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East Asian Journal on Applied Mathematics最新文献

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Completion of the Guo-Hierarchy Integrable Coupling with Self-Consistent Sources in a Nonlinear Wave System 非线性波动系统中具有自洽源的Guo-Hierarchy可积耦合的完成
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.200121.190921
Han-yu Wei, En-Gui Fan null, W. Ma
{"title":"Completion of the Guo-Hierarchy Integrable Coupling with Self-Consistent Sources in a Nonlinear Wave System","authors":"Han-yu Wei, En-Gui Fan null, W. Ma","doi":"10.4208/eajam.200121.190921","DOIUrl":"https://doi.org/10.4208/eajam.200121.190921","url":null,"abstract":". Water waves are actively studied. A new method to generate new wave systems through making perturbation in matrix spectral problems for integrable couplings is presented, which is called the “completion process of integrable couplings”. As its ap-plication, we construct an integrable coupling hierarchy and show that each equation in the resulting hierarchy has a bi-Hamiltonian structure by taking use of the component-trace identity. Moreover, the self-consistent sources of integrable coupling is presented based on the theory of self-consistent sources.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47956028","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Global Existence and Asymptotic Behavior in a Predator-Prey-Mutualist Model with Prey-Taxis 具有捕食-滑行的捕食者-被捕食互斥模型的全局存在性和渐近性
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.220421.280921
Qian Zhao null, Bin Liu
{"title":"Global Existence and Asymptotic Behavior in a Predator-Prey-Mutualist Model with Prey-Taxis","authors":"Qian Zhao null, Bin Liu","doi":"10.4208/eajam.220421.280921","DOIUrl":"https://doi.org/10.4208/eajam.220421.280921","url":null,"abstract":". This paper considers the global existence and boundedness of classical solutions to a predator-prey-mutualist model with prey-taxis. In addition, by constructing the Lyapunov functionals, we proved when α < ( ac / b ) · r + a / b , the positive equilibrium point is globally asymptotic stable; and when α ∈ (( ac / b ) · r + a / b , M 1 ) , the semi-trivial equilibrium point is globally asymptotic stable. Finally, we give some numerical exam-ples to validate our results.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49506165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
The Dynamics of Suspended Rough Platelets in Shear Flows with Different Reynolds Numbers 不同雷诺数剪切流中悬浮粗糙血小板的动力学
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.300621.131221
Kai Liu, Q. Zou, Zhipeng Xu null, Z. Tan
{"title":"The Dynamics of Suspended Rough Platelets in Shear Flows with Different Reynolds Numbers","authors":"Kai Liu, Q. Zou, Zhipeng Xu null, Z. Tan","doi":"10.4208/eajam.300621.131221","DOIUrl":"https://doi.org/10.4208/eajam.300621.131221","url":null,"abstract":". The behaviour of platelet flows in plasma and the change of the platelet surfaces is studied by numerical simulations. In particular, the influence of the 2D platelets surface roughness and Reynolds number on the rotation of platelets is con-sidered. Reynolds numbers Re vary from 0.4 to 50 and it is noted that if Re = 50, the 2D platelets stop rotating after 90 ◦ turn. If 0.4 ≤ Re ≤ 20, the rotation period increases along with the increase of Reynolds number. The maximum angular velocity, the mini-mum angular velocity and the rotation period of platelets depends on their roughness. However, these characteristics are little affected by the roughness if the Reynolds number is close to 1. It is also worth noting that the torque of 3D platelets is greater than the torque of 2D platelets.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42108707","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Simulations of Cuff-Tissue-Bone-Artery Systems for Blood Pressure Measurements 用于血压测量的袖带-组织-骨动脉系统的模拟
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.020322.050422
Jiacheng Xu, Dan Hu
{"title":"Simulations of Cuff-Tissue-Bone-Artery Systems for Blood Pressure Measurements","authors":"Jiacheng Xu, Dan Hu","doi":"10.4208/eajam.020322.050422","DOIUrl":"https://doi.org/10.4208/eajam.020322.050422","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44999785","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Lie Symmetry Analysis and Wave Propagation in Variable-Coefficient Nonlinear Physical Phenomena 变系数非线性物理现象中的李氏对称分析与波传播
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.100920.060121
Mohamed R. Ali
{"title":"Lie Symmetry Analysis and Wave Propagation in Variable-Coefficient Nonlinear Physical Phenomena","authors":"Mohamed R. Ali","doi":"10.4208/eajam.100920.060121","DOIUrl":"https://doi.org/10.4208/eajam.100920.060121","url":null,"abstract":". We present Lie symmetry analysis to explore solitary wave solutions, two-soliton type solutions and three-soliton type solutions in variable-coefficient nonlinear physical phenomena. An example is a (2 + 1)-dimensional variable-coefficient Bogoyav-lensky-Konopelchenko (VCBK) equation. We compute the Lie algebra of infinitesimals of its symmetry vector fields and an optimal system of one-dimensional sub-Lie algebras of the resulting symmetries. Two stages of Lie symmetry reductions will be built to reduce the VCBK equation to nonlinear ordinary differential equations (ODEs) and new analytical solutions to those ODEs will be found by using the integration method. Some of such resulting solutions to the VCBK equation and their dynamics will be illustrated through three-dimensional plots","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":"1 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70517731","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 18
