AIMS Mathematics最新文献_第4页

Double sequences with ideal convergence in fuzzy metric spaces 模糊度量空间中具有理想收敛性的二重序列

3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231437

Aykut Or

引用次数: 0

Adaptive predefined-time robust control for nonlinear time-delay systems with different power Hamiltonian functions 具有不同幂哈密顿函数的非线性时滞系统的自适应预定义时间鲁棒控制

3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231441

Shutong Liu, Renming Yang

引用次数: 0

An estimate for the numerical radius of the Hilbert space operators and a numerical radius inequality 希尔伯特空间算子的数值半径估计和数值半径不等式

3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231347

Mohammad H. M. Rashid, Feras Bani-Ahmad

{"title":"An estimate for the numerical radius of the Hilbert space operators and a numerical radius inequality","authors":"Mohammad H. M. Rashid, Feras Bani-Ahmad","doi":"10.3934/math.20231347","DOIUrl":"https://doi.org/10.3934/math.20231347","url":null,"abstract":"<abstract>We provide a number of sharp inequalities involving the usual operator norms of Hilbert space operators and powers of the numerical radii. Based on the traditional convexity inequalities for nonnegative real numbers and some generalize earlier numerical radius inequalities, operator. Precisely, we prove that if $ {bf A}_i, {bf B}_i, {bf X}_iin mathcal{B}(mathcal{H}) $ ($ i = 1, 2, cdots, n $), $ min mathbb N $, $ p, q &gt; 1 $ with $ frac{1}{p}+frac{1}{q} = 1 $ and $ phi $ and $ psi $ are non-negative functions on $ [0, infty) $ which are continuous such that $ phi(t)psi(t) = t $ for all $ t in [0, infty) $, then <disp-formula> <label/> <tex-math id=\"FE1\"> begin{document}$ begin{equation*} w^{2r}left({sumlimits_{i = 1}^{n} {bf X}_i {bf A}_i^m {bf B}_i}right)leq frac{n^{2r-1}}{m}sumlimits_{j = 1}^{m}leftVert{sumlimits_{i = 1}^{n}frac{1}{p}S_{i, j}^{pr}+frac{1}{q}T_{i, j}^{qr}}rightVert-r_0inflimits_{leftVert{xi}rightVert = 1}rho(xi), end{equation*} $end{document} </tex-math></disp-formula> where $ r_0 = min{frac{1}{p}, frac{1}{q}} $, $ S_{i, j} = {bf X}_iphi^2left({leftvert{ {bf A}_i^{j*}}rightvert}right) {bf X}_i^* $, $ T_{i, j} = left({ {bf A}_i^{m-j} {bf B}_i}right)^*psi^2left({leftvert{ {bf A}_i^j}rightvert}right) {bf A}_i^{m-j} {bf B}_i $ and <disp-formula> <label/> <tex-math id=\"FE2\"> begin{document}$ rho(xi) = frac{n^{2r-1}}{m}sumlimits_{j = 1}^{m}sumlimits_{i = 1}^{n}left({left&lt;{S_{i, j}^rxi, xi}right&gt;^{frac{p}{2}}-left&lt;{T_{i, j}^rxi, xi}right&gt;^{frac{q}{2}}}right)^2. $end{document} </tex-math></disp-formula> </abstract>","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135496215","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

Symmetric $ n $-derivations on prime ideals with applications 素数理想上的对称n -导数及其应用

3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231410

Shakir Ali, Amal S. Alali, Sharifah K. Said Husain, Vaishali Varshney

引用次数: 1

A quaternion Sylvester equation solver through noise-resilient zeroing neural networks with application to control the SFM chaotic system 基于噪声弹性归零神经网络的四元数Sylvester方程求解器在SFM混沌系统控制中的应用

3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231401

Sondess B. Aoun, Nabil Derbel, Houssem Jerbi, Theodore E. Simos, Spyridon D. Mourtas, Vasilios N. Katsikis

引用次数: 0

Global existence and energy decay for a transmission problem under a boundary fractional derivative type 一类边界分数阶导数型传输问题的整体存在性和能量衰减

3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231412

Noureddine Bahri, Abderrahmane Beniani, Abdelkader Braik, Svetlin G. Georgiev, Zayd Hajjej, Khaled Zennir

引用次数: 1

Lagrange radial basis function collocation method for boundary value problems in $ 1 $D 边值问题的拉格朗日径向基函数配置方法

