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Application of New Orthogonal Shifted Vieta-Lucas Polynomials in Solving Integro-Differential Equations: Methods and Results 新的正交位移维塔-卢卡斯多项式在求解积分-微分方程中的应用：方法与结果
IF 1.4 4区 综合性期刊
Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2025-02-04 DOI: 10.1007/s40995-024-01774-x
Mohsen Riahi Beni
{"title":"Application of New Orthogonal Shifted Vieta-Lucas Polynomials in Solving Integro-Differential Equations: Methods and Results","authors":"Mohsen Riahi Beni","doi":"10.1007/s40995-024-01774-x","DOIUrl":"10.1007/s40995-024-01774-x","url":null,"abstract":"<div><p>This article presents an innovative method for solving linear and nonlinear integro-differential equations using Vieta-Lucas polynomials as basis functions, combined with the Galerkin method. Initially, these polynomials are transformed within an arbitrary interval, and their orthogonality is utilized to approximate each function in the equation. A key aspect of this study is the detailed expression of the weight function and orthogonality conditions of these polynomials across any interval. Leveraging these properties and the Galerkin method, the integro-differential equation is converted into a system of algebraic equations. Error estimation is thoroughly investigated through several lemmas and theorems, and the existence and uniqueness of the solution are proven. Finally, numerical tests are conducted using Maple software to validate the accuracy and effectiveness of the proposed method, with comparative analyses demonstrating its superiority over existing techniques.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"49 4","pages":"961 - 977"},"PeriodicalIF":1.4,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161775","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}
引用次数: 0
Photocatalytic Decolorization of Waste Water Using ZnS Catalyst Synthesized from Petroleum Coke 石油焦合成ZnS催化剂光催化废水脱色研究
IF 1.4 4区 综合性期刊
Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2025-02-03 DOI: 10.1007/s40995-025-01776-3
V. M. Vijay Kirushnan, S. J. Suchithradevi, T. Santhoshini Priya, R. Saravanathamizhan
{"title":"Photocatalytic Decolorization of Waste Water Using ZnS Catalyst Synthesized from Petroleum Coke","authors":"V. M. Vijay Kirushnan,&nbsp;S. J. Suchithradevi,&nbsp;T. Santhoshini Priya,&nbsp;R. Saravanathamizhan","doi":"10.1007/s40995-025-01776-3","DOIUrl":"10.1007/s40995-025-01776-3","url":null,"abstract":"<div><p>Petroleum coke has high carbon and 2.18% sulfur. It is generated as waste from refinery industries. The sulfur present in petroleum coke has been utilized to synthesize the ZnS photocatalyst by photolysis process. The ZnCl<sub>2</sub> and petroleum coke were pulverized in the ball mill where the two compounds are mixed at the ratio of 1:1. The catalyst is prepared by simple mixing technique, the photolysis process by maintaining constant temperature. The mixture is suspended in 100 mL water and mixed well. The solution was illuminated using 100W Ultraviolet (UV) lamp. The solution is well mixed using magnetic stirrer during the UV illumination process. After the photolysis process, the prepared sample is filtered. Then the synthesized sample is characterized to study the property of the nanocomposite. The prepared catalyst is used as a photocatalyst for the decolorization of Acid Red dye.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"49 4","pages":"927 - 933"},"PeriodicalIF":1.4,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161352","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}
引用次数: 0
Coapproximation Wavelet Using Hermite Wavelets and Haar Wavelets 利用Hermite小波和Haar小波的共逼近小波
IF 1.4 4区 综合性期刊
Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2025-02-03 DOI: 10.1007/s40995-024-01772-z
H. Mazaheri, M. Kalantari, S. M. Jesmani
{"title":"Coapproximation Wavelet Using Hermite Wavelets and Haar Wavelets","authors":"H. Mazaheri,&nbsp;M. Kalantari,&nbsp;S. M. Jesmani","doi":"10.1007/s40995-024-01772-z","DOIUrl":"10.1007/s40995-024-01772-z","url":null,"abstract":"<div><p>In this paper, we consider wavelet coapproximation in Hermite wavelets and Haar wavelets. At first, we define wavelet coapproximation of a function with concerning a set. We show that if the series <span>(sum _{n=0}^{infty }sum _{m=0}^{infty }|t_{n,m}|^2)</span> is convergent, then there exists a wavelet coapproximation for a set.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"49 2","pages":"505 - 510"},"PeriodicalIF":1.4,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143583392","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}
引用次数: 0
Porosity of (X^Phi ) Spaces (X^Phi )空间孔隙度
IF 1.4 4区 综合性期刊
Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2025-02-03 DOI: 10.1007/s40995-024-01764-z
AliReza Bagheri Salec, Ahmed Haroon Khaleel
