Complete homogeneous symmetric functions of Gauss Fibonacci polynomials and bivariate Pell polynomials
OMS-Vol. 4 (2020), Issue 1, pp. 179 – 185 Open Access Full-Text PDF
Nabiha Saba, Ali Boussayoud
Abstract: In this paper, we introduce a symmetric function in order to derive a new generating functions of bivariate Pell Lucas polynomials. We define complete homogeneous symmetric functions and give generating functions for Gauss Fibonacci polynomials, Gauss Lucas polynomials, bivariate Fibonacci polynomials, bivariate Lucas polynomials, bivariate
Jacobsthal polynomials and bivariate Jacobsthal Lucas polynomials.
Jacobsthal polynomials and bivariate Jacobsthal Lucas polynomials.
Second mixed problem for an Euler-Poisson-Darboux equation with dirac potential
OMS-Vol. 4 (2020), Issue 1, pp. 174 – 178 Open Access Full-Text PDF
Kaman Mondobozi Lélén, Togneme Alowou-Egnim, Gbenouga N’gniamessan, Tcharie Kokou
Abstract: We establish the strong generalized solution of the second mixed problem for an Euler-Poisson-Darboux equation in which the free term has the form: \(\gamma(t) u(x_0,t_0)\) where \(u(x,t)\) is the unknown function sought at the point \((x_0,t_0).\)
Covering radius of repetition codes over \(F_{2}+vF_{2}+v^2F_2\) with \(v^3=1\)
OMS-Vol. 4 (2020), Issue 1, pp. 168 – 173 Open Access Full-Text PDF
Sarra Manseri, Jinquan Luo
Abstract: In this paper, the exact value of covering radius of unit repetition codes and the bounds of covering radius of zero-divisor repetition codes have been determined by using Lee weight over the finite ring \(F_{2}+vF_{2}+v^2F_2\). Moreover the covering radius of different block repetition codes have been also studied.
Conorms over anti fuzzy vector spaces
OMS-Vol. 4 (2020), Issue 1, pp. 158 – 167 Open Access Full-Text PDF
Rasul Rasuli
Abstract: In this work, by using \(t\)-conorm \(C\), we introduce anti fuzzy vector spaces and define sum, union, direct sum and normality of anti fuzzy vector spaces. We prove that sum, union, direct sum and normality of anti fuzzy vector spaces is also anti fuzzy vector space under \(t\)-conorm \(C.\) Moreover, we investigate linear transformations over anti fuzzy vector spaces (normal anti fuzzy vector spaces) under \(t\)-conorms and prove that image and pre image of them is also anti fuzzy vector space (normal anti fuzzy vector space) under \(t\)-conorms.
An algorithm for choosing best shape parameter for numerical solution of partial differential equation via inverse multiquadric radial basis function
OMS-Vol. 4 (2020), Issue 1, pp. 147 – 157 Open Access Full-Text PDF
Kazeem Issa, Sulaiman M. Hambali, Jafar Biazar
Abstract: Radial Basis Function (RBF) is a real valued function whose value rests only on the distance from some other points called a center, so that a linear combination of radial basis functions are typically used to approximate given functions or differential equations. Radial Basis Function (RBF) approximation has the ability to give an accurate approximation for large data sites which gives smooth solution for a given number of knots points; particularly, when the RBFs are scaled to the nearly flat and the shape parameter is chosen wisely. In this research work, an algorithm for solving partial differential equations is written and implemented on some selected problems, inverse multiquadric (IMQ) function was considered among other RBFs. Preference is given to the choice of shape parameter, which need to be wisely chosen. The strategy is written as an algorithm to perform number of interpolation experiments by changing the interval of the shape parameters and consequently select the best shape parameter that give small root means square error (RMSE). All the computational work has been done using Matlab. The interpolant for the selected problems and its corresponding root means square errors (RMSEs) are tabulated and plotted.
Mathematical model for measles disease with control on the susceptible and exposed compartments
OMA-Vol. 4 (2020), Issue 1, pp. 60 – 75 Open Access Full-Text PDF
Samuel O. Sowole, Abdullahi Ibrahim, Daouda Sangare, Ahmed O. Lukman
Abstract: In this paper, we develop a mathematical deterministic modeling approach to model measles disease by using the data pertinent to Nigeria. Control measure was introduced into the susceptible and exposed classes to study the prevalence and control of the measles disease. We established the existence and uniqueness of the solution to the model. From the simulation results, it was realized that the control introduced on the susceptible class; and exposed individuals at latent period play a significant role in controlling the disease. Furthermore, it is recognized that if more people in the susceptible class get immunization and the exposed people at latent period goes for treatment and therapy during this state before they become infective, the disease will be eradicated more quickly with time.
