The computational analysis of reactive MHD third grade fluid in an electrically conductive cylindrical channel with axial Magnetic field is carried out in this study. The weighted residual collocation method is used as a computational method of solution and a parametric study of the influence of various thermosphysical parameter is conducted and it was observed that critical values of the Frank–Kamenetskii and the third grade parameter exist for which the solution seizes to be unique.
{"title":"A NUMERICAL STUDY OF REACTIVE MHD FLOW OF THIRD GRADE FLUID","authors":"G. T. Okedayo, B. Obi, O. Olawuyi","doi":"10.15864/jmscm.1101","DOIUrl":"https://doi.org/10.15864/jmscm.1101","url":null,"abstract":"The computational analysis of reactive MHD third grade fluid in an electrically conductive cylindrical channel with axial Magnetic field is carried out in this study. The weighted residual collocation method is used as a computational method of solution and a parametric study of the\u0000 influence of various thermosphysical parameter is conducted and it was observed that critical values of the Frank–Kamenetskii and the third grade parameter exist for which the solution seizes to be unique.","PeriodicalId":270881,"journal":{"name":"Journal of Mathematical Sciences & Computational Mathematics","volume":"138 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123323083","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}
J. Pal, M. Debbarma, N. Debbarma, Paulami Basu Mallik, K. P. Ghatak
In this paper we study the Einstein relation for the diffusivity mobility ratio (DMR) under magnetic quantization in III-V, II-VI, IV-VI and HgTe/CdTe SLs with graded interfaces by formulating the appropriate electron statistics. We have also investigated the DMR in III-V, II-VI, IV-VI and HgTe/CdTe effective mass SLs in the presence of quantizing magnetic field respectively. The DMRs in quantum wire GaAs/Ga1-xAlxAs, CdS/CdTe, PbTe/PbSnTe and HgTe/CdTe SLs and the corresponding effective mass SLs have further been studied. It appears that the DMR oscillates both with inverse quantizing magnetic field and electron concentration for GaAs/Ga1-xAlxAs, CdS/CdTe, PbTe/PbSnTe and HgTe/CdTe superlattices with graded interfaces. The DMR decreases with increasing film thickness and decreasing electron concentration for the said superlattices under 2D quantization of wave vector space.
{"title":"Field Aided Semiconductor Superlattices, the Einstein Relation and All That","authors":"J. Pal, M. Debbarma, N. Debbarma, Paulami Basu Mallik, K. P. Ghatak","doi":"10.15864/jmscm.1110","DOIUrl":"https://doi.org/10.15864/jmscm.1110","url":null,"abstract":"In this paper we study the Einstein relation for the diffusivity mobility ratio (DMR) under magnetic quantization in III-V, II-VI, IV-VI and HgTe/CdTe SLs with graded interfaces by formulating the appropriate electron statistics. We have also investigated the DMR in III-V, II-VI, IV-VI\u0000 and HgTe/CdTe effective mass SLs in the presence of quantizing magnetic field respectively. The DMRs in quantum wire GaAs/Ga1-xAlxAs, CdS/CdTe, PbTe/PbSnTe and HgTe/CdTe SLs and the corresponding effective mass SLs have further been studied. It appears that the DMR oscillates\u0000 both with inverse quantizing magnetic field and electron concentration for GaAs/Ga1-xAlxAs, CdS/CdTe, PbTe/PbSnTe and HgTe/CdTe superlattices with graded interfaces. The DMR decreases with increasing film thickness and decreasing electron concentration for the said superlattices\u0000 under 2D quantization of wave vector space.","PeriodicalId":270881,"journal":{"name":"Journal of Mathematical Sciences & Computational Mathematics","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128397494","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}
Artificial Neural Networking or ANN is the way by which computers can mimic the biological nervous system by building a huge number of simulated neurons, which are joined together in a number of ways to form networks. A neural network has multiple processors instead of just one central processor and thus is very task efficient. They cannot be made to perform a specific task because they learn via experience, which is unlike any other computer processor. They follow certain learning laws while receiving feedback from the environment. This paper gives an overview of Artificial Neural Network, its working and training.
{"title":"ARTIFICIAL NEURAL NETWORK","authors":"Mohammad Ehteshamullah","doi":"10.15864/jmscm.1104","DOIUrl":"https://doi.org/10.15864/jmscm.1104","url":null,"abstract":"Artificial Neural Networking or ANN is the way by which computers can mimic the biological nervous system by building a huge number of simulated neurons, which are joined together in a number of ways to form networks. A neural network has multiple processors instead of just one central\u0000 processor and thus is very task efficient. They cannot be made to perform a specific task because they learn via experience, which is unlike any other computer processor. They follow certain learning laws while receiving feedback from the environment. This paper gives an overview of Artificial\u0000 Neural Network, its working and training.","PeriodicalId":270881,"journal":{"name":"Journal of Mathematical Sciences & Computational Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122195901","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 paper, we propose to design a framework to analyze what should be the playing eleven of a particular squad. The framework designed uses data mining to find out the player statistics and hence helps to choose the best possible playing eleven on the basis of the pitch. This is done by creating a rank system on the basis of strike rate, economy rate, average runs, wickets taken of each player. Then we analyze their performance with the help of the designed framework and find out the best playing eleven. Henceforth, the paper provides a method to find out the best possible team when pitch conditions are provided by the user.
