{"title":"Systematic Affinity of Verbena supina (Verbenaceae), a New Species to the Flora of Iran, Along with Infrageneric Classifications of the Genus","authors":"Atena Eslami-Farouji, Ahmad Reza Khosravi","doi":"10.1007/s40995-024-01714-9","DOIUrl":"10.1007/s40995-024-01714-9","url":null,"abstract":"<div><p>Recent evaluation of herbarium specimens in central regions of Fars province led to the introduction of a plant new to the Iranian flora. This novel specimen is introduced as the third distinct species of the genus <i>Verbena</i> named <i>V. supina</i> (Verbenaceae), and a detailed morphological description and illustration of Iranian specimen are provided herein. The genetic affinity of <i>V. supina</i> and allied species were also determined for the first time using nuclear ribosomal DNA genetic marker, and the validity of traditional infrageneric sub-classifications were critically examined. An identification key together with ecological information and the distribution area of this plant within the country, are also discussed. Based on this study, studied <i>Verbena</i> species were grouped into two main clades with distinct geographical dispersion, and the old-world <i>V. supina</i>, is found to be genetically similar to <i>V. officinalis</i>. Morphologically, <i>V. supina</i> and <i>V. officinalis</i> are distinct in terms of seed micro-structure, life form, leaf margin and inflorescence trichome type. The credibility and the monophyly of traditional infrageneric sub-classifications were not validated due to homoplastic characters. Likewise, derived traits such as autapomorphic and synapomorphic were critically determined.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"48 6","pages":"1383 - 1395"},"PeriodicalIF":1.4,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142524371","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Convergence Analysis of the Collocation Method for Solving Two-dimensional Fractional Volterra Integro-differential Equations","authors":"S. Kazemi, A. Tari","doi":"10.1007/s40995-024-01712-x","DOIUrl":"10.1007/s40995-024-01712-x","url":null,"abstract":"<div><p>The collocation method is one of the well-known numerical methods to solve different kinds of differential and integral equations, which has attracted the attention of many researchers in recent years. In Kazemi and Tari (Iran J Sci Technol Trans A Sci 46:1629–1639, 2022), the collocation method was extended to solve two-dimensional fractional Volterra integro-differential equations (2D-FVIDEs). In the current paper, which is a continuation of the mentioned work, the error and convergence analysis of it is investigated. Here, the existence and uniqueness of the solution are proved and a resolvent kernel representation is given to the solution. Then, the convergence of the method is proved in a theorem which also gives the convergence order. Finally, some numerical examples are given to confirm the theoretical results.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"48 6","pages":"1515 - 1527"},"PeriodicalIF":1.4,"publicationDate":"2024-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142524497","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Theoretical Approach to the Investigation of Electrostatic Plasma Waves in Laser Pulse Interaction with Hypothetical Nonuniform Quantum Electron–Positron Magnetoplasma","authors":"Maryam Asgharzadeh, Hossein Zahed","doi":"10.1007/s40995-024-01702-z","DOIUrl":"10.1007/s40995-024-01702-z","url":null,"abstract":"<div><p>Electrostatic plasma waves (EPWs) in a nonuniform quantum electron–positron magnetoplasma in the presence of ponderomotive force of laser have been studied using low-frequency and WKB approximations. Effects of the initial quantities and their transverse gradients and the effect of laser ponderomotive force on the plasma waves have been investigated. We indicate that the ponderomotive force, as regards its direction, has a significant effect on the plasma waves, and their instability rate in the parallel direction, so that, increasing the magnitude of this force increases the group and phase velocities of these waves and their instability rates. Also, the parallel plasma waves have been affected directly by amounts of initial number density and streaming velocity but, their dependence on the amount of external magnetic field is only, via the ponderomotive force. Our results indicate that in the quantum state, the additional correction terms in ponderomotive force can lead to a modification in the instability rate, and the plasma waves velocities. In the perpendicular direction, the transverse gradient of the external magnetic field was the only operant factor in the propagation of the EPWs, and it causes the waves become unstable. Also, their instabilities are affected by the magnetic field, number density, and their transverse gradients.