Special Issues
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Scientific Computing and Its Application to Engineering Problems

Submission Deadline: 30 November 2025 (closed) View: 1564 Submit to Special Issue

Guest Editors

Professor Higinio Ramos, University of Salamanca, Spain
Dr. Chandru Muthusamy, Vellore Institute of Technology, India


Summary

The numerous applications of differential equations (including integer/fractional order) in various branches of Science and Engineering, such as diffusion, electrodynamics, control theory, structural engineering, biophysics, etc., make the study of differential equations an essential aspect of applicable mathematics. The modelling of many physical phenomena is done through differential equations, and all these models carry a great importance and appealing aspect of describing the physical world around us.

 

In nature, some challenging geometries, nonlinearities, and complex systems of equations are frequently encountered. Often, the analytical approach fails to deal with such complicated problems, which must be addressed using appropriate numerical techniques. High-order accuracy is a prominent research focus in numerical analysis of the differential equations. In order to achieve reliable solutions, particular strategies are required as well as robust algorithms with parallelization approaches in simulations in order to reduce computing time and cost.

 

From this point of view, this special issue will focus on the development of mathematical models from real-time physical phenomena, constructing robust higher-order numerical techniques for solving them in a broader sense and emphasizing real-time applications.

 

Key Topics:

 

● Numerical analysis for differential equations

● Scientific computing for dynamical systems

● Integer/fractional order differential equations

● Applications of differential equations

● Robust computational methods

● Bifurcation analysis and dynamical systems

● Control theory

● Nonlinear dynamics

● Fluid dynamics

● Water wave problems



Published Papers


  • Open Access

    ARTICLE

    Numerical Modelling of Oblique Wave Interaction with Dual Curved-LEG Pontoon Floating Breakwaters

    Jothika Palanisamy, Chandru Muthusamy, Higinio Ramos
    CMES-Computer Modeling in Engineering & Sciences, Vol.145, No.2, pp. 2017-2038, 2025, DOI:10.32604/cmes.2025.071958
    (This article belongs to the Special Issue: Scientific Computing and Its Application to Engineering Problems)
    Abstract This study investigates the performance of dual curved-leg pontoon floating breakwaters in finite water depth under the assumption of linear wave theory. The analysis is carried out for four different models of curved-leg geometries, which are combinations of convex and concave shapes. The models are classified as follows. Model-1: Seaside and leeside face concave, Model-2: Seaside and leeside face convex, Model-3: Seaside face convex and leeside face concave, and Model-4: Seaside face concave and leeside face convex. The Boundary Element Method is utilized in order to find a solution to the associated boundary value problem.… More >

  • Open Access

    ARTICLE

    Explicit ARL Computational for a Modified EWMA Control Chart in Autocorrelated Statistical Process Control Models

    Yadpirun Supharakonsakun, Yupaporn Areepong, Korakoch Silpakob
    CMES-Computer Modeling in Engineering & Sciences, Vol.145, No.1, pp. 699-720, 2025, DOI:10.32604/cmes.2025.067702
    (This article belongs to the Special Issue: Scientific Computing and Its Application to Engineering Problems)
    Abstract This study presents an innovative development of the exponentially weighted moving average (EWMA) control chart, explicitly adapted for the examination of time series data distinguished by seasonal autoregressive moving average behavior—SARMA(1,1)L under exponential white noise. Unlike previous works that rely on simplified models such as AR(1) or assume independence, this research derives for the first time an exact two-sided Average Run Length (ARL) formula for the Modified EWMA chart under SARMA(1,1)L conditions, using a mathematically rigorous Fredholm integral approach. The derived formulas are validated against numerical integral equation (NIE) solutions, showing strong agreement and significantly reduced More >

    Graphic Abstract

    Explicit ARL Computational for a Modified EWMA Control Chart in Autocorrelated Statistical Process Control Models

  • Open Access

    ARTICLE

    Multi-Kernel Bandwidth Based Maximum Correntropy Extended Kalman Filter for GPS Navigation

    Amita Biswal, Dah-Jing Jwo
    CMES-Computer Modeling in Engineering & Sciences, Vol.144, No.1, pp. 927-944, 2025, DOI:10.32604/cmes.2025.067299
    (This article belongs to the Special Issue: Scientific Computing and Its Application to Engineering Problems)
    Abstract The extended Kalman filter (EKF) is extensively applied in integrated navigation systems that combine the global navigation satellite system (GNSS) and strap-down inertial navigation system (SINS). However, the performance of the EKF can be severely impacted by non-Gaussian noise and measurement noise uncertainties, making it difficult to achieve optimal GNSS/INS integration. Dealing with non-Gaussian noise remains a significant challenge in filter development today. Therefore, the maximum correntropy criterion (MCC) is utilized in EKFs to manage heavy-tailed measurement noise. However, its capability to handle non-Gaussian process noise and unknown disturbances remains largely unexplored. In this paper,… More >

