Pub Date : 2024-01-08DOI: 10.28924/2291-8639-22-2024-7
Abdelfatah Abasher, Elsiddeg Ali, Hajer Adam
In this paper, a numerical method based on the Chebyshev tau method is applied to analyze the effects of rotation and magnetic fields on Rayleigh-Bénard convection. The rotation and magnetic fields are assumed to be parallel to the vertical direction. The perturbation equations and boundary conditions are analyzed using normal mode analysis. The equations are then converted into a non-dimensional form and transformed into a generalized eigenvalue problem of the form AX=RBX, where R represents the eigenvalue corresponding to the Rayleigh number. The MATLAB software package is utilized to determine the relationship between the Rayleigh number and the Taylor number (rate of rotation), as well as the relationship between the Rayleigh number and the magnetic parameter (strength of the magnetic field) for different boundary conditions (free-free, rigid-rigid, or one free and the other rigid). The numerical and graphical results are presented and found to be in full agreement with the results obtained from previous analytical and numerical studies of the problem.
本文采用基于切比雪夫 tau 法的数值方法分析了旋转和磁场对雷利-贝纳德对流的影响。假设旋转和磁场平行于垂直方向。扰动方程和边界条件采用法模分析法进行分析。然后将方程转换为非维度形式，并转化为 AX=RBX 形式的广义特征值问题，其中 R 代表与瑞利数相对应的特征值。利用 MATLAB 软件包确定了雷利数与泰勒数（旋转速率）之间的关系，以及不同边界条件（自由-自由、刚性-刚性或一自由一刚性）下雷利数与磁参数（磁场强度）之间的关系。结果显示，数值和图形结果与之前对该问题的分析和数值研究结果完全一致。
{"title":"Effects of Rotation and Magnetic Field on Rayliegh Benard Convection","authors":"Abdelfatah Abasher, Elsiddeg Ali, Hajer Adam","doi":"10.28924/2291-8639-22-2024-7","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-7","url":null,"abstract":"In this paper, a numerical method based on the Chebyshev tau method is applied to analyze the effects of rotation and magnetic fields on Rayleigh-Bénard convection. The rotation and magnetic fields are assumed to be parallel to the vertical direction. The perturbation equations and boundary conditions are analyzed using normal mode analysis. The equations are then converted into a non-dimensional form and transformed into a generalized eigenvalue problem of the form AX=RBX, where R represents the eigenvalue corresponding to the Rayleigh number. The MATLAB software package is utilized to determine the relationship between the Rayleigh number and the Taylor number (rate of rotation), as well as the relationship between the Rayleigh number and the magnetic parameter (strength of the magnetic field) for different boundary conditions (free-free, rigid-rigid, or one free and the other rigid). The numerical and graphical results are presented and found to be in full agreement with the results obtained from previous analytical and numerical studies of the problem.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"54 21","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139445970","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-08DOI: 10.28924/2291-8639-22-2024-8
P. Khamrot, T. Gaketem
In this paper, we give the concept of bipolar fuzzy almost ideal, minimal almost bipolar fuzzy ideals, and prime (semiprime, strongly prime) bipolar fuzzy almost ideals in semigroups. We investigate the basic properties of bipolar fuzzy almost ideals in semigroups. Finally, we study the relationship between almost ideals and bipolar fuzzy almost ideals in semigroups.
{"title":"Applications of Bipolar Fuzzy Almost Ideals in Semigroups","authors":"P. Khamrot, T. Gaketem","doi":"10.28924/2291-8639-22-2024-8","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-8","url":null,"abstract":"In this paper, we give the concept of bipolar fuzzy almost ideal, minimal almost bipolar fuzzy ideals, and prime (semiprime, strongly prime) bipolar fuzzy almost ideals in semigroups. We investigate the basic properties of bipolar fuzzy almost ideals in semigroups. Finally, we study the relationship between almost ideals and bipolar fuzzy almost ideals in semigroups.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"23 5","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139446051","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-08DOI: 10.28924/2291-8639-22-2024-10
C. Boonpok, M. Thongmoon
Our main purpose is to introduce the concepts of weakly p(Λ, p)-open functions and weakly p(Λ, p)-closed functions. Moreover, several characterizations of weakly p(Λ, p)-open functions and weakly p(Λ, p)-closed functions are investigated.