{"title":"Porosity of (X^Phi ) Spaces","authors":"AliReza Bagheri Salec,&nbsp;Ahmed Haroon Khaleel","doi":"10.1007/s40995-024-01764-z","DOIUrl":"10.1007/s40995-024-01764-z","url":null,"abstract":"<div><p>This paper aims to extend several well-known theorems regarding porosity in Lebesgue and Orlicz spaces to generalized Orlicz spaces associated with quasi-Banach spaces. We will explore the implications of these extensions and provide a comprehensive analysis of their significance in the broader context of functional analysis. Additionally, we will present results concerning homogeneous spaces, and relationships with the generalized Orlicz spaces.\u0000</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"49 2","pages":"495 - 503"},"PeriodicalIF":1.4,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143583393","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}
引用次数: 0
An Analysis to Some Systems of Matrix Equations with ({phi })-Hermitian Solutions for Some Nonstandard Involution ({phi }) Over the Real Quaternion Algebra 一类矩阵方程组的分析 ({phi })非标准对合的厄米解 ({phi }) 关于实四元数代数
IF 1.4 4区 综合性期刊
Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2025-01-23 DOI: 10.1007/s40995-024-01758-x
Mahmoud Saad Mehany
{"title":"An Analysis to Some Systems of Matrix Equations with ({phi })-Hermitian Solutions for Some Nonstandard Involution ({phi }) Over the Real Quaternion Algebra","authors":"Mahmoud Saad Mehany","doi":"10.1007/s40995-024-01758-x","DOIUrl":"10.1007/s40995-024-01758-x","url":null,"abstract":"<div><p>This paper examines some systems of matrix equations with <span>({phi })</span>-Hermitian solutions for some nonstandard involution <span>({phi })</span> over the real quaternion algebra. We use the solvability conditions to determine the general solution for these systems, that is included a unique unknown. This approach entails using the Moore-Penrose inverse and the equality of coefficient matrix ranks. We employ these techniques to construct new algorithms capable of calculating general solutions. As a result, we identify the necessary and sufficient conditions for these systems’ consistency, leading to the derivation of their general solutions. We also applied these algorithms in some numerical examples to verify the theoretical outcomes.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"49 3","pages":"795 - 809"},"PeriodicalIF":1.4,"publicationDate":"2025-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143938590","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}
引用次数: 0
Impact of Alkalescent Nucleoside Antibiotic Loaded ZnONPs, on Enzymes, Hormones, Fatty Acids, and Metabolites in Rice Plant 负载ZnONPs的碱性核苷类抗生素对水稻酶、激素、脂肪酸和代谢物的影响
IF 1.4 4区 综合性期刊
Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2025-01-11 DOI: 10.1007/s40995-024-01743-4
Taswar Ahsan, Bingxue Li, Adnan Khalil, Tehseen Zafar, Maqsood Razzaq
{"title":"Impact of Alkalescent Nucleoside Antibiotic Loaded ZnONPs, on Enzymes, Hormones, Fatty Acids, and Metabolites in Rice Plant","authors":"Taswar Ahsan,&nbsp;Bingxue Li,&nbsp;Adnan Khalil,&nbsp;Tehseen Zafar,&nbsp;Maqsood Razzaq","doi":"10.1007/s40995-024-01743-4","DOIUrl":"10.1007/s40995-024-01743-4","url":null,"abstract":"<div><p>The application of alkalescent nucleoside antibiotics loaded onto zinc oxide nanoparticles (ZnONPs) may have a positive impact on multiple aspects of rice plants, such as antioxidant enzymes, proteins, Molandialdehyde (MDA), Hydrogen peroxide (H<sub>2</sub>O<sub>2</sub>), proline, photosynthesis, hormones, fatty acids, and metabolites. The rice plants that were subjected to <i>Magnaporthe grisea</i> + ZnONPs treatment induced high levels of activity in parameters such as superoxide dismutases, peroxidase, MDA, H<sub>2</sub>O<sub>2</sub>, jasmonic acid, salicylic acid, and indole acetic acid. On the other hand, the plants that were treated solely with ZnONPs induced the highest levels of catalase, protein, proline, photosynthesis rate, abscisic acid, phenol, and flavonoid in the rice plant. ZnONPs also significantly impact fatty acids compared to the control group. The study's overall conclusion is that alkalescent nucleoside antibiotic-loaded ZnONPs can combat the biotic stress caused by <i>M. grisea</i>. Furthermore, they induce rice plants' physiological and biochemical functions, indicating that these biofabricated ZnONPs positively impact rice plants.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"49 4","pages":"901 - 911"},"PeriodicalIF":1.4,"publicationDate":"2025-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164026","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}
引用次数: 0
A New Modified Orthogonal Saban Frame on (S^{2}_{1}) and (H^{2}_{0}) and the Evolution of Curves (S^{2}_{1})和(H^{2}_{0})上一种新的修正正交Saban框架及其曲线演化
IF 1.4 4区 综合性期刊
Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2025-01-08 DOI: 10.1007/s40995-024-01767-w
Alperen Kızılay, Atakan Tuğkan Yakut
{"title":"A New Modified Orthogonal Saban Frame on (S^{2}_{1}) and (H^{2}_{0}) and the Evolution of Curves","authors":"Alperen Kızılay,&nbsp;Atakan Tuğkan Yakut","doi":"10.1007/s40995-024-01767-w","DOIUrl":"10.1007/s40995-024-01767-w","url":null,"abstract":"<div><p>In this paper, we describe a new modified orthogonal Saban frame for timelike and spacelike curves with geodesic curvature on <span>(S^{2}_{1})</span> and the Saban frame for hyperbolic curves with geodesic curvature on <span>(H^{2}_{0})</span>. We study the evolution of curves depending on the modified orthogonal Sabban frame and we obtain the necessary conditions for the inextensible flow of curves on modified orthogonal Saban frame.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"49 3","pages":"833 - 846"},"PeriodicalIF":1.4,"publicationDate":"2025-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143938282","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}
