-
Carleman Approximation on Riemannian Manifolds by Harmonic Functions with Newtonian Singularities
Issue:
Volume 3, Issue 1, February 2015
Pages:
1-3
Received:
5 October 2014
Accepted:
28 December 2014
Published:
14 January 2015
Abstract: In 1927, it was proved by Carleman that the real line was a set of Carleman approximation by entire functions. In this paper, the analogous problem for harmonic approximation on Riemannian manifolds is discussed.
-
A Fixed Point Theorem on Reciprocally Continuous Self Mapping under Menger Space
Neha Jain,
Rajesh Shrivastava,
K. Qureshi
Issue:
Volume 3, Issue 1, February 2015
Pages:
4-7
Received:
3 April 2014
Accepted:
25 April 2014
Published:
15 January 2015
Abstract: The Fixed Point Theorem had been proved on Reciprocally Continuous Self Mapping. In this paper the fixed point theorem on reciprocally continuous self mapping is proved under Menger Space.
-
Numerical Experiment with the Construction of a Control Operator Applied in ECGM Algorithm
Felix Makanjuola Aderibigbe,
Bosede Ojo,
Kayode James Adebayo
Issue:
Volume 3, Issue 1, February 2015
Pages:
8-13
Received:
25 December 2014
Accepted:
10 January 2015
Published:
20 January 2015
Abstract: In this paper, we constructed a control operator, G, which enables an Extended Conjugate Gradient Method (ECGM) to be employed in solving for the optimal control and trajectories of continuous time linear regulator problems. Similar operators constructed in the past by various authors have limited application. This call for the construction of the control operator that is aimed at taking care of any of the Mayer’s, Lagrange’s and Bolza’s cost form of linear regulator problems. The authors of this paper desire that, with the construction of the operator, one will circumvent the difficulties undergone using the classical methods and its application will further improve the result of the Extended Conjugate Gradient Method in solving this class of optimal control problem. The constructed Linear Control Operator is applied in ECGM algorithm to solve Continuous-Time Linear Regulator Problems with the convergence profile showing the efficiency of the operator.
Abstract: In this paper, we constructed a control operator, G, which enables an Extended Conjugate Gradient Method (ECGM) to be employed in solving for the optimal control and trajectories of continuous time linear regulator problems. Similar operators constructed in the past by various authors have limited application. This call for the construction of the ...
Show More
-
Numerical Solution of Mixed Convective Laminar Boundary Layer Flow around a Vertical Slender Body with Suction or Blowing
Md. Hasanuzzaman,
Masud Rabbani,
M. M. Touhid Hossain,
M. Arif Hossain,
R. Nandi
Issue:
Volume 3, Issue 1, February 2015
Pages:
14-20
Received:
17 November 2014
Accepted:
27 November 2014
Published:
27 January 2015
Abstract: In this paper, the numerical solution of mixed convective laminar boundary layer flow around a vertical slender body with suction or blowing has been investigated. Firstly, the governing boundary layer partial differential equations have been made dimensionless and then simplified by using Boussinesq approximation. Secondly, similarity transformations are introduced on the basis of detailed analysis in order to transform the simplified coupled partial differential equations into a set of ordinary differential equations. The transformed complete similarity equations are solved numerically by using computer software. Finally, the flow phenomenon has been characterized with the help of obtained flow controlling parameters such as suction parameter, buoyancy parameter, Prandtl number, body-radius parameter and other driving parameters. Finally the effects of involved parameters on the velocity and temperature distributions are presented graphically. It is found that a small suction or blowing can play a significant role on the patterns of flow and temperature fields.
Abstract: In this paper, the numerical solution of mixed convective laminar boundary layer flow around a vertical slender body with suction or blowing has been investigated. Firstly, the governing boundary layer partial differential equations have been made dimensionless and then simplified by using Boussinesq approximation. Secondly, similarity transformati...
Show More
-
Transport Equation for the Joint Distribution Functions of Certain Variables in Convective Dusty Fluid Turbulent Flow in a Rotating System under Going a First Order Reaction
M. A. K. Azad,
Mst. Mumtahinah,
M. A. Bkar Pk
Issue:
Volume 3, Issue 1, February 2015
Pages:
21-30
Received:
31 December 2014
Accepted:
18 January 2015
Published:
30 January 2015
Abstract: In this paper, the joint distribution functions for simultaneous velocity, temperature, concentration fields in turbulent flow under going a first order reaction in a rotating system in presence of dust particles have been studied. The various properties of the constructed joint distribution functions such as, reduction property, separation property, coincidence and symmetric properties have been discussed. Lastly, the transport equations for the joint distribution function of velocity, temperature and concentration in convective turbulent flow under going a first order reaction in a rotating system in presence of dust particles have been derived.
Abstract: In this paper, the joint distribution functions for simultaneous velocity, temperature, concentration fields in turbulent flow under going a first order reaction in a rotating system in presence of dust particles have been studied. The various properties of the constructed joint distribution functions such as, reduction property, separation propert...
Show More
