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Applied Mathematics-A Journal of Chinese Universities Series B最新文献

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Symmetries and conservation laws associated with a hyperbolic mean curvature flow 与双曲平均曲率流相关的对称性和守恒定律
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-12-21 DOI: 10.1007/s11766-022-4311-2
Ben Gao, Qing-lian Yin
{"title":"Symmetries and conservation laws associated with a hyperbolic mean curvature flow","authors":"Ben Gao,&nbsp;Qing-lian Yin","doi":"10.1007/s11766-022-4311-2","DOIUrl":"10.1007/s11766-022-4311-2","url":null,"abstract":"<div><p>Under investigation in this paper is a hyperbolic mean curvature flow for convex evolving curves. Firstly, in view of Lie group analysis, infinitesimal generators, symmetry groups and an optimal system of symmetries of the considered hyperbolic mean curvature flow are presented. At the same time, some group invariant solutions are computed through reduced equations. In particular, we construct explicit solutions by applying the power series method. Furthermore, the convergence of the solutions of power series is certificated. Finally, conservation laws of the hyperbolic mean curvature flow are established via Ibragimov’s approach.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 4","pages":"583 - 597"},"PeriodicalIF":0.0,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-022-4311-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47366958","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
Fuzzy rough sets in Šostak sense Šostak意义上的模糊粗糙集
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-12-21 DOI: 10.1007/s11766-022-4100-y
Ismail Ibedou, S. E. Abbas
{"title":"Fuzzy rough sets in Šostak sense","authors":"Ismail Ibedou,&nbsp;S. E. Abbas","doi":"10.1007/s11766-022-4100-y","DOIUrl":"10.1007/s11766-022-4100-y","url":null,"abstract":"<div><p>In this paper, we defined the fuzzy operator Φ<sub>λ</sub> in a fuzzy ideal approximation space (<i>X, R</i>, <span>({cal I})</span>) associated with a fuzzy rough set λ in <i>Š</i>ostak sense. Associated with Φ<sub>λ</sub>, there are fuzzy ideal interior and closure operators int<span>\u0000 <sup>λ</sup><sub>Φ</sub>\u0000 \u0000 </span> and cl<span>\u0000 <sup>λ</sup><sub>Φ</sub>\u0000 \u0000 </span>, respectively. <i>r</i>-fuzzy separation axioms, <i>r</i>-fuzzy connectedness and <i>r</i>-fuzzy compactness in fuzzy ideal approximation spaces are defined and compared with the relative notions in <i>r</i>-fuzzy approximation spaces. There are many differences when studying these notions related with a fuzzy ideal different from studying these notions in usual fuzzy approximation spaces. Lastly, using a fuzzy grill, we will get the same results given during the context.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 4","pages":"563 - 582"},"PeriodicalIF":0.0,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46432943","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
Application of Bernstein polynomials for solving Fredholm integro-differential-difference equations Bernstein多项式在求解Fredholm积分微分差分方程中的应用
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-12-21 DOI: 10.1007/s11766-022-3620-9
Esmail Hesameddini, Mehdi Shahbazi
{"title":"Application of Bernstein polynomials for solving Fredholm integro-differential-difference equations","authors":"Esmail Hesameddini,&nbsp;Mehdi Shahbazi","doi":"10.1007/s11766-022-3620-9","DOIUrl":"10.1007/s11766-022-3620-9","url":null,"abstract":"<div><p>In this paper, the Bernstein polynomials method is proposed for the numerical solution of Fredholm integro-differential-difference equation with variable coefficients and mixed conditions. This method is using a simple computational manner to obtain a quite acceptable approximate solution. The main characteristic behind this method lies in the fact that, on the one hand, the problem will be reduced to a system of algebraic equations. On the other hand, the efficiency and accuracy of the Bernstein polynomials method for solving these equations are high. The existence and uniqueness of the solution have been proved. Moreover, an estimation of the error bound for this method will be shown by preparing some theorems. Finally, some numerical experiments are presented to show the excellent behavior and high accuracy of this algorithm in comparison with some other well-known methods.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 4","pages":"475 - 493"},"PeriodicalIF":0.0,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-022-3620-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46669886","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
