This article is devoted to use the basic Lie symmetry method to obtain the admitted Lie group of the reduction of Time fractional generalized Burgers equation. One-dimensional and two-dimensional optimal system are determined for symmetry algebras obtained through classification...
Open access
Research Article10.9734/ARJOM/2018/41334
Differential and integral as well as Partial integro-differential equations (PIDE) occur naturally in various fields of science, engineering and social sciences. In this article, the Ramadan group integral transform of the convolution is used to solve such types of equations. We...
Open access
Research Article10.9734/ARJOM/2018/45489
This paper considers the development of an efficient Stormer-Cowell-Typed method for the direct solution of second order ordinary differential equations using the method of interpolation of the combination of Cheybeshev and Legendre polynomials approximate solution and collocatio...
Open access
Research Article10.9734/ARJOM/2018/44676
The classi cation of operator matrices has attracted a great deal of research in the recent past. To the class of such matrices belongs; the Normal, Binormal, Hypernormal, Hamadard, Toeplitz, Pythagorean matrix operators among others. These operator matrices demonstrate many clas...
Open access
Research Article10.9734/ARJOM/2018/45115
This study searches for optimal symmetric and asymmetric Conditional Heteroskedasticity (ARCH/GARCH) models that best fit and model volatility between Nigeria Naira and United States Dollar exchange rate dynamics in Nigeria using non-Gaussian errors. The study utilizes daily clos...
Open access
Research Article10.9734/ARJOM/2018/39860
In this work we are interested by giving new characterizations of the symmetric q-Gamma function and show that there are intimately related. For that, some special q-calculus technics are used.
Open access
Research Article10.9734/ARJOM/2018/44348
In the present study, Unsteady Oscillatory Couette Flow between vertical parallel plates with constant radiative heat flux is considered. The mathematically formulated governing equations are simplified with dimensionless variables and coupled ordinary differential equations were...
Open access
Research Article10.9734/ARJOM/2018/44702
Seasonal Rainfall in Nigeria is usually complex due to the tremendous range of variation over a wide range of scales both in space and time. Forecasting techniques such as Multiple Linear Regression (MLR) and Artificial Neural Network (ANN) have been used to study rainfall. This...
Open access
Research Article10.9734/ARJOM/2018/44049
In this paper, we introduced and studied a new kind of generalized closed set called $$\tau_1\tau_2$-$\bar{g}$$-closed set in a bitopological space $$(X,\tau_1, \tau_2)$$. The properties of this $$\tau_1\tau_2$-$\bar{g}$$-closed set are studied and compared with some of the corre...
Open access
Research Article10.9734/ARJOM/2018/44752
In this article, We adjusted the equations by using non-linear saturation controller (NSC) to control the vibrations of vertical conveyor. The system described by a four-degree-of-freedom (4-DOF) including the cubic non-linear terms and external excitations. We applied the multip...
Open access
Research Article10.9734/ARJOM/2018/44590