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
695 Views
23 Pages

A Data-Driven Framework for Flight Delay Propagation Forecasting During Extreme Weather

  • Jiuxia Guo,
  • Jingyuan Li,
  • Jiang Yuan,
  • Yungui Yang and
  • Zihao Ren

5 November 2025

Flight delays during extreme weather events exhibit spatio-temporal propagation and cascading effects, posing serious challenges to the resilience of aviation systems. Existing prediction approaches often neglect dynamic dependencies across flight ch...

  • Article
  • Open Access
227 Views
12 Pages

5 November 2025

This study examines the stability and instability of a Casson fluid in a horizontal porous medium with magnetic effect using linear and global theories. Both linear and nonlinear analyses are conducted using the normal modes. The study proves that th...

  • Feature Paper
  • Article
  • Open Access
289 Views
13 Pages

5 November 2025

The method of particular solutions (MPS) has been widely applied for solving various types of partial differential equations. In this paper, the space–time collocation technique is implemented using MPS with polynomial basis functions (MPS-PBF)...

  • Article
  • Open Access
375 Views
26 Pages

Expanding the Scope: Modified Fortescue Theory for Frequency Unbalance Resolution in Control Strategies

  • Karim Mansouri,
  • Brahim Metoui,
  • Cristian Nichita,
  • Amr Yousef and
  • Ezzeddine Touti

5 November 2025

To analyze unbalanced electrical systems, the mathematical technique “symmetrical components method” developed by Charles LeGeyt Fortescue in the early 20th century has been very successful in this field. By decomposing three-phase system...

  • Article
  • Open Access
677 Views
31 Pages

A Case Study of a Transportation Company Modeled as a Scheduling Problem

  • Cristina Tobar-Fernández,
  • Ana Dolores López-Sánchez and
  • Jesús Sánchez-Oro

5 November 2025

This case study tackles a real-world problem of a transportation company that is modeled as a scheduling optimization problem. The main goal of the considered problem is to schedule the maximum number of jobs that must be performed by vehicles over a...

  • Article
  • Open Access
436 Views
25 Pages

5 November 2025

While recent advances have successfully integrated neural networks with physical models to derive numerical solutions, there remains a compelling need to obtain exact analytical solutions. The ability to extract closed-form expressions from these mod...

  • Article
  • Open Access
429 Views
29 Pages

5 November 2025

This paper presents a detailed performance evaluation of a proposed Orthogonal Time Frequency Space (OTFS) system for Integrated Sensing and Communications (ISAC) in doubly dispersive wireless channels, characterized by both delay and Doppler spreads...

  • Feature Paper
  • Article
  • Open Access
324 Views
12 Pages

5 November 2025

This paper addresses the problem where optimizing a single production shop within a production chain may not improve the overall performance of the entire chain. To overcome this and synchronize the efficiency of each shop, methods are proposed to al...

  • Article
  • Open Access
453 Views
22 Pages

5 November 2025

Unmanned aerial vehicles (UAVs) are a promising technology for future sixth-generation (6G) wireless networks. They are airborne vehicles that act either as as flying relays or base stations (BS) to provide the line-of-sight (LOS) transmission, enabl...

  • Article
  • Open Access
309 Views
22 Pages

4 November 2025

Combination drug treatment plays a central role in addressing complex diseases by enhancing the therapeutic benefit while mitigating adverse effects. However, determining optimal dose levels remains challenging due to additive drug effects, competing...

of 22

Get Alerted

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

XFacebookLinkedIn
Mathematics - ISSN 2227-7390