Mathematical Methods in the Applied Sciences最新文献_第7页

Sobolev‐type regularization method for the backward diffusion equation with fractional Laplacian and time‐dependent coefficient 具有分数拉普拉奇和随时间变化系数的后向扩散方程的索波列夫型正则化方法

IF 2.9 3区数学

Mathematical Methods in the Applied Sciences Pub Date : 2024-08-28 DOI: 10.1002/mma.10425

Tran Thi Khieu, Tra Quoc Khanh

引用次数: 0

Three minimal norm Hermitian solutions of the reduced biquaternion matrix equation EM+M˜F=G$$ EM+tilde{M}F=G $$ 还原双四元数矩阵方程 EM+M˜F=G$$ EM+tilde{M}F=G$$ 的三个最小规范赫米提解

IF 2.9 3区数学

Mathematical Methods in the Applied Sciences Pub Date : 2024-08-28 DOI: 10.1002/mma.10424

Sujia Han, Caiqin Song

引用次数: 0

Optimal control strategies for infectious diseases with consideration of behavioral dynamics 考虑行为动力学的传染病最佳控制策略

IF 2.9 3区数学

Mathematical Methods in the Applied Sciences Pub Date : 2024-08-28 DOI: 10.1002/mma.10388

Omar Forrest, Mo'tassem Al‐arydah

引用次数: 0

Oscillatory systems with two degrees of freedom and van der Pol coupling: Analytical approach 具有两个自由度和范德尔波尔耦合的振荡系统：分析方法

IF 2.9 3区数学

Mathematical Methods in the Applied Sciences Pub Date : 2024-08-28 DOI: 10.1002/mma.10446

Sinisa Kraljevic, Miodrag Zukovic, Livija Cveticanin

{"title":"Oscillatory systems with two degrees of freedom and van der Pol coupling: Analytical approach","authors":"Sinisa Kraljevic, Miodrag Zukovic, Livija Cveticanin","doi":"10.1002/mma.10446","DOIUrl":"https://doi.org/10.1002/mma.10446","url":null,"abstract":"In this paper steady‐state vibrations of the two‐degrees‐of‐freedom oscillatory systems with van der Pol coupling are investigated. The model is a system of two differential equations with weak nonlinearity. A new solving procedure based on D′Alembert's method and the method of time‐variable amplitude and phase is developed. The main advantage of the method in comparison to others is that it gives the solution of the system of two coupled weak nonlinear equations in the form that is simple to analyze, as it has the same form as the solution of the corresponding system of linear equations. In the paper two types of systems are considered: one, a two‐mass system with two degrees of freedom, and second, the one‐mass system with two degrees of freedom. The torsional vibrations of a two‐mass system and vibrations of a Jeffcott rotor with two‐degrees‐of‐freedom are analyzed. Analytically obtained results are numerically tested. It is obtained that the difference between analytic and numeric results is small and almost negligible. As the accuracy of the analytic solution is high, it is suitable for application in technics and engineering. Conclusions about steady‐state self‐sustainable oscillators, orbital, and limit cycle motions are given.","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142220066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On time‐fractional partial differential equations of time‐dependent piecewise constant order 论依赖时间的片常数阶时间分式偏微分方程

IF 2.9 3区数学

Mathematical Methods in the Applied Sciences Pub Date : 2024-08-27 DOI: 10.1002/mma.10439

Yavar Kian, Marián Slodička, Éric Soccorsi, Karel Van Bockstal

引用次数: 0

Integral inequalities of h‐superquadratic functions and their fractional perspective with applications h 超二次函数的积分不等式及其分式透视与应用

IF 2.9 3区数学

Mathematical Methods in the Applied Sciences Pub Date : 2024-08-27 DOI: 10.1002/mma.10418

Saad Ihsan Butt, Dawood Khan

引用次数: 0

Loading conditions for self‐organization in the BML model with stochastic direction choice 具有随机方向选择的 BML 模型中自组织的加载条件

IF 2.9 3区数学

Mathematical Methods in the Applied Sciences Pub Date : 2024-08-27 DOI: 10.1002/mma.10276

