JournalTOCs

African Journal of Mathematics and Computer Science Research
Number of Followers: 8

This is an Open Access Journal

Open Access journal
ISSN (Print) 2006-9731
Published by Academic Journals

[33 journals]

Solving singular integral equations of the second kind using Chebyshev
polynomials
- Abstract: A numerical developed technique to solve Fredholm integral equation of the second kind with separable singular kernel is proposed. This technique relies on the truncated expansion functions of the kernels in the finite series of the weighted Chebyshev polynomials of first, second, third, and fourth kinds. Three numerical examples are presented for verification and validation of the developed...
  PubDate: Tue, 31 Oct 2023 00:00:00 +010
Euler-Maruyama method for solving first order uncertain stochastic
differential equations
- Abstract: Two forms of uncertainty are identified to be associated with dynamical systems, which are randomness and belief degree. The uncertain stochastic differential equation (USDE) is used to describe dynamical systems driven simultaneously by randomness and human uncertainty (belief degree). In this paper, the Euler-Maruyama method for solving USDEs is examined. The method is used to solve a stoc...
  PubDate: Mon, 31 Jul 2023 00:00:00 +010
Degree of vertices and number of edges in a mixed graph
- Abstract: In the study of a graph theory, degrees of vertices and number of edges are among the important theoretical terms that are helpful in showing discrete structures and their properties. This study attempts to present the relationship between number of edges and degrees of vertices in a mixed graph. Key words: Graph, directed graphs, undirected graphs, mixed graph, degree of vertex, number ...
  PubDate: Fri, 31 Mar 2023 00:00:00 +010
Curriculum development and evaluation: New dimensions to enriching
Mathematics Education in Nigeria
- Abstract: This paper makes a case for curriculum development and evaluation. It emphasized the new dimensions to enrich mathematics education in Nigeria. The paper therefore examined the meaning of curriculum. It highlighted issues involved in planning the mathematics education curriculum such as purpose of the curriculum, current knowledge level of students and materials. Also, it examined the practi...
  PubDate: Fri, 31 Mar 2023 00:00:00 +010
Notes on the order of convergence, consistency and stability properties of
newly derived schemes
- Abstract: In this paper, two numerical integration methods for solving Initial Value Problems (IVPs) in Ordinary Differential Equations (ODEs), namely Third Order One Step Scheme (TOOSS) and Second Order One Step Scheme (SOOSS) have been considered. The order of convergence, consistency and the stability properties of the schemes have been investigated. From the analyses, it is observed that SOOSS and...
  PubDate: Tue, 31 Jan 2023 00:00:00 +010
Division by zero in real and complex number arithmetic and some of its
implications
- Abstract: In this paper, an attempt is made to include division by zero in ordinary arithmetic. Counting or measuring is done to get the value of multiples, powers, quotients, sums and differences of zeros. Zero divided by zero is taken to be equal to one. There are many infinities and many zeroes. The biggest of all infinities cannot be imagined and the smallest zero cannot be imagined also. An attem...
  PubDate: Wed, 30 Nov 2022 00:00:00 +010
Moore-Penrose inverse of linear operators in Hilbert space
- Abstract: In this paper, we investigate properties of with closed range satisfying the operator equations In particular, we investigate the invertibility ofwith closed range where the Moore-Penrose inverse of T turns out to be the usual inverse of T under some classes of operators. We also deduce the Moore-Penrose inverse of a perturbed linear operator with closed range where such that has closed rang...
  PubDate: Wed, 30 Nov 2022 00:00:00 +010
Calculation of a class of Gaussian integrals: Derivation of payoff at
expiry for European option
- Abstract: This work deals with the calculation of a class of Gaussian integral of the form where Completing the squares of the exponential and changing variables led to the solution where denotes the cumulative standard normal distribution function. An equation which corresponds to pay-off at expiry for European option was derived. Key words: Gaussian integral, Euler-Poisson integral, multivariabl...
  PubDate: Thu, 31 Mar 2022 00:00:00 +010
A novel 2-character randomized response technique model applicable to real
life situations
- Abstract: In this paper, we propose a model for estimating population proportion of a personality possessing two related sensitive attributes in survey sampling by extending Warners Randomized Response Technique (RRT). The proposed estimators are more efficient than Lees simple model estimators as the population proportion escalates. Our proposed model performs better than Lees crossed model estimator...
  PubDate: Fri, 31 Dec 2021 00:00:00 +010
Convergences and numerical analysis of a contact problem with normal
compliance and unilateral constraint
- Abstract: This paper represents a continuation of a previous study on Analysis of a Sliding Frictional Contact Problem with Unilateral Constraint. This study considers a mathematical model which describes the equilibrium of an elastic body in frictional contact with a moving foundation. The contact is modeled with a multivalued normal compliance condition with unilateral constraints, associated to a s...
  PubDate: Wed, 30 Jun 2021 00:00:00 +010