引用次数: 0
A Hybrid Scheme for Efficient Numerical Solution of the Fractional Telegraph Equation 分数阶电报方程有效数值解的混合格式
IF 1.4 4区 综合性期刊
Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2024-12-31 DOI: 10.1007/s40995-024-01762-1
Atallah El-shenawy, Mohamed El-Gamel, Amir Teba
{"title":"A Hybrid Scheme for Efficient Numerical Solution of the Fractional Telegraph Equation","authors":"Atallah El-shenawy,&nbsp;Mohamed El-Gamel,&nbsp;Amir Teba","doi":"10.1007/s40995-024-01762-1","DOIUrl":"10.1007/s40995-024-01762-1","url":null,"abstract":"<div><p>The paper presents a novel technique for solving the fractional telegraph equation (FTE) using a combination of the Chebyshev collocation method and finite difference scheme. FTE is a generalization of the classical telegraph equation and is widely used in many areas of physics and engineering. The proposed method combines the advantages of both Chebyshev collocation and finite difference schemes to provide accurate and efficient solutions. A detailed error analysis is carried out to investigate the convergence behavior of the scheme and is compared with other numerical methods. Examples are given to demonstrate the efficiency and accuracy of the method and highlight its potential for solving more complex problems. Overall, our results show that the combined method of Chebyshev collocation and finite difference is a potent tool for solving FTE, providing reliable and accurate solutions with excellent convergence rates.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"49 3","pages":"811 - 824"},"PeriodicalIF":1.4,"publicationDate":"2024-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143938403","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}
引用次数: 0
Approximation of Stochastic Advection–Diffusion Equations with Predictor-Corrector Methods 用预测校正方法逼近随机平流扩散方程
IF 1.4 4区 综合性期刊
Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2024-12-30 DOI: 10.1007/s40995-024-01752-3
Fatemeh Nassajian Mojarrad, Ali R. Soheili
{"title":"Approximation of Stochastic Advection–Diffusion Equations with Predictor-Corrector Methods","authors":"Fatemeh Nassajian Mojarrad,&nbsp;Ali R. Soheili","doi":"10.1007/s40995-024-01752-3","DOIUrl":"10.1007/s40995-024-01752-3","url":null,"abstract":"<div><p>This paper focuses on the development and analysis of predictor-corrector methods for solving stochastic advection–diffusion equations. These equations play a significant role in modeling various physical phenomena where uncertainties are present. We first derive the predictor-corrector schemes and analyze their stability, consistency, and convergence in the mean-square sense. The results indicate that under appropriate conditions, the proposed methods maintain stability and exhibit desirable convergence properties. Additionally, we present a detailed comparison of the stability of these methods with some other existing numerical approaches. Numerical experiments validate the theoretical findings and demonstrate the accuracy and robustness of the methods. Although this study is primarily concerned with linear stochastic partial differential equations, we also discuss the potential extension of these methods to nonlinear cases, providing a foundation for future research in this direction.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"49 2","pages":"469 - 479"},"PeriodicalIF":1.4,"publicationDate":"2024-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143583382","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}
引用次数: 0
Lucas Operational Matrix Approach for Solving the Fractional Klein–Gordon Equation 求解分数阶Klein-Gordon方程的Lucas操作矩阵法
IF 1.4 4区 综合性期刊
Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2024-12-28 DOI: 10.1007/s40995-024-01744-3
A. A. Khajehnasiri, M. Afshar Kermani, T. Allahviranloo
{"title":"Lucas Operational Matrix Approach for Solving the Fractional Klein–Gordon Equation","authors":"A. A. Khajehnasiri,&nbsp;M. Afshar Kermani,&nbsp;T. Allahviranloo","doi":"10.1007/s40995-024-01744-3","DOIUrl":"10.1007/s40995-024-01744-3","url":null,"abstract":"<div><p>In this work, an efficient computational technique based on Lucas polynomials has been extended to approximately solve a certain class of fractional diffusion equations. Fractional order Lucas polynomials were used to represent the operational matrix of differentiation and integration. Subsequently, the fractional Klein–Gordon equation was reduced to a system of algebraic equations whose solution can be found through suitable algorithms such as Gauss elimination and Newton–Raphson methods. Based on the numerical results obtained, the proposed technique demonstrates a high level of efficiency and precision.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"49 3","pages":"771 - 780"},"PeriodicalIF":1.4,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143938230","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}
引用次数: 0
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