. This article deals with some special cases of Williamson Hadamard matrices, which are generated by block symmetric circulant matrices. In these cases, the patterns of the obtained examples have been analyzed for insight into the nature of the Williamson matrices
{"title":"On Some Examples of Williamson Matrices","authors":"P. K. Manjhi, Ninian Nauneet Kujur","doi":"10.26713/cma.v14i1.2225","DOIUrl":"https://doi.org/10.26713/cma.v14i1.2225","url":null,"abstract":". This article deals with some special cases of Williamson Hadamard matrices, which are generated by block symmetric circulant matrices. In these cases, the patterns of the obtained examples have been analyzed for insight into the nature of the Williamson matrices","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74494334","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}
. The bow-tie product is a newly named binary operation on graphs. In this article, we present some properties of the bow-tie product of graphs, as well as some results on both the harmonic centrality and the harmonic centralization of the bow-tie product of the path P 2 with any of the path P m , cycle C m , star S m , fan F m , and wheel W m .
{"title":"Harmonic Centrality and Centralization of the Bow-Tie Product of Graphs","authors":"Jose Mari E. Ortega, R. G. Eballe","doi":"10.26713/cma.v14i1.1963","DOIUrl":"https://doi.org/10.26713/cma.v14i1.1963","url":null,"abstract":". The bow-tie product is a newly named binary operation on graphs. In this article, we present some properties of the bow-tie product of graphs, as well as some results on both the harmonic centrality and the harmonic centralization of the bow-tie product of the path P 2 with any of the path P m , cycle C m , star S m , fan F m , and wheel W m .","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73842142","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}
P. M. Goud, J. A. Nanware, T. L. Holambe, N. B. Jadhav
{"title":"Approximate Method for Solving System of Linear Fredholm Fractional Integro-Differential Equations Using Least Squares Method and Lauguerre Polynomials","authors":"P. M. Goud, J. A. Nanware, T. L. Holambe, N. B. Jadhav","doi":"10.26713/cma.v14i1.2007","DOIUrl":"https://doi.org/10.26713/cma.v14i1.2007","url":null,"abstract":"","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77235696","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}
{"title":"Y-index of Different Corona Products of Graphs","authors":"V. S. Agnes, C. Kannadasan","doi":"10.26713/cma.v14i1.1841","DOIUrl":"https://doi.org/10.26713/cma.v14i1.1841","url":null,"abstract":"","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84545395","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}
D. Babu, M. C. Raju, S. Venkateswarlu, E. K. Reddy
. An analytical model is employed for the nanofluid flow, heat and mass transfer from an infinite vertical plate in the presence of chemical reaction, and Soret effect. The governing equations that come from this are non-dimensionalized, transformed into a comparable form, and then solved using the three term perturbation technique and the accompanying boundary conditions. For this investigation, three different types of nano-fluids containing metallic nano particles as Cu (copper), and non-metallic nano particles as Al 2 O 3 (alumina oxide), TiO 2 (titanium oxide) are considered, and water is considered as a base nanofluid. Using the MATLAB “Perturbation Method” and the findings already published in the literature, the resulting results are verified. It is described how important variables including the magnetic parameter, chemical reaction parameter, Soret number, the solid volume percentage of nanoparticles, the kind of nanofluid used, Nusselt number, Sherwood number and skin friction coefficient affect the flow. Tabular comparisons with published findings are shown.
{"title":"Thermo-Diffusion Effect on MHD Flow of Various Nano Fluids Past a Vertical Porous Plate","authors":"D. Babu, M. C. Raju, S. Venkateswarlu, E. K. Reddy","doi":"10.26713/cma.v14i1.1986","DOIUrl":"https://doi.org/10.26713/cma.v14i1.1986","url":null,"abstract":". An analytical model is employed for the nanofluid flow, heat and mass transfer from an infinite vertical plate in the presence of chemical reaction, and Soret effect. The governing equations that come from this are non-dimensionalized, transformed into a comparable form, and then solved using the three term perturbation technique and the accompanying boundary conditions. For this investigation, three different types of nano-fluids containing metallic nano particles as Cu (copper), and non-metallic nano particles as Al 2 O 3 (alumina oxide), TiO 2 (titanium oxide) are considered, and water is considered as a base nanofluid. Using the MATLAB “Perturbation Method” and the findings already published in the literature, the resulting results are verified. It is described how important variables including the magnetic parameter, chemical reaction parameter, Soret number, the solid volume percentage of nanoparticles, the kind of nanofluid used, Nusselt number, Sherwood number and skin friction coefficient affect the flow. Tabular comparisons with published findings are shown.","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89646332","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}
. The detour pebbling number of a graph G is the least positive integer f ∗ ( G ) such that these pebbles are placed on the vertices of G , we can move a pebble to a target vertex by a sequence of pebbling moves each move taking two pebbles off a vertex and placing one of the pebbles on an adjacent vertex using detour path. In this paper, we compute the detour pebbling number for the commutative ring of zero-divisor graphs, sum and the product of zero divisor graphs.
