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All published articles 465

Conservation Properties of the Trapezoidal Rule for Linear Transient Electromagnetics

Arup Nandy & C. S. Jog · Journal of Advances in Mathematics and Computer Science · 2018

The Time Domain Finite Element Method (TDFEM) has been used extensively to solve transient electromagnetic radiation and scattering problems. But in most implementations so far, vector basis functions have been used to discretize the field variables. In multiphysics simulations t...

Open access Research Article 10.9734/JAMCS/2018/39632

A Self-Starting Five-Step Eight-Order Block Method for Stiff Ordinary Differential Equations

D. Raymond, J. Z. Donald, A. I. Michael & G. Ajileye · Journal of Advances in Mathematics and Computer Science · 2018

This paper examines the implementation of a self-starting five-step eight-order block method with two off-grid for stiff ordinary differential equations using interpolation and collocation procedures. The predictor schemes are then expanded using Taylor’s series expansion. Multip...

Open access Research Article 10.9734/JAMCS/2018/18909

A Mathematical Model for Estimating the Ideal Number of Outsource Academic Staff for Private Universities in Nigeria

Osatohanmwen Enagbonma & Augustine A. Osagiede · Journal of Advances in Mathematics and Computer Science · 2018

We developed a model for determining the ideal number of outsourcing academic staff in privately owned universities in Nigeria. The method takes National Universities Commission (NUC) guideline on staff regulation into consideration. The estimated ideal number of outsourcing acad...

Open access Research Article 10.9734/JAMCS/2018/39675

Conjugate Effects of Viscous Dissipation and Dependent Viscosity on Natural Convection Flow over a Sphere with Joule Heating and Heat Conduction

Md. M. Alam, Ruhul Imran, Sumita Ghosh & Raihanul Haque · Journal of Advances in Mathematics and Computer Science · 2018

In the present paper, the effect of viscous dissipation and dependent viscosity on free convection flow over a sphere has been investigated. Joule heating and heat conduction over a sphere are considered as well in this investigation. With a goal to attain similarity solutions of...

Open access Research Article 10.9734/JAMCS/2018/39155

Root Systems, Cartan Matrix and Dynkin Diagrams in Classification of Lie Algebras

Um Salama Ahmed Abdulla Alemam & Mohamed Alamin Abdalla Hamid Ahmed · Journal of Advances in Mathematics and Computer Science · 2018

This review paper deals with Lie algebras, with some concentration on root systems, which help in classification and many applications of symmetric spaces. We deal with the basic concept of a root system. First, its origins in the theory of Lie algebras are exposed, then an axiom...

Open access Research Article 10.9734/JAMCS/2018/38568

An Exposition of the Eight Basic Measures in Diagnostic Testing Using Several Pedagogical Tools

Ali Muhammad Ali Rushdi & Fayez Ahmad Talmees · Journal of Advances in Mathematics and Computer Science · 2018

Diagnostic testing concerning categorical or dichotomized variables is ubiquitous in many fields including, in particular, the field of clinical or epidemiological testing. Typically, results are aggregated in two-by-two contingency-table format, from which a surprisingly huge nu...

Open access Research Article 10.9734/JAMCS/2018/39367

Generalized Frequency Re-use Ratio for Uniform and Non-uniform Cell Range in Telecommunication Network Design

Elvis K. Donkoh, James Adu Ansere & Samuel G. Apau · Journal of Advances in Mathematics and Computer Science · 2018

GSM network design requires efficient interference management technique, which offers significant capacity enhancement and improves cell edge coverage with low complexity of implementation. This is done by assigning different frequencies to adjacent cells to avoid interference or...

Open access Research Article 10.9734/JAMCS/2018/39362

E-Bayesian Estimation of Two-Component Mixture of Inverse Lomax Distribution Based on Type-I Censoring Scheme

Hesham M. Reyad & Soha A. Othman · Journal of Advances in Mathematics and Computer Science · 2018

This study is concerned with comparing the E-Bayesian and Bayesian methods for estimating the shape parameters of two-component mixture of inverse Lomax distribution based on type-i censored data. Based on the squared error loss (SELF), minimum expected loss (MELF), Degroot loss...

Open access Research Article 10.9734/JAMCS/2018/39087

Design of a Digital Circuit for Integer Factorization via Solving the Inverse Problem of Logic

Ali Muhammad Ali Rushdi & Sultan Sameer Zagzoog · Journal of Advances in Mathematics and Computer Science · 2018

In standard problems of digital circuit design, a switching function (two-valued Boolean function) is specified declaratively as a (usually incomplete) asserted relation R(X,Z), or equivalently as an equation R(X,Z) = 1, where X and Z are inputs and outputs, respectively. To obta...

Open access Research Article 10.9734/JAMCS/2018/39285

The (P-A-L) Modified Weibull Distribution

Mahmoud R. Mahmoud, Rasha M. Mandouh & Marwa M. Hamada · Journal of Advances in Mathematics and Computer Science · 2018

This paper presented The (P-A-L) Modified Weibull Distribution. We can compute several properties of this distribution. The maximum likelihood estimators are obtained. Using simulation study, mean, relative bias, root and scaled mean square error for maximum likelihood estimators...

Open access Research Article 10.9734/JAMCS/2018/39023

Relations between Various Magnitudes Which Serve as Signs of a Right-angled Triangle

Moshe Stupel & Avi Sigler · Journal of Advances in Mathematics and Computer Science · 2018

We present a proven scheme of 15 relations between the sides of a triangle, the radii of incircles and excircles of the triangle, the area and half the perimeter of the triangle, which serve as signs of a right-angled triangle, together with the 16th relation which is the Pythago...

Open access Research Article 10.9734/JAMCS/2018/38654

Explicit Determinants and Inverses of Skew Circulant and Skew Left Circulant Matrices with the Pell-Lucas Numbers

Jinjiang Yao & Jixiu Sun · Journal of Advances in Mathematics and Computer Science · 2018

In this paper, we consider the skew circulant and skew left circulant matrices with the Pell-Lucas numbers. We discuss the invertibility of the skew circulant and skew left circulant matrices and present the determinant and the inverse matrix of them by constructing the transform...

Open access Research Article 10.9734/JAMCS/2018/38768