  • Open Access

    ARTICLE

    A Robust GNSS Navigation Filter Based on Maximum Correntropy Criterion with Variational Bayesian for Adaptivity

    Dah-Jing Jwo, Yi Chang, Ta-Shun Cho
    CMES-Computer Modeling in Engineering & Sciences, Vol.142, No.3, pp. 2771-2789, 2025, DOI:10.32604/cmes.2025.057825
    (This article belongs to the Special Issue: Scientific Computing and Its Application to Engineering Problems)
    Abstract In this paper, an advanced satellite navigation filter design, referred to as the Variational Bayesian Maximum Correntropy Extended Kalman Filter (VBMCEKF), is introduced to enhance robustness and adaptability in scenarios with non-Gaussian noise and heavy-tailed outliers. The proposed design modifies the extended Kalman filter (EKF) for the global navigation satellite system (GNSS), integrating the maximum correntropy criterion (MCC) and the variational Bayesian (VB) method. This adaptive algorithm effectively reduces non-line-of-sight (NLOS) reception contamination and improves estimation accuracy, particularly in time-varying GNSS measurements. Experimental results show that the proposed method significantly outperforms conventional approaches in estimation More >

  • Open Access

    ARTICLE

    Impact of Pollutant Concentration and Particle Deposition on the Radiative Flow of Casson-Micropolar Fluid between Parallel Plates

    Ghaliah Alhamzi, Badr Saad T. Alkahtani, Ravi Shanker Dubey, Vinutha Kalleshachar, Neelima Nizampatnam
    CMES-Computer Modeling in Engineering & Sciences, Vol.142, No.1, pp. 665-690, 2025, DOI:10.32604/cmes.2024.055500
    (This article belongs to the Special Issue: Scientific Computing and Its Application to Engineering Problems)
    Abstract Assessing the behaviour and concentration of waste pollutants deposited between two parallel plates is essential for effective environmental management. Determining the effectiveness of treatment methods in reducing pollution scales is made easier by analysing waste discharge concentrations. The waste discharge concentration analysis is useful for assessing how effectively wastewater treatment techniques reduce pollution levels. This study aims to explore the Casson micropolar fluid flow through two parallel plates with the influence of pollutant concentration and thermophoretic particle deposition. To explore the mass and heat transport features, thermophoretic particle deposition and thermal radiation are considered. The… More >

  • Open Access

    ARTICLE

    A New Isogeometric Finite Element Method for Analyzing Structures

    Pan Su, Jiaxing Chen, Ronggang Yang, Jiawei Xiang
    CMES-Computer Modeling in Engineering & Sciences, Vol.141, No.2, pp. 1883-1905, 2024, DOI:10.32604/cmes.2024.055942
    (This article belongs to the Special Issue: Scientific Computing and Its Application to Engineering Problems)
    Abstract High-performance finite element research has always been a major focus of finite element method studies. This article introduces isogeometric analysis into the finite element method and proposes a new isogeometric finite element method. Firstly, the physical field is approximated by uniform B-spline interpolation, while geometry is represented by non-uniform rational B-spline interpolation. By introducing a transformation matrix, elements of types C0 and C1 are constructed in the isogeometric finite element method. Subsequently, the corresponding calculation formats for one-dimensional bars, beams, and two-dimensional linear elasticity in the isogeometric finite element method are derived through variational principles and… More >

  • Open Access

    ARTICLE

    Numerical Simulation and Parallel Computing of Acoustic Wave Equation in Isotropic-Heterogeneous Media

    Arshyn Altybay, Niyaz Tokmagambetov
    CMES-Computer Modeling in Engineering & Sciences, Vol.141, No.2, pp. 1867-1881, 2024, DOI:10.32604/cmes.2024.054892
    (This article belongs to the Special Issue: Scientific Computing and Its Application to Engineering Problems)
    Abstract In this paper, we consider the numerical implementation of the 2D wave equation in isotropic-heterogeneous media. The stability analysis of the scheme using the von Neumann stability method has been studied. We conducted a study on modeling the propagation of acoustic waves in a heterogeneous medium and performed numerical simulations in various heterogeneous media at different time steps. Developed parallel code using Compute Unified Device Architecture (CUDA) technology and tested on domains of various sizes. Performance analysis showed that our parallel approach showed significant speedup compared to sequential code on the Central Processing Unit (CPU). More >

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