampled. Content Validity Index (CVI) was used to measure the validity of the research instruments. Moreover, pilot of 35 questionnaires was used to enhance the instrument’s reliability. It was found out that there exists some relationship between customer attitude and the level of uptake of life insurance among teachers in Uasin Gishu County since the correlation coefficient r of 0.433 was established and a p value of 0.000. Hence the p value is less than α =0.01, which is the set significant level. Moreover, a regression of the standardized beta values, of 0. 0.713 was found. This meant the customer attitude influences the level of uptake of life insurance by teachers. The findings pointed that great effort should put by stakeholders to increase perception of life insurance and hence enhance customer attitude.
Abstract: Despite its importance in business, economic growth, and particularly in financial services sector, life insurance in Kenya has experienced low uptake. This research sought to find out the customer attitude influence on the uptake of life insurance among teachers in Uasin Gishu County, Kenya. The research focused on customer attitude as a factor. A...
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