{"title":"Weakly p(Λ, p)-Open Functions and Weakly p(Λ, p)-Closed Functions","authors":"C. Boonpok, M. Thongmoon","doi":"10.28924/2291-8639-22-2024-10","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-10","url":null,"abstract":"Our main purpose is to introduce the concepts of weakly p(Λ, p)-open functions and weakly p(Λ, p)-closed functions. Moreover, several characterizations of weakly p(Λ, p)-open functions and weakly p(Λ, p)-closed functions are investigated.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"20 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139446682","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-08DOI: 10.28924/2291-8639-22-2024-11
Jean De La Croix Sama, Doubassi Parfait Traore, K. Some
In this paper, an iterative approach based on the use of fuzzy parametric functions is proposed to find the best preferred optimal solution to a fuzzy multiobjective linear fractional optimization problem. From this approach, the decision-maker imposes tolerance values or termination conditions for each parametric objective function. Indeed, the fuzzy parametric values are computed iteratively, and each fuzzy fractional objective is transformed into a fuzzy non-fractional parametric function using these values of parameters. The core value of fuzzy numbers is used to transform the fuzzy multiobjective non-fractional problem into a deterministic multiobjective non-fractional problem, and the ε-constraint approach is employed to obtain a linear single objective optimization problem. Finally, by setting the value of parameter ε, the Dangtzig simplex method is used to obtain an optimal solution. Therefore, the number of solutions is equal to the number of used values, and the optimal solution is chosen according to the preference of the decision-maker. We have provided a didactic example to highlight the step of our approach and its numerical performances.
{"title":"New Approach to Solving Fuzzy Multiobjective Linear Fractional Optimization Problems","authors":"Jean De La Croix Sama, Doubassi Parfait Traore, K. Some","doi":"10.28924/2291-8639-22-2024-11","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-11","url":null,"abstract":"In this paper, an iterative approach based on the use of fuzzy parametric functions is proposed to find the best preferred optimal solution to a fuzzy multiobjective linear fractional optimization problem. From this approach, the decision-maker imposes tolerance values or termination conditions for each parametric objective function. Indeed, the fuzzy parametric values are computed iteratively, and each fuzzy fractional objective is transformed into a fuzzy non-fractional parametric function using these values of parameters. The core value of fuzzy numbers is used to transform the fuzzy multiobjective non-fractional problem into a deterministic multiobjective non-fractional problem, and the ε-constraint approach is employed to obtain a linear single objective optimization problem. Finally, by setting the value of parameter ε, the Dangtzig simplex method is used to obtain an optimal solution. Therefore, the number of solutions is equal to the number of used values, and the optimal solution is chosen according to the preference of the decision-maker. We have provided a didactic example to highlight the step of our approach and its numerical performances.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"33 13","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139446577","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-03DOI: 10.28924/2291-8639-22-2024-1
Ali H. Hakami, Moin A. Ansari, A. Haider
We will construct few types of simple graphs (with no multiple edges or loops) based on the ideal annihilator, right ideal annihilator, left ideal annihilator for JU-algebras. We will also study some graph invariants, such as connectivity, regularity, and planarity for these graphs.
