American Journal of Computational and Applied Mathematics 

About: American Journal of Computational and Applied Mathematics is an academic journal. The journal publishes majorly in the area(s): Nonlinear system & Iterative method. It has an ISSN identifier of 2165-8935. It is also open access. Over the lifetime, 219 publications have been published receiving 848 citations.

Fractional Fourier Series with Applications

Abstract: In this paper, we introduce conformable fractional Fourier series. We use such series to solve certain partial fractional differential equations.

Stability Analysis of SIR Model with Vaccination

Abstract: This paper aims to study a SIR model with and without vaccination. A reproduction number R0 is defined and it is obtained that the disease-free equilibrium point is unstable if ���� 0 > 1 and the non-trivial endemic equilibrium point exist if ���� 0 > 1 in the absence of vaccination. Further, a new reproduction number �������� is defined for the model in which vaccination is introduced. The linear stability and the global stability of both the models are discussed and the comparison of both the models is done regarding the existence of the disease-free equilibrium point and endemic equilibrium point. Finally, a numerical example is given in support of the result.

Forming Mechanizm of Bhalekar-Gejji Chaotic Dynamical System

Abstract: Chaotic dynamical systems are used to model various natural phenomena. Bhalekar-Gejji chaotic dynamical system is a system of three ordinary differential equations containing only two nonlinear terms. Th is system shows two-scroll butterfly-shaped attractor for certain values of parameters . In this article we show that the two-scroll attractor in this system is formed fro m t wo one-scroll attractors. We have used a control parameter in the third equation of the system to study the forming procedure of the attractor.

A Study on Fuzzy Systems

Abstract: In the present paper we use princip les of fuzzy logic to develop a general model representing several processes in a system's operation characterized by a degree of vagueness and/or uncertainty. For this, the main stages of the corresponding process are represented as fuzzy subsets of a set of linguistic labels characterizing the system's performance at each stage. We also introduce three alternative measures of a fuzzy system's effect iveness connected to our general model. These measures include the system's total possibilistic uncertainty, the Shannon's entropy properly modified for use in a fuzzy environment and the "centroid" method in which the coordinates of the center of mass of the graph of the membership function involved provide an alternative measure of the system's performance. The advantages and disadvantages of the above measures are discussed and a comb ined use of them is suggested for achieving a worthy of credit mathemat ical analysis of the corresponding situation. An application is also developed for the Mathematical Modelling process illustrating the use of our results in practice.

A Comparative Study of Finite Volume Method and Finite Difference Method for Convection-Diffusion Problem

Abstract: Now-a-days computational fluid mechanics has become very vital area in which obtained governing equations are differential equations. Sometimes, these governing equations cannot be easily solved by existing analytical methods. Due to this reason, we use various numerical techniques to find out approximate solution for such problems. Among these techniques, finite volume method is also being used for solving these governing equations here we are describing comparative study of Finite volume method and finite difference method.