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All published articles 1763

A New Definition of Limit of Periodic Function and Periodic g-Contractive Mapping at Infinity

Tian-Quan Yun · Journal of Advances in Mathematics and Computer Science · 2015

Limit is a basic concept of calculus. However, according to the updated definition, the limit of periodic function at infinity is not in existence. This conclusion of description does not suit with the periodic phenomenon. For example, the temperature on earth is changed periodic...

Open access Research Article 10.9734/BJMCS/2015/18768

Inconsistent Countable Set in Second Order ZFC and Nonexistence of the Strongly Inaccessible Cardinals

Jaykov Foukzon · Journal of Advances in Mathematics and Computer Science · 2015

In this article we derived an important example of the inconsistent countable set in second order ZFC (ZFC2) with the full second-order semantics. Main results: (i) ¬Con(ZFC2), (ii) let k be an inaccessible cardinal and Hk is a set of all sets having hereditary size less then k,...

Open access Research Article 10.9734/BJMCS/2015/16849

Filter Based Feature Selection for Automatic Detection of Erythemato-squamous Diseases

A. H. El-Baz · Journal of Advances in Mathematics and Computer Science · 2015

This paper presents an automatic diagnosis model of erythemato-squamous diseases. The proposed model consists of two stages. In the first stage, two filter based feature selection methods, namely rough set using Johnson's algorithm and ranked features for feature selection of ery...

Open access Research Article 10.9734/BJMCS/2015/17618

A Parabolic Transform and Some Stochastic Ill-Posed Problems

Mahmoud M. El-Borai & Khairia El-Said El-Nadi · Journal of Advances in Mathematics and Computer Science · 2015

It is well known that the Cauchy problem for elliptic partial dierential equations is ill-posed. The question, which arises, how a priori knowledge about solutions can bring about stability? A parabolic transform is dened to discuss the stability of the Cauchy problem for some st...

Open access Research Article 10.9734/BJMCS/2015/18587

The Concept of Multiset Category

Ahmed I. Isah & Y. Tella · Journal of Advances in Mathematics and Computer Science · 2015

In this paper category of multisets (Mul) is presented and various operations of category of sets such as points, products, sums, etc., were introduced in Mul and related results were proved. It is further shown that the product of two objects is unique as is the case for the sum...

Open access Research Article 10.9734/BJMCS/2015/18415

Reservoir Network Modelling with Alternative Reservoir and Sediment Considerations

M. K. A. Abdulrahman, A. A. Mohd Ismail & Kek Sie Long · Journal of Advances in Mathematics and Computer Science · 2015

Consideration of alternative reservoir in reservoir network for flood control is born out of the need to provide a complete formulation and provide solution to problem associated with sediment inflow. A set of (m+2) coupled nonlinear ODE is formulated for design and management of...

Open access Research Article 10.9734/BJMCS/2015/17200

Application of Multiple Scale Method to a Discretized Financial PDE

Bright O. Osu & Okechukwu U. Solomon · Journal of Advances in Mathematics and Computer Science · 2015

This paper presents an application of two way variable expansion method (multiple scale) for the calculation of the periodic solutions, resulted from a Hopf bifurcation of a discretized generic PDE in finance to a first order time-delay system arising from laser dynamics and a si...

Open access Research Article 10.9734/BJMCS/2015/18407

On Hyperbolic Monomolecular Growth Model in Height/ Diameter Growth of PINES

Angela Unna Chukwu & Samuel Oluwafemi OYAMAKIN · Journal of Advances in Mathematics and Computer Science · 2015

This paper proposed a hyperbolic monomolecular growth model (HMMGM). The stabilizing parameter θ was introduced into the existing growth equations using a hyperbolic sine function given by. The reparametized equation namely, Hyperbolic Monomolecular Growth Equation, which was sol...

Open access Research Article 10.9734/BJMCS/2015/14141

Discrete Adomian Decomposition Method for Fuzzy Convection-Diusion Equation

Amir Fallahzadeh & Mohammad Ali Fariborzi Araghi · Journal of Advances in Mathematics and Computer Science · 2015

In this paper, the discrete Adomian decomposition method (DADM) is applied to obtain the approximate solution of fuzzy convection-diusion equation (FCDE). The numerical results are compared with the exact solution. It is shown that this method is accurate and eective for FCDE. Al...

Open access Research Article 10.9734/BJMCS/2015/14727

Positive Solutions for a Coupled Nonlinear Fractional Differential System with Coefficients that Change Signs

Zhoujin Cui & Zuodong Yang · Journal of Advances in Mathematics and Computer Science · 2015

This paper investigates the existence of positive solutions of the nonlinear fractional di_erential system _   where 0 < s; p < 1, Ds;Dp are the standard Riemann-Liouville fractional derivatives, λ; μ > 0 are parameters. The peculiarity of this coupled equations is the c...

Open access Research Article 10.9734/BJMCS/2015/17028