Numerical Study of Time-Fractional Telegraph Equations of Transmission Line Modeling 输电线路建模中时间-分数电报方程的数值研究
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.070921.150222
Wang Kong, Zhongyi Huang
{"title":"Numerical Study of Time-Fractional Telegraph Equations of Transmission Line Modeling","authors":"Wang Kong, Zhongyi Huang","doi":"10.4208/eajam.070921.150222","DOIUrl":"https://doi.org/10.4208/eajam.070921.150222","url":null,"abstract":". The stability and uniqueness of the solutions of time-fractional telegraph equations arising in the transmission line modeling are proved. The corresponding initial-boundary problems are then solved by a finite difference scheme. It is shown that the scheme is unconditionally stable and convergent. Computational efficiency of the method can be enhanced by transforming it into two finite volume schemes for solving two uncoupled time-fractional convection equations. Numerical experiments validate the theoretical results and show the efficiency of this approach even for the problems the solutions which are not smooth at the initial moment.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48445631","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Convex Splitting Method for Strongly Anisotropic Solid-State Dewetting Problems in Two Dimensions 二维强各向异性固体脱湿问题的凸分裂法
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.261021.120122
Miaoyu Dai, Zhongyi Huang, Wei Zhu
{"title":"Convex Splitting Method for Strongly Anisotropic Solid-State Dewetting Problems in Two Dimensions","authors":"Miaoyu Dai, Zhongyi Huang, Wei Zhu","doi":"10.4208/eajam.261021.120122","DOIUrl":"https://doi.org/10.4208/eajam.261021.120122","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44870057","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Analysis and Numerical Approximation for a Nonlinear Hidden-Memory Variable-Order Fractional Stochastic Differential Equation 一类非线性隐记忆变阶分数阶随机微分方程的分析与数值逼近
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.311021.220222
J. Jia, Zhiwei Yang, Xiangcheng Zheng null, Hong Wang
{"title":"Analysis and Numerical Approximation for a Nonlinear Hidden-Memory Variable-Order Fractional Stochastic Differential Equation","authors":"J. Jia, Zhiwei Yang, Xiangcheng Zheng null, Hong Wang","doi":"10.4208/eajam.311021.220222","DOIUrl":"https://doi.org/10.4208/eajam.311021.220222","url":null,"abstract":". We prove the wellposedness of a nonlinear hidden-memory variable-order fractional stochastic differential equation driven by a multiplicative white noise, in which the hidden-memory type variable order describes the memory of a fractional order. We then present a Euler-Maruyama scheme for the proposed model and prove its strong convergence rate. Numerical experiments are performed to substantiate the theoretical results.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45686387","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Two-Step Modulus-Based Synchronous Multisplitting Iteration Methods for Nonlinear Complementarity Problems 非线性互补问题的两步模同步多分裂迭代方法
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.200721.250122
Gui-Lin Yan, Yujiang Wu, Ai-Li Yang, Sulieman A. S. Jomah
{"title":"Two-Step Modulus-Based Synchronous Multisplitting Iteration Methods for Nonlinear Complementarity Problems","authors":"Gui-Lin Yan, Yujiang Wu, Ai-Li Yang, Sulieman A. S. Jomah","doi":"10.4208/eajam.200721.250122","DOIUrl":"https://doi.org/10.4208/eajam.200721.250122","url":null,"abstract":". Two-step modulus-based synchronous multisplitting and symmetric modulus-based synchronous multisplitting accelerated overrelaxation iteration methods are developed for solving large sparse nonlinear complementarity problems. The methods are based on the reformulation of the corresponding problem as a series of equivalent implicit fixed-point equations. This approach includes existing algorithms as special cases and present new models. The convergence of the methods is studied in the case of H + system matrices. Numerical results confirm the efficiency of the methods proposed.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":"15 9","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41290000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
A Deep Learning Method for Elliptic Hemivariational Inequalities 椭圆半变分不等式的一种深度学习方法
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.081121.161121
J. Huang, Chunmei Wang null, Haoqin Wang
{"title":"A Deep Learning Method for Elliptic Hemivariational Inequalities","authors":"J. Huang, Chunmei Wang null, Haoqin Wang","doi":"10.4208/eajam.081121.161121","DOIUrl":"https://doi.org/10.4208/eajam.081121.161121","url":null,"abstract":". Deep learning method for solving elliptic hemivariational inequalities is con-structed. Using a variational formulation of the corresponding inequality, we reduce it to an unconstrained expectation minimization problem and solve the last one by a stochas-tic optimization algorithm. The method is applied to a frictional bilateral contact problem and to a frictionless normal compliance contact problem. Numerical experiments show that for fine meshes, the method approximates the solution with accuracy similar to the virtual element method. Besides, the use of local adaptive activation functions improves accuracy and has almost the same computational cost.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43555621","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 2
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