Communications in Nonlinear Science and Numerical Simulation最新文献

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An Energy-Consistent Model of Persistent Adhesive Contact for Hyperelastic Materials: Theory, Discretization, and Applications 超弹性材料持久黏着接触的能量一致模型：理论、离散化和应用

IF 3.9 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2025-12-20 DOI: 10.1016/j.cnsns.2025.109604

Mikaël Barboteu, Francesco Bonaldi, Serge Dumont, Rawane Mansour

引用次数: 0

Synchronization of discrete-time tempered fractional-order fuzzy competitive neural networks with uncertain parameters and time-varying delays 具有不确定参数和时变时滞的离散时间调质分数阶模糊竞争神经网络的同步

IF 3.9 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2025-12-19 DOI: 10.1016/j.cnsns.2025.109603

Zhenjin Su, Hong-Li Li, Yong Wang, Yangquan Chen, Jinde Cao

引用次数: 0

Finite-time synchronization of Caputo fractional-order delayed multilayer memristive neural networks via a novel Razumikhin approach 基于Razumikhin方法的Caputo分数阶延迟多层记忆神经网络有限时间同步

IF 3.9 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2025-12-18 DOI: 10.1016/j.cnsns.2025.109600

Wenqi Zhang, Xiang Wu, Shutang Liu, Xiaofeng Ye, Yin Wang

引用次数: 0

Emergence of spike patterns in a vegetation model: A combined theoretical-numerical study 植被模式中穗状图案的出现：理论与数值相结合的研究

IF 3.9 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2025-12-17 DOI: 10.1016/j.cnsns.2025.109591

Song Gao, Hong-Tao Zhang, Gui-Quan Sun

引用次数: 0

Stability and convergence of implicit-explicit Runge-Kutta methods for the reaction-diffusion equation with random diffusion coefficient 具有随机扩散系数的反应扩散方程的隐显Runge-Kutta方法的稳定性和收敛性

IF 3.9 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2025-12-17 DOI: 10.1016/j.cnsns.2025.109602

Xian-Ming Gu, Chaoyu Quan, Qi Xin

引用次数: 0

A linear, decoupled and unconditionally stable scheme for the thermally coupled incompressible magnetohydrodynamic flow including Joule heating and dissipative heating 包含焦耳加热和耗散加热的热耦合不可压缩磁流体流的线性、解耦和无条件稳定格式

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2025-12-16 DOI: 10.1016/j.cnsns.2025.109597

Huimin Ma , Pengzhan Huang , Xiaoli Lu

A fully discrete scheme, which is linear, unconditionally stable and decoupled, is proposed and analyzed for the thermally coupled incompressible magnetohydrodynamic flow including Joule heating and dissipative heating. The main feature of the proposed scheme lies in the technique of augmenting specific stabilization in full discretization setting, which makes it possible to obtain unconditional stability. In addition, with the help of the idea of “zero energy contribution” and improving viscous separation, we further optimize the scheme to improve the computational efficiency and accuracy. Furthermore, we theoretically prove the unconditional stability of the numerical solution and establish error estimate of the velocity field, pressure, magnetic field and temperature in a completely discrete scheme. Numerically, in order to further show the effectiveness of the proposed scheme, some numerical experiments are carried out.

提出并分析了热耦合不可压缩磁流体流的线性、无条件稳定和解耦的全离散格式，包括焦耳加热和耗散加热。该方案的主要特点在于采用了在完全离散化条件下增加比稳定的技术，使其能够获得无条件稳定。此外，借助“零能量贡献”思想和改进粘性分离，进一步优化方案，提高计算效率和精度。此外，我们从理论上证明了数值解的无条件稳定性，并建立了完全离散格式下的速度场、压力场、磁场和温度的误差估计。在数值上，为了进一步证明所提方案的有效性，进行了一些数值实验。

引用次数: 0

Synchronization of fractional-order complex-valued T-S fuzzy reaction-diffusion neural networks with time delays and parameter uncertainties 具有时滞和参数不确定性的分数阶复值T-S模糊反应-扩散神经网络的同步

IF 3.9 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2025-12-13 DOI: 10.1016/j.cnsns.2025.109594

Conghui Wang, Hong-Li Li, Long Zhang, Cheng Hu, Jinde Cao

引用次数: 0

Superconvergence of the enriched rotated Q1 nonconforming finite element for the Stokes problem based on a cross-correction scheme 基于交叉校正格式的Stokes问题富旋转Q1非协调有限元的超收敛性

IF 3.9 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2025-12-13 DOI: 10.1016/j.cnsns.2025.109595

Mingxia Li, Shipeng Mao, Shangyou Zhang

In this paper, we study the superconvergence of the enriched rotated Q1 (EQ1rot) nonconforming finite element method for the Stokes problem on rectangular meshes. It is shown that there is no superclose result concerning the error between the finite element solution and the corresponding interpolation function. However, by introducing a cross correction scheme, i.e., correcting the velocity solution by the gradient of an interpolated pressure solution, a superclose result is proved. The corrected velocity solution is not only of a higher order accuracy but also of a higher order mass conservation. Then we can build a superconvergent rate of O(h2) for both the velocity and the pressure after a post-processing scheme. Furthermore, a local-lifting P2−Q1 solution of the EQ1rot nonconforming finite element solution yields a global second order convergence.