我们将根据 JU 矩阵的理想湮灭器、右理想湮灭器和左理想湮灭器构建几类简单图（没有多边或循环）。我们还将研究这些图的一些图不变式，如连通性、规则性和平面性。
{"title":"On Some Graphs Based on the Ideals of JU-Algebras","authors":"Ali H. Hakami, Moin A. Ansari, A. Haider","doi":"10.28924/2291-8639-22-2024-1","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-1","url":null,"abstract":"We will construct few types of simple graphs (with no multiple edges or loops) based on the ideal annihilator, right ideal annihilator, left ideal annihilator for JU-algebras. We will also study some graph invariants, such as connectivity, regularity, and planarity for these graphs.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"6 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139450887","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-03DOI: 10.28924/2291-8639-22-2024-4
Wasinee Pradubsri, Chawanee Suphirat
The purpose of the article is to evaluate the efficiency of seven test statistics for mean difference testing between two independent populations. The evaluation was based on the probability of type I error and power of the test at 0.05 significance level under population distributions assumed to be normal, exponential, log-normal, gamma, and Laplace with equal sample sizes, and both equal and unequal variances. The results showed that for equal variance, the test statistics with the highest testing power controlled the probability of type I error were Z-test for normal and exponential distributions, Welch based on rank test (WBR) for log-normal and gamma distributions, and Mann-Whitney U test (MWU) for Laplace distribution. For unequal variance, Z-test was more efficient under normal, exponential, log-normal, and gamma distributions, while WBR was appropriate for Laplace distribution.
文章的目的是评估用于两个独立种群间均值差异检验的七个检验统计量的效率。评价的依据是在样本量相等、方差相等和不相等的情况下，假定种群分布为正态分布、指数分布、对数正态分布、伽马分布和拉普拉斯分布时，在 0.05 显著性水平下的 I 型错误概率和检验功率。结果表明，在等方差情况下，正态分布和指数分布的 Z 检验、对数正态分布和伽马分布的韦尔奇秩检验（WBR）以及拉普拉斯分布的曼-惠特尼 U 检验（MWU）是控制 I 型错误概率的检验能力最高的检验统计量。就不等方差而言，Z 检验在正态分布、指数分布、对数正态分布和伽马分布中更为有效，而 WBR 检验则适用于拉普拉斯分布。
{"title":"Comparison of Test Statistics for Mean Difference Testing Between Two Independent Populations","authors":"Wasinee Pradubsri, Chawanee Suphirat","doi":"10.28924/2291-8639-22-2024-4","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-4","url":null,"abstract":"The purpose of the article is to evaluate the efficiency of seven test statistics for mean difference testing between two independent populations. The evaluation was based on the probability of type I error and power of the test at 0.05 significance level under population distributions assumed to be normal, exponential, log-normal, gamma, and Laplace with equal sample sizes, and both equal and unequal variances. The results showed that for equal variance, the test statistics with the highest testing power controlled the probability of type I error were Z-test for normal and exponential distributions, Welch based on rank test (WBR) for log-normal and gamma distributions, and Mann-Whitney U test (MWU) for Laplace distribution. For unequal variance, Z-test was more efficient under normal, exponential, log-normal, and gamma distributions, while WBR was appropriate for Laplace distribution.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"56 11","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139451660","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-03DOI: 10.28924/2291-8639-22-2024-2
V. P. Vineela Korada, S. Ragamayi, Aiyared Iampan
The main objective of this paper is to present the notation of bipolar fuzzy filters of Γ-near rings and ordered Γ-near rings. As a consequence, we deal with bipolar fuzzy prime ideals of Γ-near rings and ordered Γ-near rings. Also, we examine the one-to-one correspondence of bipolar fuzzy filters and crisp filters of Γ-near rings. Later, we define and study the homomorphism of ordered Γ-near rings.
