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Ikonion Journal of Mathematics最新文献

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A New Hybrid Block Method via Combined Hermite Polynomials and Exponential Functions as Basis Function 结合厄米特多项式和指数函数作为基函数的混合块法
Ikonion Journal of Mathematics Pub Date : 2023-07-11 DOI: 10.54286/ikjm.1227629
Hycienth O. Orapine, Zirra Donald, Ali A. Bai̇du, Joshua Oladele
{"title":"A New Hybrid Block Method via Combined Hermite Polynomials and Exponential Functions as Basis Function","authors":"Hycienth O. Orapine, Zirra Donald, Ali A. Bai̇du, Joshua Oladele","doi":"10.54286/ikjm.1227629","DOIUrl":"https://doi.org/10.54286/ikjm.1227629","url":null,"abstract":"This paper presents the derivation and implementation of a hybrid block method for solving stiff and oscillatory first-order initial value problems of ordinary differential equations (ODEs). The hybrid block method was derived by continuous collocation and interpolation using combined Hermite polynomials and exponential functions as the basis function to produce a continuous implicit Linear Multistep Method (LMM) of order nine and implement in block form. The basic properties of the derived method were studied, and the hybrid block integrator was demonstrated to be zero-stable, convergent, consistent, and to have an A-stable region of absolute stability, which made it suitable for stiff and oscillatory ordinary differential equations. The use of a combined basis in the generation of LMMs is worthy of universal acceptance. The technique indicates that, utilizing an interpolation and collocation approach, continuous LMMs can be derived from combinations of any polynomials and exponential functions. On two sampled stiff and oscillatory problems, the new integrator was tested. The numerical results indicate that our new hybrid block integrator is computationally efficient and outperforms existing methods in terms of accuracy","PeriodicalId":114258,"journal":{"name":"Ikonion Journal of Mathematics","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132128994","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
CONSTRUCTING THE ELLİPSE AND ITS APPLICATIONS IN ANALYTICAL FUZZY PLANE GEOMETRY 构造ellİpse及其在解析模糊平面几何中的应用
Ikonion Journal of Mathematics Pub Date : 2023-02-08 DOI: 10.54286/ikjm.1200814
Seçil Özekinci, Cansel Yormaz
{"title":"CONSTRUCTING THE ELLİPSE AND ITS APPLICATIONS IN ANALYTICAL FUZZY PLANE GEOMETRY","authors":"Seçil Özekinci, Cansel Yormaz","doi":"10.54286/ikjm.1200814","DOIUrl":"https://doi.org/10.54286/ikjm.1200814","url":null,"abstract":"In this paper, we studied about a detailed analysis of fuzzy ellipse. In the previously studies, some methods for fuzzy parabola are discussed (Ghosh and Chakraborty,2019). To define the fuzzy ellipse, it is necessary to modify the method applied for the fuzzy parabola. First, need to get five same points with the same membership grade to create crisp ellipse and the union of crisp ellipses passing through these points will form the fuzzy ellipse. Although it is difficult to determine the points with this property, it is important for constructing the fuzzy ellipse equation. In this study, we determine the points that satisfy this condition and prove the properties required to obtain the fuzzy ellipse to be formed by using these points. We have drawn a graph of a fuzzy ellipse and depicted the geometric location of fuzzy points with different membership grades on graph. We have also shown some geometric application on examples. In the third part of this study, it has been shown that the determinants defined in the calculation of the coefficients of the fuzzy ellipse can be calculated using the maple program for different points and angles with the examples given, thus different fuzzy ellipses can be obtained.","PeriodicalId":114258,"journal":{"name":"Ikonion Journal of Mathematics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127753272","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
Lie Algebra Contributions to Instantaneous Plane Kinematics 李代数对瞬时平面运动学的贡献
Ikonion Journal of Mathematics Pub Date : 2023-01-09 DOI: 10.54286/ikjm.1230895
