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Mathematical and Computational Applications, Volume 30, Issue 4

August 2025 - 25 articles

Cover Story: This study evaluated the mEngel algorithm for non-absorbing Markov chains, comparing it with the power method and canonical decomposition. Unlike the original Engel algorithm, mEngel works for both absorbing and non-absorbing chains and provides process values like passing frequency, revealing firing states per configuration. It accurately calculated absorbing probabilities for Torrence’s problem and steady-state probabilities in Monopoly, focusing on jail rules. Strategies tested included long jail, short jail, and rolling doubles, using models of sizes 43 × 43, 41 × 41, and 123 × 123. The results align with the literature: short jail is preferred early for property acquisition, while late-game jail offers rent protection. Rewards per state and color group were calculated to determine players’ best strategies. View this paper
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Articles (25)

  • Article
  • Open Access
898 Views
19 Pages

A Novel Hybrid Attention-Based RoBERTa-BiLSTM Model for Cyberbullying Detection

  • Mohammed A. Mahdi,
  • Suliman Mohamed Fati,
  • Mohammed Gamal Ragab,
  • Mohamed A. G. Hazber,
  • Shahanawaj Ahamad,
  • Sawsan A. Saad and
  • Mohammed Al-Shalabi

The escalating scale and psychological harm of cyberbullying across digital platforms present a critical social challenge, demanding the urgent development of highly accurate and reliable automated detection systems. Standard fine-tuned transformer m...

  • Article
  • Open Access
699 Views
15 Pages

This paper investigates last-mile delivery and explores hybrid distributed computational models for routing and scheduling delivery services and assigning delivery-points to deliverymen over multiple time periods. The objective of these models is to...

  • Article
  • Open Access
504 Views
33 Pages

Statistical Modeling of Reliable Intervals for Solutions to Linear Transfer Problems Under Boundary Experimental Data

  • Olha Chernukha,
  • Petro Pukach,
  • Yurii Bilushchak,
  • Halyna Bilushchak and
  • Myroslava Vovk

A methodology for the statistical modeling of boundary value problems of mathematical physics for parabolic equations used to describe transport processes in a layer with incomplete data at the boundary of a body has been developed and presented. The...

  • Article
  • Open Access
471 Views
43 Pages

In this work, we present the procedure to obtain exact spherical shape functions for finite element modeling applications, without resorting to any kind of approximation, for generic prismatic spherical elements and for the case of spherical six-node...

  • Feature Paper
  • Article
  • Open Access
496 Views
38 Pages

The Engel algorithm was created to solve chip-firing games and can be used to find the stationary distribution for absorbing Markov chains. Kaushal et al. developed a matlab-based version of the generalized Engel algorithm based on Engel’s prob...

  • Article
  • Open Access
1 Citations
572 Views
24 Pages

Computing Two Heuristic Shrinkage Penalized Deep Neural Network Approach

  • Mostafa Behzadi,
  • Saharuddin Bin Mohamad,
  • Mahdi Roozbeh,
  • Rossita Mohamad Yunus and
  • Nor Aishah Hamzah

Linear models are not always able to sufficiently capture the structure of a dataset. Sometimes, combining predictors in a non-parametric method, such as deep neural networks (DNNs), would yield a more flexible modeling of the response variables in t...

  • Article
  • Open Access
788 Views
18 Pages

This study is the first to investigate the performance of ultraviolet germicidal irradiation (UVGI) in underfloor air distribution (UFAD) systems. A simplified mathematical model is developed to predict airborne pathogen transport and inactivation by...

  • Article
  • Open Access
943 Views
17 Pages

Adaptive Filtered-x Least Mean Square Algorithm to Improve the Performance of Multi-Channel Noise Control Systems

  • Maha Yousif Hasan,
  • Ahmed Sabah Alaraji,
  • Amjad J. Humaidi and
  • Huthaifa Al-Khazraji

This paper proposes an optimized control filter (OCF) based on the Filtered-x Least Mean Square (FxLMS) algorithm for multi-channel active noise control (ANC) systems. The proposed OCF-McFxLMS algorithm delivers three key contributions. Firstly, even...

  • Article
  • Open Access
1,802 Views
44 Pages

Concrete mix design plays a pivotal role in ensuring the mechanical performance, durability, and sustainability of construction projects. However, the nonlinear interactions among the mix components challenge traditional approaches in predicting comp...

  • Article
  • Open Access
1,183 Views
23 Pages

This paper presents an advanced energy management system (EMS) for optimizing power distribution in a battery/ultracapacitor (UC) hybrid energy storage system (HESS) for electric vehicles (EVs). The proposed EMS accounts for all energy flow scenarios...

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Math. Comput. Appl. - ISSN 2297-8747Creative Common CC BY license