Applied Mathematics on Science and Engineering

[ Volume-2(2025) & Issue-2 ]

Research Article

A Mathematical Model for the Spread of Monkeypox in Uganda: An SIR Model with Demographic Effects

  • By David Chepkonga, Amos Kipkorir Langat, Caroline Njue, John Mutinda Kamwele - 12 Sep 2025
  • Applied Mathematics on Science and Engineering, Volume : 2(2025), Issue: 2, Pages: 1 - 7
  • https://doi.org/10.65036/amse221
  • Received: 25.03.2025; Accepted: 17.08.2025; Published: 12.09.2025

Abstract: Monkeypox, a viral zoonotic disease caused by the monkeypox virus and primarily transmitted through close contact with infected animals and humans, poses a growing public health challenge, especially in endemic regions like Uganda. With its potential for human-tohu Read more

Research Article

Trajectory Planning in Complex Environments for Static and Moving Obstacles

  • By Kalyanasundaram Madhu - 13 Oct 2025
  • Applied Mathematics on Science and Engineering, Volume : 2(2025), Issue: 2, Pages: 8 - 15
  • https://doi.org/10.65036/amse222
  • Received: 20.07.2025; Accepted: 22.09.2025; Published: 13.10.2025

Abstract: This paper presents a piecewise-linear approach for motion planning in uncertain environments punctured with static and moving obstacles. In such environments robots may encounter obstacles with unknown sizes, shapes, and locations. The probability of a robot colli Read more

Research Article

The basins of attraction for optimal fourth-eighth order methods

  • By S. Parimala - 13 Oct 2025
  • Applied Mathematics on Science and Engineering, Volume : 2(2025), Issue: 2, Pages: 16 - 22
  • https://doi.org/10.65036/amse223
  • Received: 05.07.2025; Accepted: 20.09.2025; Published: 13.10.2025

Abstract: We developed a completely new, eighth- and fourth-order optimal approach for solving nonlinear equations in this study. With three function evaluations, the new methods’ convergence order is four; with four function evaluations, it is eight. Furthermore, according Read more

Editorial

Editorial Note: Applied Mathematics on Science and Engineering

  • By Kalyanasundaram Madhu - 13 Oct 2025
  • Applied Mathematics on Science and Engineering, Volume : 2(2025), Issue: 2, Pages: 23 - 23
  • https://doi.org/10.65036/amse224
  • Received: 05.10.2025; Accepted: 10.10.2025; Published: 13.10.2025

Mathematical modeling has become an indispensable tool in understanding and controlling the spread of infectious diseases. From classical compartmental models such as the SIR framework to advanced agent-based and stochastic approaches, mathematics provides a structured way to capture disease dyna Read more

Research Article

Optimal fourth order iterative method for solving nonlinear equation

  • By S. Parimala - 13 Oct 2025
  • Applied Mathematics on Science and Engineering, Volume : 2(2025), Issue: 2, Pages: 24 - 27
  • https://doi.org/10.65036/amse225
  • Received: 03.07.2025; Accepted: 18.09.2025; Published: 13.10.2025

Abstract: The principal objective of this work is to propose a fourth order scheme for solving a nonlinear equation. In terms of computational cost, per iteration, the fourth order method uses two evaluation of the function and one evaluation of first derivative. So the meth Read more

Research Article

Classification of Injury Risk Among Basketball Players: A Statistical Perspective

  • By Krishtina Baruah, Tanusree Deb Roy, Ruhiteswar Choudhury - 10 Nov 2025
  • Applied Mathematics on Science and Engineering, Volume : 2(2025), Issue: 2, Pages: 28 - 36
  • https://doi.org/10.65036/amse226
  • Received: 21.08.2025; Accepted: 20.10.2025; Published: 10.11.2025

Abstract: The principal objective of this work is to propose a fourth order scheme for solving a nonlinear equation. In terms of computational cost, per iteration, the fourth order method uses two evaluation of the function and one evaluation of first derivative. So the Read more

Review Article

Sierpinski-like carpets

  • By Thor Martinsen, Beny Neta, Maital Neta - 28 Nov 2025
  • Applied Mathematics on Science and Engineering, Volume : 2(2025), Issue: 2, Pages: 37 - 47
  • https://doi.org/10.65036/amse227
  • Received: 30.09.2025; Accepted: 10.11.2025; Published: 28.11.2025

Abstract: 

The Sierpinski carpet was developed as a two-dimension extension of the Cantor set. Here we discuss the artistic expression of such carpets along with the development of more visually pleasing Sierpi´nski-like carpets created by using the basi Read more

Research Article

A new variant of midpoint Newton’s method for solving nonlinear models

  • By Kalyanasundaram Madhu, Ogbereyivwe Oghovese - 11 Dec 2025
  • Applied Mathematics on Science and Engineering, Volume : 2(2025), Issue: 2, Pages: 48 - 54
  • https://doi.org/10.65036/amse228
  • Received: 01.11.2025; Accepted: 03.12.2025; Published: 11.12.2025

Abstract: Numerous real-world models in engineering and applied sciences frequently involve nonlinear equations that call for trustworthy numerical techniques to solve. Existing iterative methods are constantly being modified, and new ones are being introduced as computation Read more

Research Article

Five trigonometric addition laws on semigroups

  • By Youssef Aserrar, Elhoucien Elqorachi - 23 Dec 2025
  • Applied Mathematics on Science and Engineering, Volume : 2(2025), Issue: 2, Pages: 55 - 66
  • https://doi.org/10.65036/amse229
  • Received: 08.10.2025; Accepted: 15.12.2025; Published: 23.12.2025

Abstract:

In this paper, we determine the complex-valued solutions of the following functional equations:
g(xσ(y)) = g(x)g(y)+ f (x) f (y), x,y ∈ S,
f (xσ(y)) = f (x)g(y)+ f (y)g(x), x,y ∈ S,
f (xσ(y)) = f (x)g(y)+ f (y)g Read more