Pub Date : 2022-10-10DOI: 10.18642/jpamaa_7100122233
A. Berhanu, A. Mihret, T. Gerima
The concept of Distributive Fuzzy Lattice with a finite chain base is introduced and we prove basic properties about Necessary and sufficient conditions for characterization of monotone and disjoint representations of an element x in are investigated.
引入了有限链基分配模糊格的概念，证明了元素x的单调和不相交表示的充要条件的基本性质。
{"title":"P0-ALMOST DISTRIBUTIVE FUZZY LATTICE","authors":"A. Berhanu, A. Mihret, T. Gerima","doi":"10.18642/jpamaa_7100122233","DOIUrl":"https://doi.org/10.18642/jpamaa_7100122233","url":null,"abstract":"The concept of Distributive Fuzzy Lattice with a finite chain base is introduced and we prove basic properties about Necessary and sufficient conditions for characterization of monotone and disjoint representations of an element x in are investigated.","PeriodicalId":444144,"journal":{"name":"Journal of Pure and Applied Mathematics: Advances and Applications","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126072321","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}
Pub Date : 2021-10-10DOI: 10.18642/jpamaa_7100122208
E. Elsayed, N. Alotaibi
In this article, we investigate the dynamics and behaviour of the difference equation Since are constants and the initial conditions and are arbitrary positive real numbers. Moreover, we obtain the expressions of the solutions of four special cases of that equation.
{"title":"THE PATTERN AND CONDUCT OF THE SOLUTIONS OF CERTAIN NONLINEAR DIFFERENCE EQUATIONS","authors":"E. Elsayed, N. Alotaibi","doi":"10.18642/jpamaa_7100122208","DOIUrl":"https://doi.org/10.18642/jpamaa_7100122208","url":null,"abstract":"In this article, we investigate the dynamics and behaviour of the difference equation Since are constants and the initial conditions and are arbitrary positive real numbers. Moreover, we obtain the expressions of the solutions of four special cases of that equation.","PeriodicalId":444144,"journal":{"name":"Journal of Pure and Applied Mathematics: Advances and Applications","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131813916","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}
Nonlinear systems of convection-dominated diffusion equations are used as the mathematical model of contamination transport problem which is an important topic in environ mental protection science. An elliptic equation defines the pressure, a convection-diffusion equation expresses the concentration of contamination, and an ordinary differential equation interprets the surface absorption concentration. The transport pressure appears in the equation of the concentration which determines the Darcy velocity and also controls the physical process. The method of conservative mixed volume element is used to solve the flow equation which improves the computational accuracy of Darcy velocity by one order. We use the mixed volume element with the characteristic to approximate the concentration. This method of characteristic not only preserves the strong computational stability at sharp front, but also eliminates numerical dispersion and nonphysical oscillation. In the present scheme, we could adopt a large step without losing accuracy. The diffusion is approximated by the mixed volume element. The concentration and its adjoint vector function are obtained simultaneously, and the locally conservative law is preserved. An optimal second order estimates in l2-norm is derived.
{"title":"A MIXED VOLUME ELEMENT WITH CHARACTERISTIC MIXED VOLUME ELEMENT FOR CONTAMINATION TRANSPORT PROBLEM","authors":"Yirang Yuan, Changfeng Li, Huailing Song, T. Sun","doi":"10.5539/jmr.v12n5p1","DOIUrl":"https://doi.org/10.5539/jmr.v12n5p1","url":null,"abstract":"Nonlinear systems of convection-dominated diffusion equations are used as the mathematical model of contamination transport problem which is an important topic in environ mental protection science. An elliptic equation defines the pressure, a convection-diffusion equation expresses the concentration of contamination, and an ordinary differential equation interprets the surface absorption concentration. The transport pressure appears in the equation of the concentration which determines the Darcy velocity and also controls the physical process. The method of conservative mixed volume element is used to solve the flow equation which improves the computational accuracy of Darcy velocity by one order. We use the mixed volume element with the characteristic to approximate the concentration. This method of characteristic not only preserves the strong computational stability at sharp front, but also eliminates numerical dispersion and nonphysical oscillation. In the present scheme, we could adopt a large step without losing accuracy. The diffusion is approximated by the mixed volume element. The concentration and its adjoint vector function are obtained simultaneously, and the locally conservative law is preserved. An optimal second order estimates in l2-norm is derived.","PeriodicalId":444144,"journal":{"name":"Journal of Pure and Applied Mathematics: Advances and Applications","volume":"322 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115840734","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}
Pub Date : 2019-12-09DOI: 10.18642/jpamaa_7100122087
Houédanou Koffi Wilfrid
{"title":"RESIDUAL-BASED A POSTERIORI ERROR ESTIMATES FOR A CONFORMING FINITE ELEMENT DISCRETIZATION OF THE STOKES-DARCY COUPLED PROBLEM","authors":"Houédanou Koffi Wilfrid","doi":"10.18642/jpamaa_7100122087","DOIUrl":"https://doi.org/10.18642/jpamaa_7100122087","url":null,"abstract":"","PeriodicalId":444144,"journal":{"name":"Journal of Pure and Applied Mathematics: Advances and Applications","volume":"104 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133626724","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}
Pub Date : 2019-12-09DOI: 10.18642/jpamaa_7100122085
M. Mirmiran
Necessary and sufficient conditions in terms of lower cut sets are given for the strong insertion of a Baire-.5 function between two comparable real-valued functions on the topological spaces that Fσ−kernel of sets are Fσ−sets. M.S.C. 2010: 26A15, 54C30.