İ. Karakılıç, Derya BAYRIL AYKUT
{"title":"Lie Algebra Contributions to Instantaneous Plane Kinematics","authors":"İ. Karakılıç, Derya BAYRIL AYKUT","doi":"10.54286/ikjm.1230895","DOIUrl":"https://doi.org/10.54286/ikjm.1230895","url":null,"abstract":"Roth and Bottema obtain the instantaneous properties of a plane motion and its inverse motion by the instantaneous invariants depending on a canonical frame which was introduced in Veldkamp's dissertation(1963). We obtain the instantaneous invariants depending on the same frame by using Lie algebra of the plane motion.","PeriodicalId":114258,"journal":{"name":"Ikonion Journal of Mathematics","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124015284","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 Dynamics and Solutions Expressions of Higher-Order Rational Difference Equations 高阶有理差分方程的动力学及其解的表达式
Ikonion Journal of Mathematics Pub Date : 2022-12-23 DOI: 10.54286/ikjm.1131769
E. Elsayed, Faiza AL-RAKHAMİ
{"title":"On Dynamics and Solutions Expressions of Higher-Order Rational Difference Equations","authors":"E. Elsayed, Faiza AL-RAKHAMİ","doi":"10.54286/ikjm.1131769","DOIUrl":"https://doi.org/10.54286/ikjm.1131769","url":null,"abstract":"The principle goal of this paper is to look at some of the qualitative behavior of the critical point of the rational difference equation \u0000 \u0000 Ψ_{n+1}=αΨ_{n-2}+((βΨ_{n-2}Ψ_{n-3})/(γΨ_{n-3}+δΨ_{n-6})), n=0,1,2,..., \u0000 \u0000where α,β,γ and δ are arbitrary positive real numbers. We also used the proposed equation to get the general solution for particular cases and provided numerical examples to demonstrate our results.","PeriodicalId":114258,"journal":{"name":"Ikonion Journal of Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130792133","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
Conformable Fractional Elzaki Decomposition Method of Conformable Fractional Space-Time Fractional Telegraph Equations 可适分数阶时空分数阶电报方程的可适分数阶Elzaki分解方法
Ikonion Journal of Mathematics Pub Date : 2022-12-23 DOI: 10.54286/ikjm.1178988
Halil Anaç
{"title":"Conformable Fractional Elzaki Decomposition Method of Conformable Fractional Space-Time Fractional Telegraph Equations","authors":"Halil Anaç","doi":"10.54286/ikjm.1178988","DOIUrl":"https://doi.org/10.54286/ikjm.1178988","url":null,"abstract":"Conformable space-time fractional linear telegraph equations are examined using a new method known as conformable fractional Elzaki decomposition method. The suggested method combines the Adomian decomposition method with the conformable fractional Elzaki transform. It is found that numerical simulations confirm the effectiveness and reliability of the proposed method.","PeriodicalId":114258,"journal":{"name":"Ikonion Journal of Mathematics","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125495360","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
Categorification of Algebras: 2-Algebras 代数的分类:2-代数
Ikonion Journal of Mathematics Pub Date : 2022-12-23 DOI: 10.54286/ikjm.1183609
I. Akça, U. EGE ARSLAN
{"title":"Categorification of Algebras: 2-Algebras","authors":"I. Akça, U. EGE ARSLAN","doi":"10.54286/ikjm.1183609","DOIUrl":"https://doi.org/10.54286/ikjm.1183609","url":null,"abstract":"This paper introduces a categorification of k-algebras called 2-algebras, where k is a commutative ring. We define the 2-algebras as a 2-category with single object in which collections of all 1-morphisms and all 2-morphisms are k-algebras. It is shown that the category of 2-algebras is equivalent to the category of crossed modules in commutative k-algebras.","PeriodicalId":114258,"journal":{"name":"Ikonion Journal of Mathematics","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134369398","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
Completeness of the Category of Rack Crossed Modules 机架交叉模块类别的完备性
Ikonion Journal of Mathematics Pub Date : 2022-12-23 DOI: 10.54286/ikjm.1199290
Hatice GÜLSÜN AKAY, I. Akça