{"title":"Detour Pebbling Number on Some Commutative Ring Graphs","authors":"A. Lourdusamy, S. K. Iammal, I. Dhivviyanandam","doi":"10.26713/cma.v14i1.2018","DOIUrl":"https://doi.org/10.26713/cma.v14i1.2018","url":null,"abstract":". The detour pebbling number of a graph G is the least positive integer f ∗ ( G ) such that these pebbles are placed on the vertices of G , we can move a pebble to a target vertex by a sequence of pebbling moves each move taking two pebbles off a vertex and placing one of the pebbles on an adjacent vertex using detour path. In this paper, we compute the detour pebbling number for the commutative ring of zero-divisor graphs, sum and the product of zero divisor graphs.","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80569881","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}
. The influence of magnetic field and viscous dissipation on a non-Newtonian fluid flowing across a nonlinear stretching sheet is investigated in this investigation. Researchers use similarity transformations to make the governing nonlinear partial differential equations (PDE) into ordinary differential equations (ODE) and then solve them using the ND Solve code in Mathematica. In the process of enhance the values of Eckert number, the temperature profile gets enhanced, while the rise in magnetic parameter decreases the velocity boundary layer (BL) thickness. The applications of this investigation are found in several heating devices and industrial processes such as incandescent light bulbs, food production, and many more.
{"title":"Viscous Dissipation Impact on Hydromagnetic Flow on a Stretching Surface: A Numerical Study","authors":"V. Deepthi, R. Raju, V. K. Narla","doi":"10.26713/cma.v14i1.1894","DOIUrl":"https://doi.org/10.26713/cma.v14i1.1894","url":null,"abstract":". The influence of magnetic field and viscous dissipation on a non-Newtonian fluid flowing across a nonlinear stretching sheet is investigated in this investigation. Researchers use similarity transformations to make the governing nonlinear partial differential equations (PDE) into ordinary differential equations (ODE) and then solve them using the ND Solve code in Mathematica. In the process of enhance the values of Eckert number, the temperature profile gets enhanced, while the rise in magnetic parameter decreases the velocity boundary layer (BL) thickness. The applications of this investigation are found in several heating devices and industrial processes such as incandescent light bulbs, food production, and many more.","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74827526","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}
{"title":"Bipolar Valued Multi Fuzzy Normal Subnear-Ring of a Near-Ring","authors":"S. Muthukumaran, B. Anandh","doi":"10.26713/cma.v14i1.2000","DOIUrl":"https://doi.org/10.26713/cma.v14i1.2000","url":null,"abstract":"","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85257837","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}
. An investigation of unsteady MHD free convection flow over a changeable permeable plate with Casson fluid in the presence of heat absorption and Eckert number effects have been carried out. The governing equations of the flow are solved by Galerikin method. Velocity, temperature and concentration profiles are analyzed through the graphs with effects of Casson, permeability, phase angle, Eckert number and chemical reaction parameter, which provide excellent correlation with the previous results.
{"title":"Finite Element Analysis of an Unsteady MHD Normal Convection Flow of a Casson Fluid Past a Vertical Oscillating Plate in Porous Medium with Effect of Heat Source and Eckert Number","authors":"Ramesh Kune, S. Hari, Singh Naik","doi":"10.26713/cma.v14i1.1853","DOIUrl":"https://doi.org/10.26713/cma.v14i1.1853","url":null,"abstract":". An investigation of unsteady MHD free convection flow over a changeable permeable plate with Casson fluid in the presence of heat absorption and Eckert number effects have been carried out. The governing equations of the flow are solved by Galerikin method. Velocity, temperature and concentration profiles are analyzed through the graphs with effects of Casson, permeability, phase angle, Eckert number and chemical reaction parameter, which provide excellent correlation with the previous results.","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89200786","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}
. In this article, the governing equations of a homogeneous, isotropic micropolar micro-stretch elastic solid for xz-plane are considered and solved for surface wave propagation. Two types of frequency equations for Rayleigh waves are derived, in which one is along the free surface of micropolar micro-stretch elastic solid half space and another is at viscous liquid/micropolar micro-stretch solid interface. These are dispersive in nature. In the study of some particular cases, we observed that four types of Rayleigh waves are propagate, out of these, two waves are at free surface of generalized micropolar solid and micro-stretch solid and another two types of waves are at interface of viscous liquid/non-microstretch solid. In these four waves, three Rayleigh waves are dependent on solid density and one of them is non-dispersive in nature. Numerical example is considered for a particular solid and viscous liquid layer and the frequency curves are drawn and discussed with the help of M ATLAB programme.
{"title":"Rayleigh Wave Propagation at Viscous Liquid/Micropolar Micro-stretch Elastic Solid","authors":"K. Somaiah, A. R. Kumar","doi":"10.26713/cma.v14i1.1935","DOIUrl":"https://doi.org/10.26713/cma.v14i1.1935","url":null,"abstract":". In this article, the governing equations of a homogeneous, isotropic micropolar micro-stretch elastic solid for xz-plane are considered and solved for surface wave propagation. Two types of frequency equations for Rayleigh waves are derived, in which one is along the free surface of micropolar micro-stretch elastic solid half space and another is at viscous liquid/micropolar micro-stretch solid interface. These are dispersive in nature. In the study of some particular cases, we observed that four types of Rayleigh waves are propagate, out of these, two waves are at free surface of generalized micropolar solid and micro-stretch solid and another two types of waves are at interface of viscous liquid/non-microstretch solid. In these four waves, three Rayleigh waves are dependent on solid density and one of them is non-dispersive in nature. Numerical example is considered for a particular solid and viscous liquid layer and the frequency curves are drawn and discussed with the help of M ATLAB programme.","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83380776","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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