3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231409

Kawther Al Arfaj, Jeremy Levesly

{"title":"Lagrange radial basis function collocation method for boundary value problems in $ 1 $D","authors":"Kawther Al Arfaj, Jeremy Levesly","doi":"10.3934/math.20231409","DOIUrl":"https://doi.org/10.3934/math.20231409","url":null,"abstract":"<abstract>This paper introduces the Lagrange collocation method with radial basis functions (LRBF) as a novel approach to solving 1D partial differential equations. Our method addresses the trade-off principle, which is a key challenge in standard RBF collocation methods, by maintaining the accuracy and convergence of the numerical solution, while improving the stability and efficiency. We prove the existence and uniqueness of the numerical solution for specific differential operators, such as the Laplacian operator, and for positive definite RBFs. Additionally, we introduce a perturbation into the main matrix, thereby developing the perturbed LRBF method (PLRBF); this allows for the application of Cholesky decomposition, which significantly reduces the condition number of the matrix to its square root, resulting in the CPLRBF method. In return, this enables us to choose a large value for the shape parameter without compromising stability and accuracy, provided that the perturbation is carefully selected. By doing so, highly accurate solutions can be achieved at an early level, significantly reducing central processing unit (CPU) time. Furthermore, to overcome stagnation issues in the RBF collocation method, we combine LRBF and CPLRBF with multilevel techniques and obtain the Multilevel PLRBF (MuCPLRBF) technique. We illustrate the stability, accuracy, convergence, and efficiency of the presented methods in numerical experiments with a 1D Poisson equation. Although our approach is presented for 1D, we expect to be able to extend it to higher dimensions in future work.</abstract>","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135801093","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

A new family of hybrid three-term conjugate gradient method for unconstrained optimization with application to image restoration and portfolio selection 一种新的混合三项共轭梯度无约束优化方法及其在图像恢复和组合选择中的应用

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.2023001

M. Malik, I. Sulaiman, A. Abubakar, Gianinna Ardaneswari, Sukono

引用次数: 9

Energy analysis of the ADI-FDTD method with fourth-order accuracy in time for Maxwell's equations 麦克斯韦方程组四阶精度时域有限差分法的能量分析

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.2023012

Li Zhang, Maohua Ran, Han Zhang

引用次数: 0

Significance of heat transfer for second-grade fuzzy hybrid nanofluid flow over a stretching/shrinking Riga wedge 二级模糊混合纳米流体在拉伸/收缩Riga楔上流动的传热意义

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.2023014

I. Siddique, Yasir Khan, Muhammad Nadeem, J. Awrejcewicz, M. Bilal

{"title":"Significance of heat transfer for second-grade fuzzy hybrid nanofluid flow over a stretching/shrinking Riga wedge","authors":"I. Siddique, Yasir Khan, Muhammad Nadeem, J. Awrejcewicz, M. Bilal","doi":"10.3934/math.2023014","DOIUrl":"https://doi.org/10.3934/math.2023014","url":null,"abstract":"This investigation presents the fuzzy nanoparticle volume fraction on heat transfer of second-grade hybrid $ {text{A}}{{text{l}}_{text{2}}}{{text{O}}_{text{3}}}{text{ + Cu/EO}} $ nanofluid over a stretching/shrinking Riga wedge under the contribution of heat source, stagnation point, and nonlinear thermal radiation. Also, this inquiry includes flow simulations using modified Hartmann number, boundary wall slip and heat convective boundary condition. Engine oil is used as the host fluid and two distinct nanomaterials ($ {text{Cu}} $ and $ {text{A}}{{text{l}}_{text{2}}}{{text{O}}_{text{3}}} $) are used as nanoparticles. The associated nonlinear governing PDEs are intended to be reduced into ODEs using suitable transformations. After that 'bvp4c, ' a MATLAB technique is used to compute the solution of said problem. For validation, the current findings are consistent with those previously published. The temperature of the hybrid nanofluid rises significantly more quickly than the temperature of the second-grade fluid, for larger values of the wedge angle parameter, the volume percentage of nanomaterials. For improvements to the wedge angle and Hartmann parameter, the skin friction factor improves. Also, for the comparison of nanofluids and hybrid nanofluids through membership function (MF), the nanoparticle volume fraction is taken as a triangular fuzzy number (TFN) in this work. Membership function and $ sigma {text{ - cut}} $ are controlled TFN which ranges from 0 to 1. According to the fuzzy analysis, the hybrid nanofluid gives a more heat transfer rate as compared to nanofluids. Heat transfer and boundary layer flow at wedges have recently received a lot of attention due to several metallurgical and engineering physical applications such as continuous casting, metal extrusion, wire drawing, plastic, hot rolling, crystal growing, fibreglass and paper manufacturing.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":"1 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70148408","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: 17