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Advances in continuous and discrete models最新文献

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The operational matrix of Chebyshev polynomials for solving pantograph-type Volterra integro-differential equations 求解受电弓型Volterra积分微分方程的Chebyshev多项式的运算矩阵
Q1 MATHEMATICS Pub Date : 2022-10-01 DOI: 10.1186/s13662-022-03729-1
Tianfu Ji, Jianhua Hou, Changqing Yang
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引用次数: 2
A fast-convolution based space–time Chebyshev spectral method for peridynamic models 基于快速卷积的时空切比雪夫谱方法研究周期动力学模型
Q1 MATHEMATICS Pub Date : 2022-09-06 DOI: 10.48550/arXiv.2209.02689
L. Lopez, S. F. Pellegrino
Peridynamics is a nonlocal generalization of continuum mechanics theory which addresses discontinuous problems without using partial derivatives and replacing them by an integral operator. As a consequence, it finds applications in the framework of the development and evolution of fractures and damages in elastic materials. In this paper we consider a one-dimensional nonlinear model of peridynamics and propose a suitable two-dimensional fast-convolution spectral method based on Chebyshev polynomials to solve the model. This choice allows us to gain the same accuracy both in space and time. We show the convergence of the method and perform several simulations to study the performance of the spectral scheme.
周期动力学是连续介质力学理论的非局部推广,它不使用偏导数和用积分算子代替偏导数来解决不连续问题。因此,它在弹性材料中断裂和损伤的发展和演变的框架中找到了应用。本文考虑一维非线性周期动力学模型,提出了一种基于切比雪夫多项式的二维快速卷积谱法来求解该模型。这种选择使我们能够在空间和时间上获得相同的精度。我们证明了该方法的收敛性,并进行了几个仿真来研究谱格式的性能。
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引用次数: 5
A time-splitting local meshfree approach for time-fractional anisotropic diffusion equation: application in image denoising 时间分数阶各向异性扩散方程的时间分裂局部无网格方法:在图像去噪中的应用
Q1 MATHEMATICS Pub Date : 2022-09-01 DOI: 10.1186/s13662-022-03728-2
Jalil Mazloum, B. Hadian Siahkal-Mahalle
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引用次数: 2
An inverse problem of fourth-order partial differential equation with nonlocal integral condition 具有非局部积分条件的四阶偏微分方程反问题
Q1 MATHEMATICS Pub Date : 2022-09-01 DOI: 10.1186/s13662-022-03727-3
M. Huntul, M. Abbas
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引用次数: 6
Bond-based peridynamics, a survey prospecting nonlocal theories of fluid-dynamics 基于键的周动力学,对非局部流体动力学理论的探索综述
Q1 MATHEMATICS Pub Date : 2022-07-13 DOI: 10.1186/s13662-022-03732-6
Nunzio Dimola, A. Coclite, G. Fanizza, T. Politi
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引用次数: 3
The nature of properly human mathematics 正确的人类数学的本质
Q1 MATHEMATICS Pub Date : 2022-07-02 DOI: 10.1186/s13662-023-03761-9
D. Ruelle
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引用次数: 0
An uncertain production-inventory problem with deteriorating items 一个不确定的生产库存问题与恶化的项目
Q1 MATHEMATICS Pub Date : 2022-05-23 DOI: 10.1186/s13662-022-03714-8
Jiayu Shen, Yueqiang Jin, Bing Liu, Ziqiang Lu, Xin Chen
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引用次数: 1
Observer-based event-triggered finite-time consensus for general linear leader-follower multi-agent systems 一般线性领导-随从多智能体系统的基于观测器的事件触发有限时间共识
Q1 MATHEMATICS Pub Date : 2022-05-12 DOI: 10.1186/s13662-022-03711-x
Yiping Luo, Jialong Pang
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引用次数: 1
An integral equation representation for American better-of option on two underlying assets 两种标的资产美式优价期权的积分方程表示
Q1 MATHEMATICS Pub Date : 2022-05-12 DOI: 10.1186/s13662-022-03713-9
Junkee Jeon, Geonwoo Kim
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引用次数: 2
Numerical investigation of fractional-order Kersten–Krasil’shchik coupled KdV–mKdV system with Atangana–Baleanu derivative 具有Atangana–Baleanu导数的分数阶Kersten–Krasil’schik耦合KdV–mKdV系统的数值研究
Q1 MATHEMATICS Pub Date : 2022-05-02 DOI: 10.1186/s13662-022-03709-5
Naveed H. Iqbal, T. Botmart, W. Mohammed, Akbar Ali
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引用次数: 15
期刊
Advances in continuous and discrete models
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