本文研究了矩形网格上Stokes问题的富旋转Q1 （EQ1rot）非协调有限元法的超收敛性。结果表明，有限元解与相应插值函数之间的误差不存在超接近结果。然而，通过引入交叉校正方案，即通过插值压力解的梯度校正速度解，证明了一个超接近的结果。修正后的速度解不仅具有高阶精度，而且具有高阶质量守恒。然后通过后处理方案建立速度和压力的超收敛速率O（h2）。此外，EQ1rot非协调有限元解的局部提升P2−Q1解产生了全局二阶收敛。

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引用次数: 0

Application of a Filippov model incorporating the Allee effect and proportional release of sterile mosquitoes for dengue mosquito population control 结合Allee效应和比例释放的Filippov模型在登革热蚊群控制中的应用

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2025-12-13 DOI: 10.1016/j.cnsns.2025.109590

Zhongyi Xiang, Xiong Zhang

In the prevention and control of mosquito-borne diseases such as malaria and dengue fever, the release of sterile mosquitoes through the Sterile Insect Technique (SIT) has been demonstrated to be a scientifically effective strategy. Inspired by this, the present study proposes a Filippov-type proportional-release sterile mosquito model that integrates SIT with the Allee effect, employing the ratio of two population densities as a threshold function. This approach aims to investigate the impact of threshold-based strategies on mosquito population control. The study derives conditions for the existence of sliding domains, sliding mode dynamics, and various types of equilibria. By rigorously excluding the existence of three different types of limit cycles, it is demonstrated that the system can exhibit phenomena of monostability, bistability, or even tristability coexistence. Furthermore, theoretical and numerical analyses of boundary node bifurcations and boundary focus bifurcations reveal that once parameters cross critical thresholds, stable positive equilibria will be replaced by stable pseudo-equilibria. Additionally, the influence of key parameters on the system’s dynamical behavior is investigated. Results indicate that adjusting the release coefficient and threshold to appropriate levels can enhance the effectiveness of wild mosquito control. This underscores the promise of integrating SIT with threshold-based control strategies to effectively suppress populations of disease-transmitting insects, while maintaining cost-efficiency.

在疟疾和登革热等蚊媒疾病的预防和控制中，利用昆虫不育技术释放不育蚊子已被证明是一种科学有效的策略。受此启发，本研究提出了一种结合SIT和Allee效应的filippov型比例释放不育蚊子模型，采用两种群密度之比作为阈值函数。本方法旨在探讨阈值策略对蚊虫种群控制的影响。研究得到了滑动域、滑模动力学和各种类型的平衡存在的条件。通过严格地排除三种不同类型极限环的存在，证明了系统可以表现出单稳定、双稳定甚至三稳定共存的现象。此外，对边界节点分岔和边界焦点分岔的理论和数值分析表明，一旦参数越过临界阈值，稳定的正平衡将被稳定的伪平衡所取代。此外，还研究了关键参数对系统动力学行为的影响。结果表明，适当调整释放系数和阈值可提高野蚊防制效果。这强调了将生物多样性技术与基于阈值的控制策略结合起来的前景，以有效地抑制传播疾病的昆虫种群，同时保持成本效益。

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引用次数: 0

A parallel Newton-linearized method with partition of unity for the Navier-Stokes problem with damping 具有阻尼的Navier-Stokes问题的一种具有单位分割的平行牛顿线性化方法

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2025-12-13 DOI: 10.1016/j.cnsns.2025.109596

Bo Zheng , Yueqiang Shang

This article first develops a parallel Newton-linearized method for solving the damped Navier-Stokes problem, where two levels of finite element meshes are demanded, and the resulting solutions are global discontinuity. After giving the local a priori estimate for finite element approximation, we rigorously analyze optimal H¹ velocity and L² pressure approximations for the parallel Newton-linearized method. Then, via combining the parallel Newton-linearized method with a partition of unity procedure for obtaining a globally continuous H¹ approximation and the backtracking technique for improving the L² velocity approximation, we design an efficient parallel Newton-linearized method with partition of unity, establish strictly optimal H¹ and L² velocity and L² pressure approximations, and provide some results of numerics to verify the promise of the parallel Newton-linearized methods.

本文首先提出了一种求解阻尼Navier-Stokes问题的并行牛顿线性化方法，该方法要求两层有限元网格，所得解是全局不连续的。在给出有限元近似的局部先验估计后，我们严格分析了平行牛顿线性化方法的最佳H1速度和L2压力近似。然后，将平行牛顿线性化方法与求全局连续H1近似的单位分割法和改进L2速度近似的回溯技术相结合，设计了一种高效的平行牛顿线性化方法，建立了严格最优的H1、L2速度和L2压力近似，并给出了一些数值结果来验证平行牛顿线性化方法的前景。

引用次数: 0

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