{"title":"STRONG INSERTION OF A CONTRA-BAIRE-1 (BAIRE-.5) FUNCTION","authors":"M. Mirmiran","doi":"10.18642/jpamaa_7100122085","DOIUrl":"https://doi.org/10.18642/jpamaa_7100122085","url":null,"abstract":"Necessary and sufficient conditions in terms of lower cut sets are given for the strong insertion of a Baire-.5 function between two comparable real-valued functions on the topological spaces that Fσ−kernel of sets are Fσ−sets. M.S.C. 2010: 26A15, 54C30.","PeriodicalId":444144,"journal":{"name":"Journal of Pure and Applied Mathematics: Advances and Applications","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126526881","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}
Pub Date : 2019-09-10DOI: 10.18642/jmsaa_7100122094
C. Seck
{"title":"EXACT CONTROLLABILITY OF THE HEAT EQUATION IN ANY DIMENSION BY ACTUATORS STRATEGIC AREAS","authors":"C. Seck","doi":"10.18642/jmsaa_7100122094","DOIUrl":"https://doi.org/10.18642/jmsaa_7100122094","url":null,"abstract":"","PeriodicalId":444144,"journal":{"name":"Journal of Pure and Applied Mathematics: Advances and Applications","volume":"81 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122899107","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}
Pub Date : 2019-09-10DOI: 10.18642/jmsaa_7100122098
Xiao-lu Ren
{"title":"HOMOCLINIC ORBIT FOR A FOURTH-ORDER SYSTEM","authors":"Xiao-lu Ren","doi":"10.18642/jmsaa_7100122098","DOIUrl":"https://doi.org/10.18642/jmsaa_7100122098","url":null,"abstract":"","PeriodicalId":444144,"journal":{"name":"Journal of Pure and Applied Mathematics: Advances and Applications","volume":"48 2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123514007","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}
Pub Date : 2019-09-10DOI: 10.18642/jpamaa_7100122086
Fan Feng, Xue-bin Chi, Zifa Wang, Jinrong Jiang, Lin Wu, Jie Li, Yuzhu Wang, Guofeng Zhou, Xipeng Li, S. See
Chemistry-Transport Model (CTM) plays an important role in the air pollution prevention and control. Their general applications such as forecast and prevention of heavy pollution demand highly efficient CTM simulations. The gas-phase chemistry module is always the most computationally intensive module of a CTM. The main reason is that solving the stiff chemical ordinary differential equations (ODEs) of the gas-phase chemistry module consumes most of the computation time. Here we use the Nested Air Quality Prediction Modelling System (NAQPMS) as the CTM and CBM-Z mechanism as its gasphase chemistry module. CBM-Z adopts the popular Livermore Solver for Ordinary Differential Equations (LSODE) to solve the chemical ODEs. However, LSODE does not adapt to the parallel acceleration due to its complicated matrix iteration and complex code. In our previous work, we have designed an efficient chemical solver Modified-Backward-Euler (MBE) to improve the simulation speed and precision. In this paper, we review MBE algorithm, show its intrinsic parallelism and port the CBM-Z module with MBE solver on the CPU-GPU architecture to accelerate the NAQPMS further.
