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Optimizing ODE solutions: application of Nelder-Mead algorithm for solving mixed boundary value problems 优化 ODE 解决方案：应用 Nelder-Mead 算法解决混合边界值问题
Annals of Mathematics and Computer Science Pub Date : 2024-01-03 DOI: 10.56947/amcs.v20.226
A. Wusu, O. Olabanjo
{"title":"Optimizing ODE solutions: application of Nelder-Mead algorithm for solving mixed boundary value problems","authors":"A. Wusu, O. Olabanjo","doi":"10.56947/amcs.v20.226","DOIUrl":"https://doi.org/10.56947/amcs.v20.226","url":null,"abstract":"This abstract introduces a novel application of the Nelder-Mead algorithm in optimizing solutions to Ordinary Differential Equations (ODEs) with derivative boundary conditions. The study presents a refined methodology that leverages the Nelder-Mead algorithm’s adaptability to tackle ODEs characterized by intricate derivative constraints. With the aim of enhancing the toolkit for solving complex ODEs, the objective of this research is to showcase the algorithm’s efficacy in optimizing solutions under derivative boundary conditions. The methodology involves adapting the Nelder-Mead algorithm to navigate the param-eter space while satisfying both the ODEs and their derivative constraints. Experimental results demonstrate the algorithm’s capability to identify solutions that meet these stringent requirements, marking a significant advancement in addressing ODEs with derivative boundary conditions. The study concludes by emphasizing the algorithm’s potential for advancing ODE-solving techniques, particularly in scenarios where gradient-based methods struggle, thus widening the scope of applications across various scientific and engineering domains.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"17 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139389475","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}
引用次数: 0
Results of coupled iterative fixed point approximation 耦合迭代定点逼近的结果
Annals of Mathematics and Computer Science Pub Date : 2024-01-03 DOI: 10.56947/amcs.v20.236
Afeez Oyekanmi, Kamilu Rauf
{"title":"Results of coupled iterative fixed point approximation","authors":"Afeez Oyekanmi, Kamilu Rauf","doi":"10.56947/amcs.v20.236","DOIUrl":"https://doi.org/10.56947/amcs.v20.236","url":null,"abstract":"Let X be a Banach space and F a subset of X. In this paper, we showed weak and strong convergence theorems for a Krasnoselskij-type iterative method to approximate coupled solution of nonexpansive operator E: FxF-> F, where F is nonempty, depending on two variables. Furthermore, we obtained a fixed point for a (b, theta, L)-almost contraction operator E: X +X-> X using the Krasnoselskij iteration {xn}n=0infty.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"35 52","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139388789","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}
引用次数: 0
Bi-uniqueness range sets for powers of meromorphic functions 微函数幂的双唯一性范围集
Annals of Mathematics and Computer Science Pub Date : 2024-01-03 DOI: 10.56947/amcs.v20.223
P. Sahoo, A. Sarkar
{"title":"Bi-uniqueness range sets for powers of meromorphic functions","authors":"P. Sahoo, A. Sarkar","doi":"10.56947/amcs.v20.223","DOIUrl":"https://doi.org/10.56947/amcs.v20.223","url":null,"abstract":"In the paper, we study the uniqueness of powers of meromorphic functions for sharing two finite sets with finite weights and find Bi-unique range sets for meromorphic functions of power at least d. Examples are given in support of our result. We are inspired by the results due to A. Banerjee [Nihonkai Math. J. Vol.24 (2013), 121-134] and a recent result due to S. Mallick and D. Sarkar [Mat. Stud. 50(2018), 143-157.]","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"28 24","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139388922","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}
引用次数: 0
Fixed point theorems for modified F-weak contractions via α-admissible mapping with application to periodic points 通过 α 允许映射的修正 F 弱收缩的定点定理及其在周期点上的应用
Annals of Mathematics and Computer Science Pub Date : 2024-01-03 DOI: 10.56947/amcs.v20.232
Muhammed Raji, Musa Adeku Ibrahim
{"title":"Fixed point theorems for modified F-weak contractions via α-admissible mapping with application to periodic points","authors":"Muhammed Raji, Musa Adeku Ibrahim","doi":"10.56947/amcs.v20.232","DOIUrl":"https://doi.org/10.56947/amcs.v20.232","url":null,"abstract":"In (Fixed Point Theory Appl. 94:6, 2012), Wardowski introduced a new type of contraction called F-contraction and proved a fixed point result in complete metric spaces, which in turn generalizes the Banach contraction principle. The aim of this paper is to introduce a modified -F-weak contractions with respect to a self-mapping on a metric space and to obtain fixed point results. Examples are provided to support results and concepts presented herein. As an application of our results, periodic point results for the F-contractions in metric spaces are proved.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"26 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139389274","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}
引用次数: 0
Fixed point results for generalized F-alpha contraction in complete S-metric spaces 完整 S 度量空间中广义 F-α 收缩的定点结果
Annals of Mathematics and Computer Science Pub Date : 2024-01-03 DOI: 10.56947/amcs.v20.229
G. Saluja
{"title":"Fixed point results for generalized F-alpha contraction in complete S-metric spaces","authors":"G. Saluja","doi":"10.56947/amcs.v20.229","DOIUrl":"https://doi.org/10.56947/amcs.v20.229","url":null,"abstract":"In this paper, we prove some fixed point theorems for generalized F-alpha contraction in the setting of complete S-metric spaces and give some consequences as corollaries of the main results. Also, we furnish an illustrative example in support of the result. Our results extend, generalize and enrich several previous works from the existing literature (see, for example [6], [19], [27], [38] and some others).","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"20 22","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139389413","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}