Bootstrap inference of the skew-normal two-way classification random effects model with interaction 具有交互作用的偏斜正态双向分类随机效应模型的Bootstrap推理
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-09-20 DOI: 10.1007/s11766-022-4320-1
Ren-dao Ye, Na An, Kun Luo, Ya Lin
{"title":"Bootstrap inference of the skew-normal two-way classification random effects model with interaction","authors":"Ren-dao Ye,&nbsp;Na An,&nbsp;Kun Luo,&nbsp;Ya Lin","doi":"10.1007/s11766-022-4320-1","DOIUrl":"10.1007/s11766-022-4320-1","url":null,"abstract":"<div><p>In this paper, we consider the statistical inference problems for the fixed effect and variance component functions in the two-way classification random effects model with skew-normal errors. Firstly, the exact test statistic for the fixed effect is constructed. Secondly, using the Bootstrap approach and generalized approach, the one-sided hypothesis testing and interval estimation problems for the single variance component, the sum and ratio of variance components are discussed respectively. Further, the Monte Carlo simulation results indicate that the exact test statistic performs well in the one-sided hypothesis testing problem for the fixed effect. And the Bootstrap approach is better than the generalized approach in the one-sided hypothesis testing problems for variance component functions in most cases. Finally, the above approaches are applied to the real data examples of the consumer price index and value-added index of three industries to verify their rationality and effectiveness.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 3","pages":"435 - 452"},"PeriodicalIF":0.0,"publicationDate":"2022-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45916620","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 generalized Liouville’s formula 广义的刘维尔公式
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-09-20 DOI: 10.1007/s11766-022-3572-0
Wen-Xiu Ma, Xue-lin Yong, Zhen-yun Qin, Xiang Gu, Yuan Zhou
{"title":"A generalized Liouville’s formula","authors":"Wen-Xiu Ma,&nbsp;Xue-lin Yong,&nbsp;Zhen-yun Qin,&nbsp;Xiang Gu,&nbsp;Yuan Zhou","doi":"10.1007/s11766-022-3572-0","DOIUrl":"10.1007/s11766-022-3572-0","url":null,"abstract":"<div><p>A generalized Liouville’s formula is established for linear matrix differential equations involving left and right multiplications. Its special cases are used to determine the localness of characteristics of symmetries and solutions to Riemann-Hilbert problems in soltion theory.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 3","pages":"470 - 474"},"PeriodicalIF":0.0,"publicationDate":"2022-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-022-3572-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47100519","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: 9
Semi entropy of uncertain random variables and its application to portfolio selection 不确定随机变量的半熵及其在投资组合选择中的应用
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-09-20 DOI: 10.1007/s11766-022-4106-5
Jin-wu Gao, Hamed Ahmadzade, Mehran Farahikia
{"title":"Semi entropy of uncertain random variables and its application to portfolio selection","authors":"Jin-wu Gao,&nbsp;Hamed Ahmadzade,&nbsp;Mehran Farahikia","doi":"10.1007/s11766-022-4106-5","DOIUrl":"10.1007/s11766-022-4106-5","url":null,"abstract":"<div><p>Semi entropy is a measure to characterize the indeterminacy of the uncertain random variable considering the values of the uncertain random variable which are lower than the mean. As important roles of semi entropy in finance, this paper presents the concept of semi entropy for uncertain random variables. In order to compute semi entropy for uncertain random variables, Monte-Carlo approach is provided. As an application of semi entropy, portfolio selection problems are optimized based on mean-semi entropy mode.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 3","pages":"383 - 395"},"PeriodicalIF":0.0,"publicationDate":"2022-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-022-4106-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42961067","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: 2
On the grouping effect of the l1−2 models l1−2模型的分组效应
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-09-20 DOI: 10.1007/s11766-022-4256-5
Yi Shen, Wan-ling Guo, Rui-fang Hu
