Applied Mathematics-A Journal of Chinese Universities Series B最新文献_第6页

Poisson Distribution Results for ϑ-Spirallike Functions of Order γ γ阶ϑ-Spirallike函数的泊松分布结果

4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-09-20 DOI: 10.1007/s11766-022-4253-8

Şahsene Altınkaya

引用次数: 0

Unicyclic graphs with extremal Lanzhou index 具有极值兰州指数的单圈图

4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-09-20 DOI: 10.1007/s11766-022-3768-3

Qian-qian Liu, Qiu-li Li, He-ping Zhang

{"title":"Unicyclic graphs with extremal Lanzhou index","authors":"Qian-qian Liu, Qiu-li Li, He-ping Zhang","doi":"10.1007/s11766-022-3768-3","DOIUrl":"10.1007/s11766-022-3768-3","url":null,"abstract":"<div>Very recently D. Vukičević et al. [8] introduced a new topological index for a molecular graph G named Lanzhou index as (Lzleft( G right) = sumnolimits_{u in Vleft( G right)} {overline {{d_u}} } d_u^2), where du and (overline {{d_u}} ) denote the degree of vertex u in G and in its complement respectively. Lanzhou index Lz(G) can be expressed as (n − 1)M1(G) − F (G), where M1(G) and F (G) denote the first Zagreb index and the forgotten index of G respectively, and n is the number of vertices in G. It turns out that Lanzhou index outperforms M1(G) and F(G) in predicting the logarithm of the octanol-water partition coefficient for octane and nonane isomers. It was shown that stars and balanced double stars are the minimal and maximal trees for Lanzhou index respectively. In this paper, we determine the unicyclic graphs and the unicyclic chemical graphs with the minimum and maximum Lanzhou indices separately.</div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 3","pages":"350 - 365"},"PeriodicalIF":0.0,"publicationDate":"2022-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43563707","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

Enhanced optimal delaunay triangulation methods with connectivity regularization 基于连通正则化的改进最优delaunay三角剖分方法

4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-09-20 DOI: 10.1007/s11766-022-4588-1

Yong-qing Hai, Yu-fei Guo, Mo Dong, Rong-li Zhao, Ke-wu Sun, Fei-fei Shang

{"title":"Enhanced optimal delaunay triangulation methods with connectivity regularization","authors":"Yong-qing Hai, Yu-fei Guo, Mo Dong, Rong-li Zhao, Ke-wu Sun, Fei-fei Shang","doi":"10.1007/s11766-022-4588-1","DOIUrl":"10.1007/s11766-022-4588-1","url":null,"abstract":"<div>In this paper, we study the underlying properties of optimal Delaunay triangulations (ODT) and propose enhanced ODT methods combined with connectivity regularization. Based on optimizing node positions and Delaunay triangulation iteratively, ODT methods are very effective in mesh improvement. This paper demonstrates that the energy function minimized by ODT is nonconvex and unsmooth, thus, ODT methods suffer the problem of falling into a local minimum inevitably. Unlike general ways that minimize the ODT energy function in terms of mathematics directly, we take an outflanking strategy combining ODT methods with connectivity regularization for this issue. Connectivity regularization reduces the number of irregular nodes by basic topological operations, which can be regarded as a perturbation to help ODT methods jump out of a poor local minimum. Although the enhanced ODT methods cannot guarantee to obtain a global minimum, it starts a new viewpoint of minimizing ODT energy which uses topological operations but mathematical methods. And in terms of practical effect, several experimental results illustrate the enhanced ODT methods are capable of improving the mesh furtherly compared to general ODT methods.</div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 3","pages":"453 - 469"},"PeriodicalIF":0.0,"publicationDate":"2022-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44553628","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

MHD stagnation point flow of nanofluid with SWCNT and MWCNT over a stretching surface driven by Arrhenius kinetics 由Arrhenius动力学驱动的纳米流体与swcnts和MWCNT在拉伸表面上的MHD滞止点流动

4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-09-20 DOI: 10.1007/s11766-022-3966-z