引用次数: 0
On DNA code over a finite ring and its related parameters 关于有限环上的 DNA 代码及其相关参数
Annals of Mathematics and Computer Science Pub Date : 2023-12-18 DOI: 10.56947/amcs.v19.216
Chella Pandian P
{"title":"On DNA code over a finite ring and its related parameters","authors":"Chella Pandian P","doi":"10.56947/amcs.v19.216","DOIUrl":"https://doi.org/10.56947/amcs.v19.216","url":null,"abstract":"In this paper, lower bound and upper bound on the covering radius of DNA codes over N with respect to euclidean distance are given. Also determine the covering radius of various Repetition DNA codes, Simplex DNA code Type α and Simplex DNA code Type β and bounds on the covering radius for MacDonald DNA codes of both types over N.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"69 17","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139175690","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}
引用次数: 0
Bi-circular model with test particle variable mass 测试粒子质量可变的双圆模型
Annals of Mathematics and Computer Science Pub Date : 2023-12-18 DOI: 10.56947/amcs.v19.217
Abdullah A. Ansari, Saba Bano
{"title":"Bi-circular model with test particle variable mass","authors":"Abdullah A. Ansari, Saba Bano","doi":"10.56947/amcs.v19.217","DOIUrl":"https://doi.org/10.56947/amcs.v19.217","url":null,"abstract":"This paper presents the effects of the perturbations on the motion of the test particle variable mass in the bi-circular Sun perturbed oblate Earth-Moon system where primary is taken as oblate Earth, secondary is taken as Moon and the third body is assumed as Sun. These three bodies are moving in the same plane around barycenter. The fourth and smallest body (test particle is assumed to be having variable mass with time) is moving in the space under the perturbations such as gravitational forces of the primaries, the solar radiation pressure, the coriolis and centrifugal forces. Then we determine the equations of motion, the locations of critical points, their stability and periodic orbits.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"13 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139175413","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}
引用次数: 0
Numerical range of inner product type integral transformers on Hilbert spaces 希尔伯特空间上内积型积分变换器的数值范围
Annals of Mathematics and Computer Science Pub Date : 2023-12-18 DOI: 10.56947/amcs.v19.212
Priscah Moraa, D. Ambogo, F. Nyamwala
{"title":"Numerical range of inner product type integral transformers on Hilbert spaces","authors":"Priscah Moraa, D. Ambogo, F. Nyamwala","doi":"10.56947/amcs.v19.212","DOIUrl":"https://doi.org/10.56947/amcs.v19.212","url":null,"abstract":"In this paper we compute the algebraic numerical range for inner product type integral transformers and show that the basic properties of the algeraic numerical range holds for this operator.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"67 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139175741","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}
引用次数: 0
Climatic analysis based on interval-valued complex Pythagorean fuzzy graph structure 基于区间值复毕达哥拉斯模糊图结构的气候分析
Annals of Mathematics and Computer Science Pub Date : 2023-12-18 DOI: 10.56947/amcs.v19.213
S.N.SUBER Bathusha, S.ANGELIN Kavitha Raj
{"title":"Climatic analysis based on interval-valued complex Pythagorean fuzzy graph structure","authors":"S.N.SUBER Bathusha, S.ANGELIN Kavitha Raj","doi":"10.56947/amcs.v19.213","DOIUrl":"https://doi.org/10.56947/amcs.v19.213","url":null,"abstract":"The Interval-valued Complex Pythagorean Fuzzy Set (IVCPFS), an extension of the Pythagorean Fuzzy Set (PFS), offers a more accurate description of uncertainty than traditional fuzzy sets. It has numerous uses in fuzzy control. In this research study, we show the concept of Interval-Valued Complex Pythagorean Fuzzy Graph Structure (IVCPFGS), as well as the results of some regular IVCPFGS and totally regular IVCPFGS, along with the degree of vertex present. We also discussed the subdivision of an IVCPFGS, the  complement IVCPFGS, and the strength of a Path in an IVCPFGS. Finally, we discuss a realworld example based on temperature variation and climatic data analysis in an environment with an interval-valued complex Pythagorean fuzzy framework to demonstrate the applicability of the generated results.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"97 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139175845","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}
引用次数: 0
On the paradoxical behavior of divergent series 关于发散序列的矛盾行为
Annals of Mathematics and Computer Science Pub Date : 2023-12-18 DOI: 10.56947/amcs.v19.219
K. L. Verma
{"title":"On the paradoxical behavior of divergent series","authors":"K. L. Verma","doi":"10.56947/amcs.v19.219","DOIUrl":"https://doi.org/10.56947/amcs.v19.219","url":null,"abstract":"This paper presents some considerations on summation method on infinite divergent series. Irrefutably divergent series don’t have a sum in the traditional logic of the term. However there are extensions, where transformed definitions apportion changed values to the same divergent series and they rarely have agreeable properties. Particularly, at beginning and manipulating these instinctively, it easily comes across nasty paradoxes. In this article for any odd prime p, the divergent series  and on using this representation for further leads to a paradoxical bewildering novel formula which evidently contradicts the basic principles of arithmetic and the definition of a divergent series identical to Ramanujan paradox. Illustrations to support this illogicality result are discussed analytically and demonstrated graphically.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"5 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139174759","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}
引用次数: 0
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