{"title":"On the grouping effect of the l1−2 models","authors":"Yi Shen,&nbsp;Wan-ling Guo,&nbsp;Rui-fang Hu","doi":"10.1007/s11766-022-4256-5","DOIUrl":"10.1007/s11766-022-4256-5","url":null,"abstract":"<div><p>This paper aims to study the mathematical properties of the <i>l</i><sub>1−2</sub> models that employ measurement matrices with correlated columns. We first show that the <i>l</i><sub>1−2</sub> model satisfies the grouping effect which ensures that coefficients corresponding to highly correlated columns in a measurement matrix have small differences. Then we provide the stability analysis based on the sparse approximation property. When the entries of the vectors have different signs, we show that the grouping effect also holds for the constraint <i>l</i><sub>1+2</sub> minimization model which is implicated by the linearized Bregman iteration.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 3","pages":"422 - 434"},"PeriodicalIF":0.0,"publicationDate":"2022-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-022-4256-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42246361","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
Modified integral equation combined with the decomposition method for time fractional differential equations with variable coefficients 改进的积分方程与变系数时间分数阶微分方程的分解方法相结合
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-09-20 DOI: 10.1007/s11766-022-4159-5
Muhammad Amin Sadiq Murad
{"title":"Modified integral equation combined with the decomposition method for time fractional differential equations with variable coefficients","authors":"Muhammad Amin Sadiq Murad","doi":"10.1007/s11766-022-4159-5","DOIUrl":"10.1007/s11766-022-4159-5","url":null,"abstract":"<div><p>In this paper, the modified integral equation, namely, Elzaki transformation coupled with the Adomian decomposition method called Elzaki Adomian decomposition method (EADM) is used to investigate the solution of time-fractional fourth-order parabolic partial differential equations (PDEs) with variable coefficients. The introduced method is used to solve two models of the proposed problem, the analytical and approximate solutions of the models are obtained. The outcomes illustrate that the proposed technique is a highly accurate, and facilitates the process of solving differential equations by comparing it, with the exact solution and those obtained by the variation iteration method (VIM) and Laplace homotopy perturbation method (LHPM).</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 3","pages":"404 - 414"},"PeriodicalIF":0.0,"publicationDate":"2022-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44361265","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: 7
Traveling wave for a time-periodic Lotka-Volterra model with bistable nonlinearity 具有双稳非线性的时间周期Lotka-Volterra模型的行波
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-09-20 DOI: 10.1007/s11766-022-4139-9
Jia-jun Yue, Man-jun Ma, Chun-hua Ou
{"title":"Traveling wave for a time-periodic Lotka-Volterra model with bistable nonlinearity","authors":"Jia-jun Yue,&nbsp;Man-jun Ma,&nbsp;Chun-hua Ou","doi":"10.1007/s11766-022-4139-9","DOIUrl":"10.1007/s11766-022-4139-9","url":null,"abstract":"<div><p>This paper studies bistable wavefronts of a diffusive time-periodic Lotka-Volterra system. We obtain a new condition for the existence, uniqueness and stability of bistable time-periodic traveling waves. This condition is sharp and greatly improves the result established in the reference (X. Bao and Z. Wang, Journal of Differential Equations, 255(2013) 2402–2435). An example is given to demonstrate our consequence.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 3","pages":"396 - 403"},"PeriodicalIF":0.0,"publicationDate":"2022-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49087396","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: 1
Inverting a k-heptadiagonal matrix based on Doolitle LU factorization 基于Doolitle LU分解的k-七对角矩阵的反演
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-09-20 DOI: 10.1007/s11766-022-3763-8
Maryam Shams Solary, Mehran Rasouli
{"title":"Inverting a k-heptadiagonal matrix based on Doolitle LU factorization","authors":"Maryam Shams Solary,&nbsp;Mehran Rasouli","doi":"10.1007/s11766-022-3763-8","DOIUrl":"10.1007/s11766-022-3763-8","url":null,"abstract":"<div><p>The purpose of the present paper is to show a new numeric and symbolic algorithm for inverting a general nonsingular k-heptadiagonal matrix. This work is based on Doolitle LU factorization of the matrix. We obtain a series of recursive relationships then we use them for constructing a novel algorithm for inverting a k-heptadiagonal matrix. The computational cost of the algorithm is calculated. Some illustrative examples are given to demonstrate the effectiveness of the proposed method.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 3","pages":"340 - 349"},"PeriodicalIF":0.0,"publicationDate":"2022-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44489527","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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