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"48 6","pages":"1645 - 1651"},"PeriodicalIF":1.4,"publicationDate":"2024-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142524495","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Estimation of Probability Density Function Under Judgment Post-Stratification Sampling Using Bayesian Estimation of Bandwidth","authors":"Ali Najafi Majidabadi, Nader Nematollahi","doi":"10.1007/s40995-024-01698-6","DOIUrl":"10.1007/s40995-024-01698-6","url":null,"abstract":"<div><p>Judgment Post-Stratification (JPS) is a sampling method that uses extra rank information in a simple random sampling (SRS) to stratify the sample and increase the efficiency of the estimators of the population parameters. In this paper, we consider the kernel estimation of the probability density function (pdf) using JPS sample. The properties of JPS estimator of pdf and the asymptotic mean integrated squared error of this estimator are obtained. We find a condition which guarantees that JPS density estimate performs better than its simple random sampling counterpart. To implement the kernel density estimator, it is required to specify a bandwidth. We use a Bayesian approach to find an estimate of the bandwidth. To compare the JPS density estimator with SRS estimator and also Bayesian bandwidth with other existing bandwidths, we use an extensive simulation study. Results are applied to the bone mineral density (BMD) data from the third National Health and Nutrition Examination Survey to estimate pdf of BMD.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"48 6","pages":"1499 - 1514"},"PeriodicalIF":1.4,"publicationDate":"2024-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142524496","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
R. Vettumperumal, N. R. Dhineshbabu, Elumalai PV, Chan Choon Kit
{"title":"XRD Peak Profile and Inverse Pole Figure Analysis of Ceria (CeO2) Nanoparticles","authors":"R. Vettumperumal, N. R. Dhineshbabu, Elumalai PV, Chan Choon Kit","doi":"10.1007/s40995-024-01710-z","DOIUrl":"10.1007/s40995-024-01710-z","url":null,"abstract":"<div><p>The pursuit of identifying and enhancing a preferred grain texture has emerged as a viable approach to improve functional properties. X-ray and neutron diffraction techniques have proven to be invaluable tools for probing crystallographic textures. In this study, ceria (CeO2) nanoparticles were synthesized via the precipitation method, and their structural and morphological characteristics were investigated through X-ray diffraction (XRD) and field emission scanning electron microscopy (FESEM) analyses. The inconsistent behavior in the long-range two theta values of CeO<sub>2</sub> is elucidated from the crystallite size and strain plot. Hence, the XRD peak profile of the CeO<sub>2</sub> nanoparticles can be assessed through the Williamson – Hall (W-H), size strain plot (SSP), and Halder – Wagner (H-W) method. Among these, The Halder – Wagner method gives better structural parameter values and it confirms the existence of compressive strain in the CeO<sub>2</sub> lattice. Plane orientation, distribution, and position of Ce and O<sub>2</sub> atoms in the CeO<sub>2</sub> lattice are confirmed from the Rietveld refinement and texture analysis using GSAS – II. The regions of highest pole densities coincide with the (111) positions from the standard stereographic projection (001) which confirms the majority of particles in CeO<sub>2</sub> nanoparticles are aligned along the (001) plane.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"48 6","pages":"1653 - 1661"},"PeriodicalIF":1.4,"publicationDate":"2024-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142524494","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Fermat-Type Binomial Equations Involving Differential Difference Form in Higher Dimensional Complex Plane","authors":"Goutam Haldar, Abhijit Banerjee","doi":"10.1007/s40995-024-01716-7","DOIUrl":"10.1007/s40995-024-01716-7","url":null,"abstract":"<div><p>This paper is focused to find the potential solutions of a binomial Fermat type functional equation in <span>({mathbb {C}}^2)</span> where the equation involves operators formed by linear combinations of functions, shifts, and derivatives as it allows for a more comprehensive understanding of the underlying structures and relationships. Our approach is the first to unify the treatment of the function and its two important variants within a common framework to analyze the impact of the operator on the solutions of the Fermat type functional equation in two dimensional complex field. In our another attempt, for a specific subclass of the combination of the operators, we have been able to extend our result for <i>n</i> dimensional complex plane.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"48 6","pages":"1529 - 1540"},"PeriodicalIF":1.4,"publicationDate":"2024-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142524493","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Bikash Gogoi, Utpal Kumar Saha, Bipan Hazarika, Ravi P. Agarwal