{"title":"CPU-GPU ACCELERATION OF THE AIR POLLUTION FORECAST SYSTEM WITH AN EFFICIENT PARALLEL CHEMICAL SOLVER","authors":"Fan Feng, Xue-bin Chi, Zifa Wang, Jinrong Jiang, Lin Wu, Jie Li, Yuzhu Wang, Guofeng Zhou, Xipeng Li, S. See","doi":"10.18642/jpamaa_7100122086","DOIUrl":"https://doi.org/10.18642/jpamaa_7100122086","url":null,"abstract":"Chemistry-Transport Model (CTM) plays an important role in the air pollution prevention and control. Their general applications such as forecast and prevention of heavy pollution demand highly efficient CTM simulations. The gas-phase chemistry module is always the most computationally intensive module of a CTM. The main reason is that solving the stiff chemical ordinary differential equations (ODEs) of the gas-phase chemistry module consumes most of the computation time. Here we use the Nested Air Quality Prediction Modelling System (NAQPMS) as the CTM and CBM-Z mechanism as its gasphase chemistry module. CBM-Z adopts the popular Livermore Solver for Ordinary Differential Equations (LSODE) to solve the chemical ODEs. However, LSODE does not adapt to the parallel acceleration due to its complicated matrix iteration and complex code. In our previous work, we have designed an efficient chemical solver Modified-Backward-Euler (MBE) to improve the simulation speed and precision. In this paper, we review MBE algorithm, show its intrinsic parallelism and port the CBM-Z module with MBE solver on the CPU-GPU architecture to accelerate the NAQPMS further.","PeriodicalId":444144,"journal":{"name":"Journal of Pure and Applied Mathematics: Advances and Applications","volume":"637 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121987417","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}
Pub Date : 2019-06-20DOI: 10.18642/jpamaa_7100122061
Xianghu Liu, Yanfang Li, Guangjun Xu
{"title":"THE CONVERGENCE ANALYSIS OF ITERATIVE LEARNING CONTROL FOR RIEMANN-LIOUVILLE FRACTIONAL SYSTEM","authors":"Xianghu Liu, Yanfang Li, Guangjun Xu","doi":"10.18642/jpamaa_7100122061","DOIUrl":"https://doi.org/10.18642/jpamaa_7100122061","url":null,"abstract":"","PeriodicalId":444144,"journal":{"name":"Journal of Pure and Applied Mathematics: Advances and Applications","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129016384","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}
Pub Date : 2019-06-20DOI: 10.18642/jpamaa_7100122039
Lizhong Xu, Peini Yao
Radial size of two-step sinusoidal movable tooth drive is small, especially suitable for robot arm and other technical fields requiring compacting. However, as the size of the drive decreases, the lubrication state of the meshing pair becomes worse and should be improved. In this paper, the minimum oil film thickness of the elastic hydrodynamic lubrication for the drive system is investigated by determining the suction velocity of the moving pair, the radius of curvature and the load per unit length. The influence of the drive parameters on the minimum oil film thickness is analyzed. Results show that the minimum oil film thickness of the drive system can be increased by increasing the eccentric distance of the eccentric wheel, center distance between the movable tooth and the eccentric wheel, and radius of the movable tooth. The good lubrication state can be achieved by using proper tooth surface processing technology. LIZHONG XU and PEINI YAO 62
{"title":"ELASTIC HYDRODYNAMIC LUBRICATION OF TWO-STEP SINE MOVABLE TOOTH DRIVE","authors":"Lizhong Xu, Peini Yao","doi":"10.18642/jpamaa_7100122039","DOIUrl":"https://doi.org/10.18642/jpamaa_7100122039","url":null,"abstract":"Radial size of two-step sinusoidal movable tooth drive is small, especially suitable for robot arm and other technical fields requiring compacting. However, as the size of the drive decreases, the lubrication state of the meshing pair becomes worse and should be improved. In this paper, the minimum oil film thickness of the elastic hydrodynamic lubrication for the drive system is investigated by determining the suction velocity of the moving pair, the radius of curvature and the load per unit length. The influence of the drive parameters on the minimum oil film thickness is analyzed. Results show that the minimum oil film thickness of the drive system can be increased by increasing the eccentric distance of the eccentric wheel, center distance between the movable tooth and the eccentric wheel, and radius of the movable tooth. The good lubrication state can be achieved by using proper tooth surface processing technology. LIZHONG XU and PEINI YAO 62","PeriodicalId":444144,"journal":{"name":"Journal of Pure and Applied Mathematics: Advances and Applications","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129228273","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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