{"title":"Bipolar Fuzzy Filters of Gamma-Near Rings","authors":"V. P. Vineela Korada, S. Ragamayi, Aiyared Iampan","doi":"10.28924/2291-8639-22-2024-2","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-2","url":null,"abstract":"The main objective of this paper is to present the notation of bipolar fuzzy filters of Γ-near rings and ordered Γ-near rings. As a consequence, we deal with bipolar fuzzy prime ideals of Γ-near rings and ordered Γ-near rings. Also, we examine the one-to-one correspondence of bipolar fuzzy filters and crisp filters of Γ-near rings. Later, we define and study the homomorphism of ordered Γ-near rings.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"12 17","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139388938","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-03DOI: 10.28924/2291-8639-22-2024-3
S. Karthikeyan, J. Venkatesan, N. Vijaya, G. Chitra, G. Ganapathy
In this paper, we solve the general solution in vector space and prove the Hyers-Ulam stability of the following additive functional equationin paranormed spaces by using the direct and fixed point methods. Also we present its pertinent counter examples for instabilities.
{"title":"Instabilities and Stabilities of Additive Functional Equation in Paranormed Spaces","authors":"S. Karthikeyan, J. Venkatesan, N. Vijaya, G. Chitra, G. Ganapathy","doi":"10.28924/2291-8639-22-2024-3","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-3","url":null,"abstract":"In this paper, we solve the general solution in vector space and prove the Hyers-Ulam stability of the following additive functional equationin paranormed spaces by using the direct and fixed point methods. Also we present its pertinent counter examples for instabilities.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"51 5","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139388366","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-03DOI: 10.28924/2291-8639-22-2024-5
Devendra Kumar
The Szegö curve is denoted by SRo={z∈C: |ze1−z|=Ro, |z|≤1} and let HR be the class of functions analytic in GR but not in GR’ if R
塞戈曲线用 SRo={z∈C 表示：|ze1-z|=Ro，|z|≤1}，设 HR 为在 GR 中解析但不在 GR' 中解析的函数类（如果 R
{"title":"Weighted Polynomial Approximation Error, Szegö Curve and Growth Parameters of Analytic Functions","authors":"Devendra Kumar","doi":"10.28924/2291-8639-22-2024-5","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-5","url":null,"abstract":"The Szegö curve is denoted by SRo={z∈C: |ze1−z|=Ro, |z|≤1} and let HR be the class of functions analytic in GR but not in GR’ if R<R’, GRo=int SRo’, 0<Ro<R<1. In this paper we have studied growth parameters in terms of weighted polynomial approximation errors on SRo for the functions f∈HR having rapidly increasing maximum modulus so that the order of f(z) is infinite.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"11 9","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139451620","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-03DOI: 10.28924/2291-8639-22-2024-6
M. El Hajji, N. S. Alharbi, Mohammed H. Alharbi
We studied a simple mathematical model for the chikungunya virus (CHIKV) spread under the influence of a seasonal environment with two routes of infection. We investigated the existence and the uniqueness of a bounded positive solution, and we showed that the system admits a global attractor set. We calculated the basic reproduction number R0 for the both cases, the fixed and seasonal environment which permits us to characterise both, the extinction and the persistence of the disease with regard to the values of R0. We proved that the virus-free equilibrium point is globally asymptotically stable if R0≤1, while the disease will persist if R0>1. Finally, we gave some numerical examples confirming the theoretical findings.
{"title":"Mathematical Modeling for a CHIKV Transmission Under the Influence of Periodic Environment","authors":"M. El Hajji, N. S. Alharbi, Mohammed H. Alharbi","doi":"10.28924/2291-8639-22-2024-6","DOIUrl":"https://doi.org/10.28924/2291-8639-22-2024-6","url":null,"abstract":"We studied a simple mathematical model for the chikungunya virus (CHIKV) spread under the influence of a seasonal environment with two routes of infection. We investigated the existence and the uniqueness of a bounded positive solution, and we showed that the system admits a global attractor set. We calculated the basic reproduction number R0 for the both cases, the fixed and seasonal environment which permits us to characterise both, the extinction and the persistence of the disease with regard to the values of R0. We proved that the virus-free equilibrium point is globally asymptotically stable if R0≤1, while the disease will persist if R0>1. Finally, we gave some numerical examples confirming the theoretical findings.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"57 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139451647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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