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  1. The Coupled Model for Surface Modification of Titanium Nickelide

    Abstract

    In this paper, a coupled model of coating modification placed on a substrate is proposed. The model takes into account the different channels...

    O. N. Kryukova, A. G. Knyazeva in Lobachevskii Journal of Mathematics
    Article 01 June 2023
  2. A Coupled Statistical and Deterministic Model for Forecasting Climate-Driven Dengue Incidence in Selangor, Malaysia

    The mosquito-borne dengue virus remains a major public health concern in Malaysia. Despite various control efforts and measures introduced by the...

    **nyi Lu, Su Yean Teh, ... Chai Jian Tay in Bulletin of Mathematical Biology
    Article 28 May 2024
  3. Padé-type high-order absorbing boundary condition for a coupled hydrodynamic wave model with surface tension effect

    This paper addresses the design and validation of High-Order Absorbing Boundary Conditions (HABC) of the Padé family on a Coupled Hydrodynamic Wave...

    Article 04 January 2024
  4. Numerical Simulation of an idealized coupled Ocean-Atmosphere Climate Model

    We present numerical simulations for an idealized coupled oceanatmosphere climate model. Our climate model [2] belongs to the class of intermediate...
    Chapter 2023
  5. Physics-preserving enriched Galerkin method for a fully-coupled thermo-poroelasticity model

    This paper proposes a new numerical method for a fully-coupled, quasi-static thermo-poroelasticity model in a unified enriched Galerkin (EG) method...

    Son-Young Yi, Sanghyun Lee in Numerische Mathematik
    Article 03 May 2024
  6. Stochastic dynamics of an SIR model for respiratory diseases coupled air pollutant concentration changes

    Industrial development has made air pollution increasingly severe, and many respiratory diseases are closely related to air quality in terms of...

    Sha He, Yi** Tan, Weiming Wang in Advances in Continuous and Discrete Models
    Article Open access 27 May 2024
  7. Efficient fully-decoupled and fully-discrete explicit-IEQ numerical algorithm for the two-phase incompressible flow-coupled Cahn-Hilliard phase-field model

    In this paper, an efficient fully-decoupled and fully-discrete numerical scheme with second-order temporal accuracy is developed to solve the...

    Chuanjun Chen, **aofeng Yang in Science China Mathematics
    Article 17 November 2023
  8. Strongly coupled spiking networks

    In Chap.  6 , we explored how collective behaviour, such as synchronous network oscillations and phase...
    Stephen Coombes, Kyle C. A. Wedgwood in Neurodynamics
    Chapter 2023
  9. The fast method and convergence analysis of the fractional magnetohydrodynamic coupled flow and heat transfer model for the generalized second-grade fluid

    In this paper, we first establish a new fractional magnetohydrodynamic (MHD) coupled flow and heat transfer model for a generalized second-grade...

    **aoqing Chi, Hui Zhang, **aoyun Jiang in Science China Mathematics
    Article 19 June 2023
  10. Fully Discrete Discontinuous Galerkin Numerical Scheme with Second-Order Temporal Accuracy for the Hydrodynamically Coupled Lipid Vesicle Model

    In this paper, for the highly nonlinear hydrodynamically coupled elastic bending energy model of vesicle membranes, based on the discontinuous...

    Guang-an Zou, Zhaohua Li, **aofeng Yang in Journal of Scientific Computing
    Article 15 February 2023
  11. On a Coupled System of Nonlinear Generalized Fractional Differential Equations with Nonlocal Coupled Riemann–Stieltjes Boundary Conditions

    In this paper, we study a new class of coupled systems of nonlinear generalized fractional differential equations complemented with coupled nonlocal...

    Bashir Ahmad, Ahmed Alsaedi, Areej S. Aljahdali in Qualitative Theory of Dynamical Systems
    Article 12 June 2024
  12. Small-Time Solvability of the Primitive Equations for the Coupled Atmosphere and Ocean Model

    In this paper, we analyze the two-phase free boundary problem of primitive equations for the coupled atmosphere and ocean in three-dimensional strip...

    Hirotada Honda, Atusi Tani in Acta Applicandae Mathematicae
    Article 01 March 2023
  13. Travelling Waves in a PDE–ODE Coupled Model of Cellulolytic Biofilms with Nonlinear Diffusion

    We analyze travelling wave (TW) solutions for nonlinear systems consisting of an ODE coupled to a degenerate PDE with a diffusion coefficient that...

    K. Mitra, J. M. Hughes, ... J. D. Dockery in Journal of Dynamics and Differential Equations
    Article Open access 18 January 2023
  14. Chaos and Hyperchaos in Two Coupled Identical Hindmarsh – Rose Systems

    The dynamics of two coupled neuron models, the Hindmarsh – Rose systems, are studied. Their interaction is simulated via a chemical coupling that is...

    Nataliya V. Stankevich, Andrey A. Bobrovskii, Natalya A. Shchegoleva in Regular and Chaotic Dynamics
    Article 19 December 2023
  15. Perturbing Coupled Multivariable Systems

    All populations in nature experience different types of external perturbations that regulate their abundance and dynamics. These can range from...
    Chapter 2023
  16. A Coupled Model of Controlled Synthesis, of a Composite on a Substrate

    Abstract

    A mathematical model of the process of composite synthesis from a mixture of powders is formulated. It is assumed that the synthesis is...

    A. G. Knyazeva, O. N. Kryukova in Lobachevskii Journal of Mathematics
    Article 01 July 2022
  17. Splitting Methods for Linear Coupled Field-Circuit DAEs

    The application of operator splitting methods to ordinary differential equations (ODEs) is well established. However, for differential-algebraic...
    Malak Diab, Caren Tischendorf in Scientific Computing in Electrical Engineering
    Conference paper 2024
  18. Self-Consistent Model of Low Pressure Inductively Coupled RF Discharge

    A new approach has been modeled for the description of low-pressure inductively coupled RF discharge. Within the framework of the investigated model,...
    Viktor Zheltukhin, Aleksandr Shemakhin, ... Ekaterina Samsonova in Mesh Methods for Boundary-Value Problems and Applications
    Conference paper 2022
  19. Generalized Brinkman-Type Fluid Model and Coupled Heat Conductivity Problem

    Abstract

    A variant of the model of coupled thermohydrodynamics and heat balance is proposed. We use Sedov’s variational principle and develop (a...

    P. A. Belov, H. Altenbach, ... G. I. Kriven in Lobachevskii Journal of Mathematics
    Article 01 August 2021
  20. A New Local and Parallel Finite Element Method for the Coupled Stokes–Darcy Model

    In this paper, based on two-grid discretizations and superposition principle, a new local and parallel finite element method is presented and studied...

    Guangzhi Du, Liyun Zuo, Yuhong Zhang in Journal of Scientific Computing
    Article 10 December 2021
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