{"title":"Completeness of the Category of Rack Crossed Modules","authors":"Hatice GÜLSÜN AKAY, I. Akça","doi":"10.54286/ikjm.1199290","DOIUrl":"https://doi.org/10.54286/ikjm.1199290","url":null,"abstract":"In this paper, we prove that the category of rack crossed modules (with a fixed codomain) is finitely complete. In other words, we construct the product, pullback and equalizer objects in the category of crossed modules of racks. We therefore unify the group-theoretical analogy of the completeness property in the sense of the functor $mathbf{Conj colon Grp to Rack} $.","PeriodicalId":114258,"journal":{"name":"Ikonion Journal of Mathematics","volume":"178 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114734815","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: 1
An Approach Utilizing The Intuitionistic Fuzzy TOPSIS Method To Unmanned Air Vehicle Selection 直觉模糊TOPSIS法在无人机选择中的应用
Ikonion Journal of Mathematics Pub Date : 2022-11-16 DOI: 10.54286/ikjm.1174877
Feride Tuğrul
{"title":"An Approach Utilizing The Intuitionistic Fuzzy TOPSIS Method To Unmanned Air Vehicle Selection","authors":"Feride Tuğrul","doi":"10.54286/ikjm.1174877","DOIUrl":"https://doi.org/10.54286/ikjm.1174877","url":null,"abstract":"The intuitionistic fuzzy TOPSIS method is one of the popular multi-criteria decision making methods today, as it allows decision makers to reflect their views objectively. In this study, an intuitionistic fuzzy based decision making mechanism was created for the selection of UAVs, which have a very important place in today's military and civil sense. Experts in the field that is decision makers determined the criteria that are important in the selection of UAVs in this method. Afterward, they expressed their opinions about the UAVs to be evaluated according to these criteria, provided that each criterion is independent of each other. The most suitable UAV was selected among the target-oriented UAVs. The method used in the study and the mechanism established will shed light on many studies.","PeriodicalId":114258,"journal":{"name":"Ikonion Journal of Mathematics","volume":"139 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133461116","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 Vertex-Degree-Based Indices of Monogenic Semigroup Graphs 单基因半群图的基于顶点度的指标
Ikonion Journal of Mathematics Pub Date : 2022-10-13 DOI: 10.54286/ikjm.1160312
Seda Oğuz Ünal
{"title":"On Vertex-Degree-Based Indices of Monogenic Semigroup Graphs","authors":"Seda Oğuz Ünal","doi":"10.54286/ikjm.1160312","DOIUrl":"https://doi.org/10.54286/ikjm.1160312","url":null,"abstract":"Albertson and the reduced Sombor indices are vertex-degree-based graph invariants that given in [5] and [18], defined as \u0000 \u0000Alb(G)=sum_{uvin E(G)}left|d_{u}-d_{v}right|, SO_{red}(G)=sum_{uvin E(G)}sqrt{(d_{u}-1)^{2}+(d_{v}-1)^{2}}, \u0000 \u0000respectively. \u0000 \u0000In this work we show that a calculation of Albertson and reduced Sombor index which are vertex-degree-based topological indices, over monogenic semigroup graphs.","PeriodicalId":114258,"journal":{"name":"Ikonion Journal of Mathematics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127505821","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
New Generalized Hypergeometric Functions 新的广义超几何函数
Ikonion Journal of Mathematics Pub Date : 2022-10-13 DOI: 10.54286/ikjm.1100753
Salım Rabı'u Kabara
{"title":"New Generalized Hypergeometric Functions","authors":"Salım Rabı'u Kabara","doi":"10.54286/ikjm.1100753","DOIUrl":"https://doi.org/10.54286/ikjm.1100753","url":null,"abstract":"The classical Gauss hypergeometric function and the Kumar confluent hypergeometric function are defined using a classical Pochammer symbol , and a factorial function. This research paper will present a two-parameter Pochhammer symbol, and discuss some of its properties such as recursive formulae and integral representation. In addition, the generalized Gauss and Kumar confluent hypergeometric functions are defined using a two-parameter Pochhammer symbol and two-parameter factorial function and some of the properties of the new generalized hypergeometric functions were also discussed.","PeriodicalId":114258,"journal":{"name":"Ikonion Journal of Mathematics","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121543345","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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