Sohail Nadeem, Shafiq Ahmad, Alibek Issakhov, Ibrahim M. Alarifi

{"title":"MHD stagnation point flow of nanofluid with SWCNT and MWCNT over a stretching surface driven by Arrhenius kinetics","authors":"Sohail Nadeem, Shafiq Ahmad, Alibek Issakhov, Ibrahim M. Alarifi","doi":"10.1007/s11766-022-3966-z","DOIUrl":"10.1007/s11766-022-3966-z","url":null,"abstract":"<div>The intention of the current research is to address the conclusion of non-isothermal heterogeneous reaction on the stagnation — point flow of SWCNT — engine oil and MWCNT — engine oil nanofluid over a shrinking/stretching sheet. Further, exemplify the aspect of heat and mass transfer the upshot of magnetohydrodynamics (MHD), thermal radiation, and heat generation/absorption coefficient are exemplified. The bvp4c from Matlab is pledged to acquire the numerical explanation of the problem that contains nonlinear system of ordinary differential equations (ODE). The impacts of miscellaneous important parameters on axial velocity, temperature field, concentration profile, skin friction coefficient, and local Nusselt number, are deliberated through graphical and numerically erected tabulated values. The solid volume fraction diminishes the velocity distribution while enhancing the temperature distribution. Further, the rate of shear stress declines with increasing the magnetic and stretching parameter for both SWCNT and MWCNT.</div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 3","pages":"366 - 382"},"PeriodicalIF":0.0,"publicationDate":"2022-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47949167","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: 8

Asymptotic analysis of a nonlinear stochastic eco-epidemiological system with feedback control 具有反馈控制的非线性随机生态流行病学系统的渐近分析

4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-09-20 DOI: 10.1007/s11766-022-3631-6

Sheng-qiang Zhang, Xin-zhu Meng

引用次数: 0

The convergence rate and necessary-and-sufficient condition for the consistency of isogeometric collocation method 等距配置法的收敛速度及一致性的充要条件

4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-06-16 DOI: 10.1007/s11766-022-4587-2

Hong-wei Lin, Yun-yang Xiong, Hui Hu, Jia-cong Yan, Qian-qian Hu

引用次数: 1

Modified approximation and error estimation for King’s type (p, q)-BBH operators King型(p, q)-BBH算子的改进逼近和误差估计

4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-06-16 DOI: 10.1007/s11766-022-4105-6

M. Mursaleen, Mohd. Ahasan, Asif Khan

引用次数: 0

Nearly nonstationary processes under infinite variance GARCH noises 无穷方差GARCH噪声下的近非平稳过程

4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-06-16 DOI: 10.1007/s11766-022-4442-5

Rong-mao Zhang, Qi-meng Liu, Jian-hua Shi

{"title":"Nearly nonstationary processes under infinite variance GARCH noises","authors":"Rong-mao Zhang, Qi-meng Liu, Jian-hua Shi","doi":"10.1007/s11766-022-4442-5","DOIUrl":"10.1007/s11766-022-4442-5","url":null,"abstract":"<div>Let Yt be an autoregressive process with order one, i.e., Yt = μ + ϕnYt−1 + εt, where [εt] is a heavy tailed general GARCH noise with tail index α. Let ({{hat phi }_n}) be the least squares estimator (LSE) of ϕn For μ = 0 and α < 2, it is shown by Zhang and Ling (2015) that ({{hat phi }_n}) is inconsistent when Yt is stationary (i.e., ϕn ≡ ϕ < 1), however, Chan and Zhang (2010) showed that ({{hat phi }_n}) is still consistent with convergence rate n when Yt is a unit-root process (i.e., ϕn = 1) and [εt] is a GARCH(1, 1) noise. There is a gap between the stationary and nonstationary cases. In this paper, two important issues will be considered: (1) what about the nearly unit root case? (2) When can ϕ be estimated consistently by the LSE? We show that when ϕn = 1 − c/n, then ({{hat phi }_n}) converges to a functional of stable process with convergence rate n. Further, we show that if limn→∞kn(1 − ϕn) = c for a positive constant c, then ({k_n}({hat phi _n} - phi )) converges to a functional of two stable variables with tail index α/2, which means that ϕn can be estimated consistently only when kn → ∞.</div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 2","pages":"246 - 257"},"PeriodicalIF":0.0,"publicationDate":"2022-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-022-4442-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50032797","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Existence and uniqueness of S-asymptotically periodic α-mild solutions for neutral fractional delayed evolution equation 中立型分数阶延迟演化方程s -渐近周期α-温和解的存在唯一性

4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-06-16 DOI: 10.1007/s11766-022-4393-x

Mei Wei, Qiang Li

引用次数: 6

Ideal cotorsion pairs over one point extensions 一点扩展上的理想扭转对

4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-06-16 DOI: 10.1007/s11766-022-4375-z

Hai-yan Zhu, Ben-jun Du, Qi-kai Wang

引用次数: 0