{"title":"Existence of Positive Solutions of a Fractional Dynamic Equation Involving Integral Boundary Conditions on Time Scales","authors":"Bikash Gogoi, Utpal Kumar Saha, Bipan Hazarika, Ravi P. Agarwal","doi":"10.1007/s40995-024-01691-z","DOIUrl":"10.1007/s40995-024-01691-z","url":null,"abstract":"<div><p>The existence and uniqueness of positive solutions to a fractional dynamic equation involving integral boundary conditions on time scale are examined using the Banach fixed point theorem and Schauder’s fixed point theorem. The existence of the proposed dynamic equation has been determined using the Caputo nabla derivative operator (Caputo derivative on time scale in the nabla sense), the upper and lower solution approach, and the characteristics of the Green’s function on time scales. Further, some appropriate examples has been given to demonstrate the implementation of theoretical results.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"48 6","pages":"1463 - 1472"},"PeriodicalIF":1.4,"publicationDate":"2024-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142216100","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Constrained Bayesian Methods for Union-Intersection and Intersection-Union Hypotheses Testing Problems","authors":"K. J. Kachiashvili, A. SenGupta","doi":"10.1007/s40995-024-01693-x","DOIUrl":"10.1007/s40995-024-01693-x","url":null,"abstract":"<div><p>The Union-Intersection and Intersection-Union hypotheses testing problems are considered for all possible combinations of united and intersected sub-sets of hypotheses. Constrained Bayesian Method is developed for solving these problems. Optimal decision rules are derived for all stated combinations of hypotheses. Theorems on the optimality of the derived decision rules in the sense of the restrictions on Type-I and Type-II error rates to the desired levels are proved. The proposed theoretical methods are enhanced for practical examples. Extensive simulation results are presented to confirm the theoretical results and to illustrate the properties of the proposed procedures for a finite sample.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"48 6","pages":"1579 - 1594"},"PeriodicalIF":1.4,"publicationDate":"2024-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142216101","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Robust Higher-Order Scheme for Fractional Delay Differential Equations Involving Caputo Derivative","authors":"Biswajit Prusty, Madhukant Sharma","doi":"10.1007/s40995-024-01695-9","DOIUrl":"10.1007/s40995-024-01695-9","url":null,"abstract":"<div><p>This article considers nonlinear fractional delay differential equations involving Caputo’s fractional derivative of order <span>(alpha in (0,1))</span>. We focus on designing a robust numerical algorithm of order <span>(O(h^{4-alpha }))</span>. To achieve this, we developed a higher-order interpolation-based approximation for Caputo’s derivative, which enables us to construct a robust numerical scheme for the considered problem. Furthermore, we discuss the stability and error analysis of the proposed higher-order scheme. Finally, numerous examples, including real-life applications, are evaluated to demonstrate the computational efficiency of the proposed algorithm.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"48 6","pages":"1561 - 1577"},"PeriodicalIF":1.4,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142216102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Shivam Srivastava, Prachi Singh, Anjani Kumar Pandey, Chandra Kumar Dixit
{"title":"Investigations of Thermo-Elastic Properties of Mono Atomic and Diatomic Solids at High Pressure Using New EOS","authors":"Shivam Srivastava, Prachi Singh, Anjani Kumar Pandey, Chandra Kumar Dixit","doi":"10.1007/s40995-024-01690-0","DOIUrl":"10.1007/s40995-024-01690-0","url":null,"abstract":"<div><p>In this theoretical research, we have derived new equation of state (EOS) based on empirical concepts. This new EOS is suitable at high as well as low compression ranges for solids. In this study, pressure and bulk modulus of different solids have been established at high pressure. In the theoretical study four different solids viz. MgO, LiF, Ne and Ar have been considered. The exact matching of our work with previous workers leads to the conclusion that the new EOS can be used for calculating the thermo elastic properties of different solids.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"48 6","pages":"1663 - 1668"},"PeriodicalIF":1.4,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142216222","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}