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All published articles 1763

Cramér-Rao Bound of Direction Finding Using a Uniform Hexagonal Array

Grace Wakarima Ndiritu, Dominic Makaa Kitavi & Cyrus Gitonga Ngari · Journal of Advances in Mathematics and Computer Science · 2019

Direction-of-arrival (DOA) estimation is a key area of sensor array processing which is encountered  in many important engineering applications. Although various studies have focused on the uniform hexagonal array for direction finding, there is a scanty use of the uniform hexago...

Open access Research Article 10.9734/jamcs/2019/v32i630161

Perturbation Approach in the Dynamic Buckling of a Model Structure with a Cubic-quintic Nonlinearity Subjected to an Explicitly Time Dependent Slowly Varying Load

A. M. Ette, I. U. Udo-Akpan, J. U. Chukwuchekwa, A. C. Osuji & M. F. Noah · Journal of Advances in Mathematics and Computer Science · 2019

This investigation is concerned with analytically determining the dynamic buckling load of an imperfect cubic-quintic nonlinear elastic model structure struck by an explicitly time-dependent but slowly varying load that is continuously decreasing in magnitude. A multi-timing regu...

Open access Research Article 10.9734/jamcs/2019/v32i630160

Analysis and Modeling of Tuberculosis Transmission Dynamics

Rodah Jerubet, George Kimathi & Mary Wanaina · Journal of Advances in Mathematics and Computer Science · 2019

Mycobacterium tuberculosis is the causative agent of Tuberculosis in humans [1,2]. A mathematical model that explains the transmission of Tuberculosis is developed. The model consists of four compartments; the susceptible humans, the infectious humans, the latently infected human...

Open access Research Article 10.9734/jamcs/2019/v32i530159

Construction of Stable High Order One-Block Methods Using Multi-Block Triple

I. J. Ajie, K. Utalor & M. O. Durojaiye · Journal of Advances in Mathematics and Computer Science · 2019

This paper deals with the construction of l-stable implicit one-block methods for the solution of stiff initial value problems. The constructions are done using three different multi-block methods. The first multi-block method is composed using Generalized Backward Differentiatio...

Open access Research Article 10.9734/jamcs/2019/v32i530158

Parametric Bootstrapping Predictive Estimator for Logistic Regression

Kunio Takezawa, タケザワ, クニオ & 竹澤, 邦夫 · Journal of Advances in Mathematics and Computer Science · 2019

This paper proposes a method for constructing a predictive estimator for logistic regression. We make a provisional assumption that the predictive estimator is given by multiplying the maximum likelihood estimators by constants, which are estimated using a parametric bootstrap me...

Open access Research Article 10.9734/jamcs/2019/v32i530154

Homotopy Analysis Decomposition Method for the Solution of Viscous Boundary Layer Flow Due to a Moving Sheet

S. Alao, R. A. Oderinu, F. O. Akinpelu & E. I. Akinola · Journal of Advances in Mathematics and Computer Science · 2019

This paper investigates a new approach called Homotopy Analysis Decomposition Method (HADM) for solving nonlinear differential equations, the method was developed by incorporating Adomian polynomial into Homotopy Analysis Method. The Adomian polynomial was used to decompose the n...

Open access Research Article 10.9734/jamcs/2019/v32i530157

Calculation and Analysis of the Amber Interval in Traffic Flow

Meng Xinyu, Zhao Jian, Zhang Wei & Meng Zhaoping · Journal of Advances in Mathematics and Computer Science · 2019

According to the relationship between the speed of vehicle and the amber light, we establish the differential equation model of the amber light duration. And based on the relevant conditions given in the title, three differential equation models of amber light duration under diff...

Open access Research Article 10.9734/jamcs/2019/v32i430153

Solving Directly Second Order Initial Value Problems with Lucas Polynomial

A. O. Adeniran & I. O. Longe · Journal of Advances in Mathematics and Computer Science · 2019

Aims/ Objectives: This   paper   presents    a  one step  hybrid  numerical  scheme  with one off grid  points   for solving directly the general second order initial value problems. Study Design: Section one which is the introduction, give a brief about initial value problem. In...

Open access Research Article 10.9734/jamcs/2019/v32i430152

Perturbation Solutions to Fifth Order Over-damped Nonlinear Systems

Harun-Or- Roshid, M. Zulfikar Ali, Pinakee Dey & M. Ali Akbar · Journal of Advances in Mathematics and Computer Science · 2019

Fifth order over-damp nonlinear differential systems can be used to describe many engineering problems and physical phenomena occur in the nature. In this article, the Krylov-Bogoliubov-Mitropolskii (KBM) method has been extended to investigate the solution of a certain fifth ord...

Open access Research Article 10.9734/jamcs/2019/v32i430151

Geometrical Properties and Exact Solutions of Three (3+1)-Dimensional Nonlinear Evolution Equations in Mathematical Physics Using Different Expansion Methods

A. R. Shehata & Safaa S. M. Abu-Amra · Journal of Advances in Mathematics and Computer Science · 2019

In this article, A Variation of -Expansion Method and -Expansion Method have been applied to find the traveling wave solutions of the (3+1)-dimensional Zakhrov-Kuznetsov (ZK) equation, the (3+1)-dimensional Potential-YTSF Equation and the (3+1)-dimensional generalized Shallow wat...

Open access Research Article 10.9734/jamcs/2019/v32i430149

Adaptive Variable Weight Accumulation AVWA-DGM(1,1) Model Based on Particle Swarm Optimization

Lang Yu · Journal of Advances in Mathematics and Computer Science · 2019

The development of higher education is an extremely important issue. It is the source of the country's technological innovation and the realization of innovation and development, especially in China, where higher education is still at an exploratory stage. Aiming at the shortcomi...

Open access Research Article 10.9734/jamcs/2019/v32i430150

Aperture Maximization with Half-Wavelength Spacing, via a 2-Circle Concentric Array Geometry that is Uniform but Sparse

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

This paper proposes a new sensor-array geometry (the 2-circle concentric array geometry), that maximizes the array's spatial aperture mainly for bivariate azimuth-polar resolution of direction-of-arrival estimation problem. The proposed geometry provides almost invariant azimuth...

Open access Research Article 10.9734/jamcs/2019/v32i330148

Integrability of Very Weak Solutions for Boundary Value Problems of Nonhomogeneous p-Harmonic Equations

Yeqing Zhu, Yanxia Zhou & Yuxia Tong · Journal of Advances in Mathematics and Computer Science · 2019

The paper deals with very weak solutions u to boundary value problems of the nonhomogeneous p-harmonic equation. We show that, any very weak solution u to the boundary value problem is integrable provided that r is sufficiently close to p.

Open access Research Article 10.9734/jamcs/2019/v32i330147

Logical Design of n-bit Comparators: Pedagogical Insight from Eight-Variable Karnaugh Maps

Ali Muhammad Ali Rushdi & Sultan Sameer Zagzoog · Journal of Advances in Mathematics and Computer Science · 2019

An -bit comparator is a celebrated combinational circuit that compares two -bit inputs  and  and produces three orthonormal outputs: G (indicating that  is strictly greater than ), E (indicating that  and  are equal or equivalent), and L (indicating that  is strictly less than )....

Open access Research Article 10.9734/jamcs/2019/v32i330146