{"title":"A novel approach for selecting the potentially best performing team in IPL","authors":"Sannoy Mitra, Tiyash Patra, Raima Ghosh","doi":"10.15864/jmscm.1107","DOIUrl":"https://doi.org/10.15864/jmscm.1107","url":null,"abstract":"In this paper, we propose to design a framework to analyze what should be the playing eleven of a particular squad. The framework designed uses data mining to find out the player statistics and hence helps to choose the best possible playing eleven on the basis of the pitch. This is\u0000 done by creating a rank system on the basis of strike rate, economy rate, average runs, wickets taken of each player. Then we analyze their performance with the help of the designed framework and find out the best playing eleven. Henceforth, the paper provides a method to find out the best\u0000 possible team when pitch conditions are provided by the user.","PeriodicalId":270881,"journal":{"name":"Journal of Mathematical Sciences & Computational Mathematics","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114211308","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 work, two new subclasses of bi-univalent functions MΣn(α, λ) and MΣn(λ, β) using the Salagean differential operator are discussed. The coefficients estimates for |a2| and |a3| and the upper bounds for the Fekete-Szego functionals for functions belonging to the classes are obtained. Results obtained generalized some known results.Mathematical Subject Classification (2010): 30C45.
{"title":"ON SOME NEW SUBCLASSES OF BI-UNIVALENT FUNCTIONS DEFINED BY SALAGEAN OPERATOR","authors":"E. Mazi, E. C. Godwin, T. Opoola","doi":"10.15864/jmscm.1102","DOIUrl":"https://doi.org/10.15864/jmscm.1102","url":null,"abstract":"In this work, two new subclasses of bi-univalent functions MΣn(α, λ) and MΣn(λ, β) using the Salagean differential operator are discussed. The coefficients estimates for |a2| and |a3| and the upper bounds for the Fekete-Szego functionals for functions belonging to the classes are obtained. Results obtained generalized some known results.Mathematical Subject Classification (2010): 30C45.","PeriodicalId":270881,"journal":{"name":"Journal of Mathematical Sciences & Computational Mathematics","volume":"89 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122530303","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 attempt is made to show how an important mathematical constant (namely Π), in use for ages, is evaluated computers are used, no doubt, but what is the philosophy behind the program created to carry out the evaluation (to any specified degree of accuracy). The discussion focuses on what exactly is (or are) the cornerstone(s) of such programs.
{"title":"PI, REVISITED","authors":"Ayan Chatterjee","doi":"10.15864/jmscm.1106","DOIUrl":"https://doi.org/10.15864/jmscm.1106","url":null,"abstract":"An attempt is made to show how an important mathematical constant (namely Π), in use for ages, is evaluated computers are used, no doubt, but what is the philosophy behind the program created to carry out the evaluation (to any specified degree of accuracy). The discussion\u0000 focuses on what exactly is (or are) the cornerstone(s) of such programs.","PeriodicalId":270881,"journal":{"name":"Journal of Mathematical Sciences & Computational Mathematics","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128708530","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":"APPLICATION OF ZZ-TRANSFORM WITH HOMOTOPY PERTURBATION METHOD FOR SOLVING HIGHER-ORDER BOUNDARY VALUE PROBLEMS","authors":"","doi":"10.15864/jmscm.3111","DOIUrl":"https://doi.org/10.15864/jmscm.3111","url":null,"abstract":"","PeriodicalId":270881,"journal":{"name":"Journal of Mathematical Sciences & Computational Mathematics","volume":"83 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124600814","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":"THERMAL RADIATION EFFECTS ON MHD UNSTEADY COUETTE FLOW HEAT AND MASS TRANSFER FREE CONVECTIVE IN VERTICAL CHANNELS DUE TO RAMPED AND ISOTHERMAL TEMPERATURE","authors":"","doi":"10.15864/jmscm.3109","DOIUrl":"https://doi.org/10.15864/jmscm.3109","url":null,"abstract":"","PeriodicalId":270881,"journal":{"name":"Journal of Mathematical Sciences & Computational Mathematics","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114120813","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":"ANALYSIS OF HEAT TRANSFER IN SISKO NANOFLUID OVER NON LINEAR SHEET WITH\u0000SUCTION AND INJECTION","authors":"","doi":"10.15864/jmscm.3208","DOIUrl":"https://doi.org/10.15864/jmscm.3208","url":null,"abstract":"","PeriodicalId":270881,"journal":{"name":"Journal of Mathematical Sciences & Computational Mathematics","volume":"19 8","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134004484","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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