{"title":"From Two to One Index Isomorphism in Optimization Program for Quarterly Disaggregation of Annual Times Series","authors":"Raïmi Aboudou Essessinou, G. Degla, B. Ndiaye","doi":"10.9734/jamcs/2019/v34i1-230199","DOIUrl":"https://doi.org/10.9734/jamcs/2019/v34i1-230199","url":null,"abstract":"The quarterly disaggregation of an annual economic aggregate, by a mathematical method with a cyclical indicator, gives rise to a problem of minimization to make the quarterly economic aggregate smooth. This involves two indexes for the quarter and the year, which sometimes can make the resolution algorithm less efficient if the problem is large. In this paper we propose a method of indexing quarterly variables based on an isomorphic transformation of a two-index program into a one-index program, in order to minimize the cost of the algorithm of resolution. This method of continuous indexing of variables, applied to national accounts, shows that the algorithm with a single index is more efficient than the algorithm with two indexes when solving the optimization program of the quarterly disaggregation.","PeriodicalId":256300,"journal":{"name":"Theory and Practice of Mathematics and Computer Science Vol. 8","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133736206","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":"MHD Oscillatory Flow of Jeffrey Fluid in an Indented Artery with Heat Source","authors":"K. W. Bunonyo, C. Israel-Cookey, E. Amos","doi":"10.9734/ARJOM/2017/37604","DOIUrl":"https://doi.org/10.9734/ARJOM/2017/37604","url":null,"abstract":"In this article we studied blood flow through an indented artery and assumed blood to be Jeffrey fluid. The study investigates the influence of heat transfer on the flow profile of Jeffrey fluid in an indented artery. Also, the formulated governing equations are transformed into coupled Bessel differential equation and solved analytically. The effects of various physical parameters such as Prandtl number of blood, , Grashof number, , Darcy number, , Hartmann number M, Reynolds number, , as well as the Jeffrey parameter, and a constant parameter, on the velocity profile and temperature profile. The results are discussed in detail with the graphs obtained using Mathematica version 10.3.","PeriodicalId":256300,"journal":{"name":"Theory and Practice of Mathematics and Computer Science Vol. 8","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116568351","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}