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All published articles 1763

An Empirical Approach to Optimize Design of Backpropagation Neural Network Classifier for Textile Defect Inspection

Md. Tarek Habib & M. Rokonuzzaman · Journal of Advances in Mathematics and Computer Science · 2013

Automated fabric inspection systems have been drawing plenty of attention of the researchers in order to replace manual inspection. Two difficult problems are mainly posed by automated fabric inspection systems. They are defect detection and defect classification. Backpropagation...

Open access Research Article 10.9734/BJMCS/2013/4154

Asymptotical Wave Speed and Monotone Property of Traveling Wave Solution for a Two-Species Ratio-Dependent Predator-Prey System with Free Diffusion and Discrete Delay

Zhihao Ge, Qingjie Hu & Suna Ma · Journal of Advances in Mathematics and Computer Science · 2013

In this paper, we consider a two-species ratio-dependent predator-prey system with free diffusion and discrete time delay. We study the asymptotical wave speed to give the necessary condition on the front speed, and prove that the traveling wave solution by combining the approach...

Open access Research Article 10.9734/BJMCS/2013/4804

Exact Explicit Traveling Solutions for a (2+1)-Dimensional Generalized KP-BBM Equation

Liyan Zhong & Shengqiang Tang · Journal of Advances in Mathematics and Computer Science · 2013

By using the sine-cosine method, the extended tanh-method, we study a (2+1)-dimensional generalized Kadomtsov-Petviashvili-Benjamin-Bona-Mahony equation. It is shown that this class gives compactons solutions, solitary patterns solutions and periodic solutions. The change of the...

Open access Research Article 10.9734/BJMCS/2013/3951

Geometric Approaches to Bus Scheduling in Northern Ontario

Tzvetalin S. Vassilev & Laura J. Huntington · Journal of Advances in Mathematics and Computer Science · 2013

Aims: To study the current bus network of Ontario Northland from geometric point of view. Identify the best locations for the bus depots, considering different scenarios and number of depots. Provide insight into the best ways to open a new depot, relocate one or more of the exis...

Open access Research Article 10.9734/BJMCS/2013/3686

New Aspects of Double Bounded Polynomial Homotopy

H. Vazquez-Leal, A. Sarmiento-Reyes, Y. Khan, A. Yıldırım, U. Filobello-Nino, R. Castaneda-Sheissa, A.L. Herrera-May, V.M. Jimenez-Fernandez, S.F. Hernandez-Machuca & L. Cuellar-Hernandez · Journal of Advances in Mathematics and Computer Science · 2013

This work presents some new aspects about the mathematical properties of the double bounded polynomial homotopy like: isolated symmetry branches equation and a study about initial and final points of the path and curvature radius. The application of the homotopy is illustrated by...

Open access Research Article 10.9734/BJMCS/2013/2266

Global Analysis of a Nonautonomous Predator-Prey Model with Double Delays and Stage Structure

Li Ying-ke, Dena Turehan & Mehbuba Rehem · Journal of Advances in Mathematics and Computer Science · 2013

A nonautonomous predator-prey system with stage-structure and double time delays is investigated in the present paper. Based on some comparison arguments we discuss the permanence of the species. By using the continuation theorem of coincidence degree theory, the existence of a p...

Open access Research Article 10.9734/BJMCS/2013/3875

Damageable Thermal Behavior of Thermoplastic Flat Plate under Uniaxial Stress

H. Farid, K. Elhad, M. Elghorba, F. Erchiqui & M. Chergui · Journal of Advances in Mathematics and Computer Science · 2013

The behavior of polymers is remarkably related to temperature, its influence on physical characteristics should not be denied in the study of mechanical or physical behavior, especially in the study of forming processes that require an important apport of mechanical and thermal e...

Open access Research Article 10.9734/BJMCS/2013/3179

The Recursive Equivalent Formula of Quadratic Rotation Symmetric Functions Which Contain Two MRS Functions

Hongli-liu . · Journal of Advances in Mathematics and Computer Science · 2013

The equivalent form of quadratic Boolean functions can determine the weight and nonlinearity. In order to obtain the equivalent form of odd variables quadratic rotation symmetric function which contains two MRS functions ƒn,i and ƒn,j , we discuss the recursive equivalent formula...

Open access Research Article 10.9734/BJMCS/2013/3960

A Competition and Harvesting Model Applied to a Fish Population Along the Moroccan Cost

A. Boutayeb, M.E.N. Lamlili & W. Boutayeb · Journal of Advances in Mathematics and Computer Science · 2013

Objectives: The aims of this paper is to study the dynamics of three populations of fish living along the Moroccan Atlantic costs. Methodology: Using ordinary differential equations, a mathematical model is proposed, assuming competition between neighbouring populations and harve...

Open access Research Article 10.9734/BJMCS/2013/4314

Numerical Determination of the Optimal Value of Quantizer’s Segment Threshold Using Quadratic Spline Functions

Lazar Velimirović, Zoran Perić, Miomir Stanković & Jelena Nikolić · Journal of Advances in Mathematics and Computer Science · 2013

In this paper, an approximation of the optimal compressor function using the quadratic spline functions has been presented. The coefficients of the quadratic spline functions are determined by minimizing the mean-square error (MSE). Based on the obtained approximative quadratic s...

Open access Research Article 10.9734/BJMCS/2013/4274

Numerical Fractional Differentiation: Stability Estimate and Regularization

Ailin Qian & Guangfu Wang · Journal of Advances in Mathematics and Computer Science · 2013

It is well known that the problem of fractional differentiation n is an ill-posed problem. So far there exists many approximation methods for solving this problem. In this paper we prove a stability estimate for a problem of fractional differentiation. Based on the obtained stabi...

Open access Research Article 10.9734/BJMCS/2013/3921

Mathematical Model and Analysis of Counter-Current Imbibition in Vertical Downward Homogeneous Porous Media

A. K. Parikh, M. N. Mehta & V. H. Pradhan · Journal of Advances in Mathematics and Computer Science · 2013

The problem of counter-current imbibition phenomenon in double immiscible phase (oil and water) flow through homogeneous porous medium in vertical downward direction has been discussed by developing its mathematical model and the solution of non linear partial differential equati...

Open access Research Article 10.9734/BJMCS/2013/3367