You are currently viewing a new version of our website. To view the old version click .

Mathematics, Volume 13, Issue 21

November-1 2025 - 214 articles

Cover Story: We introduce the Spatial Regime Conversion Method (SRCM), a novel hybrid framework for simulating reaction–diffusion systems that adaptively switches between stochastic and deterministic representations based on local concentrations. By combining discrete reaction-diffusion master equation dynamics with continuum partial differential equations, the SRCM avoids fixed spatial interfaces and captures essential stochastic features where needed, while maintaining computational efficiency. Validated across multiple test cases—including diffusion, morphogen gradient formation, and travelling waves—the SRCM offers a powerful and flexible tool for modelling spatially heterogeneous systems. View this paper
  • Issues are regarded as officially published after their release is announced to the table of contents alert mailing list .
  • You may sign up for email alerts to receive table of contents of newly released issues.
  • PDF is the official format for papers published in both, html and pdf forms. To view the papers in pdf format, click on the "PDF Full-text" link, and use the free Adobe Reader to open them.

Articles (214)

  • Article
  • Open Access
401 Views
26 Pages

A Bedbug Optimization-Based Machine Learning Framework for Software Fault Prediction

  • Bahman Arasteh,
  • Seyed Salar Sefati,
  • Eduard-Cristian Popovici,
  • Ibrahim Furkan Ince and
  • Farzad Kiani

4 November 2025

Predicting software faults and identifying defective modules is a significant challenge in developing reliable software products. Machine Learning (ML) approaches on the historical fault datasets are utilized to classify faulty software modules. The...

  • Article
  • Open Access
257 Views
24 Pages

The Design of a Rocket Angular Stabilization System Based on Stability and Performance Indices Using the Coefficient Method

  • Meirbek Moldabekov,
  • Alisher Aden,
  • Yerkin Orazaly,
  • Nuriya Zhumabekova and
  • Madi Kaliyev

4 November 2025

This paper proposes a coefficient-based method for designing a rocket angular stabilization system that yields an explicit, direct solution for determining the parameters of a PID control law from specified stability and performance indices. Lineariz...

  • Feature Paper
  • Article
  • Open Access
1,178 Views
19 Pages

4 November 2025

New AI technologies have empowered e-commerce personalized recommendation systems, many of which now leverage time-series forecasting to capture dynamic user preferences. However, buyers’ algorithm aversion hinders these systems from realizing...

  • Article
  • Open Access
1 Citations
294 Views
24 Pages

3 November 2025

The construction of self-dual and linear complementary dual (LCD) codes over finite rings, particularly over semi-local and local structures, is an active area of research due to their algebraic richness and applications in communications and cryptog...

  • Article
  • Open Access
289 Views
17 Pages

3 November 2025

In this paper, we prove that the Taylor expansions of analytic functions appearing in the linearization of quadratic maps at hyperbolic fixed points do not successfully approximate invariant manifolds, such as stable and unstable manifolds, when high...

  • Feature Paper
  • Article
  • Open Access
386 Views
34 Pages

A New Perspective on the Convergence of Mean-Based Methods for Nonlinear Equations

  • Alicia Cordero,
  • María Emilia Maldonado Machuca and
  • Juan R. Torregrosa

3 November 2025

Many problems in science, engineering, and economics require solving of nonlinear equations, often arising from attempts to model natural systems and predict their behavior. In this context, iterative methods provide an effective approach to approxim...

  • Article
  • Open Access
440 Views
18 Pages

3 November 2025

Nonlinear optimization (NLO) is widely applicable to model and solve decision problems arising in engineering, economic, financial, and scientific studies. Due to the general scope of NLO, optimization model difficulty varies substantially, requiring...

  • Feature Paper
  • Article
  • Open Access
203 Views
39 Pages

3 November 2025

In this paper, we study a hyperbolic–elliptic system with L1-initial data, which arises as a mathematical model for chemotaxis. In particular, after introducing the notion of entropy solutions in this setting, we prove results concerning the ex...

  • Article
  • Open Access
322 Views
19 Pages

Edge k-Product Cordial Labeling of Trees

  • Jenisha Jeganathan,
  • Maged Z. Youssef,
  • Jeya Daisy Kruz,
  • Jeyanthi Pon,
  • Wai-Chee Shiu and
  • Ibrahim Al-Dayel

3 November 2025

The concepts of k-product cordial labeling and edge product cordial labeling were introduced in 2012 and further explored by various researchers. Building on these ideas, we define a new concept called ‘edge k-product cordial labeling’ as...

of 22

Get Alerted

Add your email address to receive forthcoming issues of this journal.

XFacebookLinkedIn
Mathematics - ISSN 2227-7390