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All published articles 1763

On the Analytical Approximation of the Nonlinear Cubic Oscillator by an Iteration Method

B. M. Ikramul Haque, A. K. M. Selim Reza & Md. Mominur Rahman · Journal of Advances in Mathematics and Computer Science · 2019

A modified approximate analytic solution of the cubic nonlinear oscillator “ ” has been obtained based on an iteration procedure. Here we have used the truncated Fourier series in each iterative step. The approximate frequencies obtained by this technique show a good agreement wi...

Open access Research Article 10.9734/jamcs/2019/v33i330177

Linear Summing Formulas of Generalized Pentanacci and Gaussian Generalized Pentanacci Numbers

Yüksel Soykan · Journal of Advances in Mathematics and Computer Science · 2019

In this paper, we present linear summation formulas for generalized Pentanacci numbers and generalized Gaussian Pentanacci numbers. Also, as special cases, we give linear summation formulas of Pentanacci and Pentanacci-Lucas numbers; Gaussian Pentanacci and Gaussian Pentanacci-Lu...

Open access Research Article 10.9734/jamcs/2019/v33i330176

Optimization of a Grid-Connected Photovoltaic System in a Densely Populated Residential Community

Bernard Atta Adjei, Elvis K. Donkoh, Dominic Otoo, Emmanuel De-Graft Johnson Owusu-Ansah & Francois Mahama · Journal of Advances in Mathematics and Computer Science · 2019

In Ghana, the majority of reliable electricity is generated in centralized plants. This type of electricity generation structure undoubtedly contributes to the economic rise in electricity tariffs and transmission losses due to the operational cost of such plants and their vast d...

Open access Research Article 10.9734/jamcs/2019/v33i230175

Modeling Nonlinear Partial Differential Equations and Construction of Solitary Wave Solutions in an Inductive Electrical Line

Tiague Takongmo Guy & Jean Roger Bogning · Journal of Advances in Mathematics and Computer Science · 2019

A soliton is considered nowadays as a future wave reason being the fact that it is a stable, robust and non-dissipative solitary wave. If one uses a soliton as a transmission signal in electrical lines, this will have a great impacts in the domain of economic, technology and educ...

Open access Research Article 10.9734/jamcs/2019/v33i230174

Optimal Exercise Time to Control Glucose in type 2 Diabetes

M. O. Ohemeng, D. Otoo, E. K. Donkoh & H. Andoh · Journal of Advances in Mathematics and Computer Science · 2019

Diabetes is a lifelong disease that affect the way the body regulates blood glucose. Type 2 diabetes occurs when β cells do not produce enough insulin to regulate glucose in the blood. In this paper the authors used exercise as a tool to predict the optimal effect of glucose regu...

Open access Research Article 10.9734/jamcs/2019/v33i230171

Bivariate Copula Based Models for the Dependence of Maternal Mortality Ratio(MMR) on Gross Domestic Product(GDP) and Total Fertility Rate(TFR)

Gabriel Asare Okyere, Godfred Zaachi, Emmanuel K. Owusu-Mintah & Charles K. Amponsah · Journal of Advances in Mathematics and Computer Science · 2019

Global progress towards reducing high Maternal Mortality Rates (MMR) turned to be defeated by high maternal mortalities originating from developing countries. In rural Ghana, the lack of logistics, medical and laboratory equipment are among other key factors responsible for the h...

Open access Research Article 10.9734/jamcs/2019/v33i230172

Numerical Optics Soliton Solution of the Nonlinear Schrödinger Equation Using the Laplace and the Modified Laplace Decomposition Method

M. M. El-Horbaty & F. M. Ahmed · Journal of Advances in Mathematics and Computer Science · 2019

In this paper, the Laplace decomposition method (LDM) and some modification, namely the Modified Laplace decomposition method (MLDM), are adopted to numerically investigate the optic soliton solution of the nonlinear complex Schrödinger equation (NLSE). The obtained results demon...

Open access Research Article 10.9734/jamcs/2019/v33i230173

Cell Arrangement Method for Solving Systems of Linear Equations in Three Unknown

A. Adu-Sackey, G. O. Lartey, F. T. Oduro & Stephen Eduafo · Journal of Advances in Mathematics and Computer Science · 2019

In this paper, we develop an approach for finding the cofactor, ad joint, determinant and inverse of a three by three matrix under the Cell Arrangements method using the coefficient matrix of a given systems of linear equation in three unknowns. The method takes out completely th...

Open access Research Article 10.9734/jamcs/2019/v33i130170

Revisiting Feller Diffusion: Derivation and Simulation

Ranjiva Munasinghe, Leslie Kanthan & Pathum Kossinna · Journal of Advances in Mathematics and Computer Science · 2019

We propose a simpler derivation of the probability density function of Feller Diffusion by using the Fourier Transform on the associated Fokker-Planck equation and then solving the resulting equation via the Method of Characteristics. We use the derived probability density to for...

Open access Research Article 10.9734/jamcs/2019/v33i130169

Cramér-Rao Bound of Direction Finding Using Uniform Arc Arrays

Veronicah Nyokabi, Dominic Makaa Kitavi & Cyrus Gitonga Ngari · Journal of Advances in Mathematics and Computer Science · 2019

Direction-of-Arrival estimation accuracy using arc array geometry is considered in this paper. There is a scanty use of Uniform Arc Array (UAA) in conjunction with Cramer-Rao bound (CRB) for Direction-of-Arrival estimation. This paper proposed to use Uniform Arc Array formed from...

Open access Research Article 10.9734/jamcs/2019/v33i130168

Fixed Points of Contractive Type Maps in Cone Metric Space over Banach Algebra

Ashfaque Ur Rahman, Geeta Modi, K. Qureshi & Manoj Ughade · Journal of Advances in Mathematics and Computer Science · 2019

Our goal in this paper is to prove some fixed point and common fixed theorems for contractive type maps in a CMS over Banach algebra, which unify, extend and generalize most of the existing relevant fixed point theorems from Shaoyuan Xu and Stojan Radenovic [1]. We provide illust...

Open access Research Article 10.9734/jamcs/2019/v33i130166

Mathematical Model of the Transmission Dynamics of Lassa Fever with Separation of Infected Individual and Treatment as Control Measures

S. C. Nwasuka, I. E. Nwachukwu & P. C. Nwachukwu · Journal of Advances in Mathematics and Computer Science · 2019

A non–linear deterministic mathematical model is formulated and analysed to study the controllability of lassa fever incorporating separation of infected individuals and treatment measures. The model assumes that humans susceptible acquired the Infection via interaction with the...

Open access Research Article 10.9734/jamcs/2019/v32i630164

Approximate Solution Technique for Singular Fredholm Integral Equations of the First Kind with Oscillatory Kernels

Vivian Ndfutu Nfor & George Emese Okecka · Journal of Advances in Mathematics and Computer Science · 2019

An efficient quadrature formula was developed for evaluating numerically certain singular Fredholm integral equations of the first kind with oscillatory trigonometric kernels.  The method is based on the Lagrange interpolation formula and the orthogonal polynomial considered are...

Open access Research Article 10.9734/jamcs/2019/v32i630163

Numerical Solution to One-dimensional Consolidation by the Finite Element Method

E. Nwankwo, O. D. Aluko, S. Iyeke & A. Aladenika · Journal of Advances in Mathematics and Computer Science · 2019

Adequate prediction of structures settlement is of utmost importance in order to prevent future failure of civil engineering structures due to excessive settlement resulting from an inadequate settlement prediction. In this paper, laboratory consolidation test was performed on fi...

Open access Research Article 10.9734/jamcs/2019/v32i630162