Marina V. Yashina, Alexander G. Tatashev

{"title":"Loading conditions for self‐organization in the BML model with stochastic direction choice","authors":"Marina V. Yashina, Alexander G. Tatashev","doi":"10.1002/mma.10276","DOIUrl":"https://doi.org/10.1002/mma.10276","url":null,"abstract":"A dynamical system is considered such that, in this system, particles move on a toroidal lattice of the dimension according to a version of the rule of particle movement in Biham–Middleton–Levine traffic model. We introduce a stochastic case with direction choice for particles. Particles of the first type move along rows, and the particles of the second type move along columns. The goal is to find conditions of self‐organization system for any lattice dimension. We have proved that the BML model as a dynamical system is a special case of Buslaev nets. This equivalence allows us to use of Buslaev net analysis techniques to investigate the BML model. In Buslaev nets conception, the self‐organization property of the system corresponds to the existence of velocity single point spectrum equal to 1. In the paper, we consider the model version when one notable aspect is that a particle may change its type. Exactly, we assume a constant probability that a particle changes type at each step. In the case where , the system corresponds to the classical version of the BML model. We define a state of the system where all particles continue to move indefinitely, in both the present and the future, as a state of free movement. A sufficient condition for the system to result in a state of free movement from any initial state (condition for self‐organization) has been found. This condition is that the number of particles be not greater than half the greatest common divisor of the numbers . It has been proved that, if , and whether or and there are both at least one particle of the first type and at least particle of the second type, then a necessary condition for a state of free movement to exist is the greatest common divisor of and be not less than 3. The theorems are formulated in terms of the algebraic structures and terms of the dynamical system. The spectrum of particle velocities has been found for the net . This approach allows us to hope that the spectrum of dynamical system can be studied for an arbitrary dimension of the net.","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142220094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Nesterov acceleration‐based iterative method for backward problem of distributed‐order time‐fractional diffusion equation 基于涅斯捷罗夫加速度的分布阶时间分数扩散方程后向问题迭代法

IF 2.9 3区数学

Mathematical Methods in the Applied Sciences Pub Date : 2024-08-27 DOI: 10.1002/mma.10415

Zhengqiang Zhang, Yuan‐Xiang Zhang, Shimin Guo

{"title":"Nesterov acceleration‐based iterative method for backward problem of distributed‐order time‐fractional diffusion equation","authors":"Zhengqiang Zhang, Yuan‐Xiang Zhang, Shimin Guo","doi":"10.1002/mma.10415","DOIUrl":"https://doi.org/10.1002/mma.10415","url":null,"abstract":"This paper is concerned with the inverse problem of determining the initial value of the distributed‐order time‐fractional diffusion equation from the final time observation data, which arises in some ultra‐slow diffusion phenomena in applied areas. Since the problem is ill‐posed, we propose an iterated regularization method based on the Nesterov acceleration strategy to deal with it. Convergence rates for the regularized approximation solution are given under both the a priori and a posteriori regularization parameter choice rules. It is shown that the proposed method can always yield the order optimal convergence rates as long as the iteration parameter which appears in the Nesterov acceleration strategy is chosen large enough. In numerical aspect, the main advantage of the proposed method lies in its simplicity. Specifically, due to the Nesterov acceleration strategy, only a few number of iteration steps are required to obtain the approximation solution, and at each iteration step, we only need to numerically solve the standard initial‐boundary value problem for the distributed‐order time‐fractional diffusion equation. Some numerical examples including one‐dimensional and two‐dimensional cases are presented to illustrate the validity and effectiveness of the proposed method.","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142220092","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Option pricing in a stochastic delay volatility model 随机延迟波动模型中的期权定价

IF 2.9 3区数学

Mathematical Methods in the Applied Sciences Pub Date : 2024-08-27 DOI: 10.1002/mma.10417

Álvaro Guinea Juliá, Raquel Caro‐Carretero

引用次数: 0

Asymptotic behavior of the two‐phase flow around the planar Couette flow in three‐dimensional space 三维空间平面库埃特流周围两相流的渐近行为

IF 2.9 3区数学

Mathematical Methods in the Applied Sciences Pub Date : 2024-08-27 DOI: 10.1002/mma.10423

Deyang Zhang, Houzhi Tang

引用次数: 0