The analysis of the dynamic buckling of a clamped finite imperfect viscously damped column lying on a quadratic-cubic elastic foundation using the methods of asymptotic and perturbation technique is presented. The proposed governing equation contains two small independent paramet...
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Research Article10.9734/arjom/2019/v14i430132
This thesis is about Construction of Polynomials in Galois fields Using Normal Bases in finite fields. In this piece of work, we discussed the following in the text; irreducible polynomials, primitive polynomials, field, Galois field or finite fields, and the order of a finite fi...
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Research Article10.9734/arjom/2019/v14i330131
The well known Pentanacci sequence is a fifth order recurrence sequence. In this paper, it will be dened an other generalized Pentanacci sequence and established some properties of this sequence using matrix methods.
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Research Article10.9734/arjom/2019/v14i330129
The present article was aimed at investigating the effects of variable viscosity on natural convection flow between vertical parallel plates in the presence of heat generation/absorption. The nonlinear differential equations governing the flow were solved using Homotopy perturbat...
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Research Article10.9734/arjom/2019/v14i330128
In this research paper, we were able to study countable sets. To achieve this, fundamental ideas and concepts from set theory and mathematical analysis were considered. Some important theorems on countable sets were reviewed and nally, the application of the theorems studied were...
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Research Article10.9734/arjom/2019/v14i330127
This paper presents the one-dimensional, positive temperature coefficient (PTC) thermistor equation, using the hyperbolic-tangent function as an approximation to the electrical conductivity of the device. The hyperbolic-tangent function describes the qualitative behaviour of the...
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Research Article10.9734/arjom/2019/v14i230125
An extended Tanh-function method with Riccati equation is presented for constructing multiple exact travelling wave solutions of some nonlinear evolution equations which are particular cases of a generalized equation. The results of solitary waves are general compact forms with n...
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Research Article10.9734/arjom/2019/v14i230124
Collatz conjecture (stated in 1937 by Collatz and also named Thwaites conjecture, or Syracuse, 3n+1 or oneness problem) can be described as follows: Take any positive whole number N. If N is even, divide it by 2. If it is odd, multiply it by 3 and add 1. Repeat this process to th...
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Research Article10.9734/arjom/2019/v14i230123
The goal of this article is to consider an Ishikawa type iteration process with errors to approximate the fixed point of -asymptotically quasi non-expansive mapping in convex cone metric spaces. Our results extend and generalize many known results from complete generalized convex...
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Research Article10.9734/arjom/2019/v14i230121
In this paper the concept of total outer independent monophonic domination number of a graph is introduced. A monophonic set SÍV is said to be total outer independent monophonic domination set if <S> has no isolated vertex and <V-S> is an independent set.
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Research Article10.9734/arjom/2019/v14i130120
Yusuf Dauda Jikantoro, Yahaya Badeggi Aliyu, Aliyu Alhaji Ishaku Ma’ali, Abdulkadir Abubakar & Ismail Musa·Asian Research Journal of Mathematics·2019
Presented here is a numerical integrator, with sixth order of convergence, for solving oscillatory problems. Dispersion and dissipation errors are taken into account in the course of deriving the method. As a result, the method possesses dissipation of order infinity and dispersi...
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Research Article10.9734/arjom/2019/v14i130119
We study the qualitative behavior of a predator-prey model, where the carrying capacity of the predators environment is proportional to the number of prey. The considered system is given by the following rational difference equations: $$x_{n+1}=\dfrac{x_{n} y_{n-2}}{y_{n-1} + y_{...
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Research Article10.9734/arjom/2019/v14i130118
By applying the classical Holder's inequality, Young's inequality, Minkowski's inequality and some other analytical tools, we establish some inequalities involving the Chaudhry-Zubair extension of the gamma function. The established results serve as generalizations of some known...
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Research Article10.9734/arjom/2019/v14i130117