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Algorithm for Solving Multi-Delay Optimal Control Problems Using Modified Alternating Direction Method of Multipliers 修正乘法器交替方向法求解多延迟最优控制问题的算法
Journal of Applied and Computational Mathematics Pub Date : 2020-01-01 DOI: 10.4172/2168-9679.1000445
O. Olotu, Dawodu Ka, Yusuf Tt
{"title":"Algorithm for Solving Multi-Delay Optimal Control Problems Using Modified Alternating Direction Method of Multipliers","authors":"O. Olotu, Dawodu Ka, Yusuf Tt","doi":"10.4172/2168-9679.1000445","DOIUrl":"https://doi.org/10.4172/2168-9679.1000445","url":null,"abstract":"This study presents an algorithm for solving Optimal Control Problems (OCPs) with objective function of the Lagrange-type and multiple delays on both the state and control variables of the constraints.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"37 1","pages":"1-9"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73814691","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: 2
An Efficient Solver of Eigenmodes for a Class of Complex Optical Waveguides 一类复杂光波导本征模的有效求解器
Journal of Applied and Computational Mathematics Pub Date : 2020-01-01 DOI: 10.37421/2168-9679.2020.9.449
Jianxin Zhu, L. Li
{"title":"An Efficient Solver of Eigenmodes for a Class of Complex Optical Waveguides","authors":"Jianxin Zhu, L. Li","doi":"10.37421/2168-9679.2020.9.449","DOIUrl":"https://doi.org/10.37421/2168-9679.2020.9.449","url":null,"abstract":"In this paper, for a class of complex optical waveguide, the high-precision computation of the propagation constants β are studied. The corresponding Sturm-Liouville (S-L) problem is represented as in an open domain (open on one side), where x is a given value. Firstly, a perfectly matched layer is used to terminate the open domain. Secondly, both the equation and the complex coordinate stretching transformations are constructed. Thirdly, the S-L problem is turned to a simplified form such as in a bounded domain. Finally, the coefficient function is approximated by a piecewise polynomial of degree two. Since the simplified equation in each layer can be solved analytically by the Kummer functions, the approximate dispersion equation is established to the TE case. When the coefficient function is continuous, the approximate solutions converge fast to the exact ones, as the maximum value of the subinterval sizes tends to zero. Numerical simulations show that high-precision eigenmodes may be obtained by the Muller's method with suitable initial values.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"50 1","pages":"1-6"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85804921","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
Existence and Uniqueness of Asymptotically w-Periodic Solution for Fractional Semilinear Problem 分数阶半线性问题渐近w周期解的存在唯一性
Journal of Applied and Computational Mathematics Pub Date : 2019-04-08 DOI: 10.4172/2168-9679.1000440
S. Maghsoodi, A. Neamaty
{"title":"Existence and Uniqueness of Asymptotically w-Periodic Solution for Fractional Semilinear Problem","authors":"S. Maghsoodi, A. Neamaty","doi":"10.4172/2168-9679.1000440","DOIUrl":"https://doi.org/10.4172/2168-9679.1000440","url":null,"abstract":"In this paper, we intend to show the fractional differential problem ( )= ( ) ( ) ( , ( )) t D u t A t u t f t u t α + , with condition 0<α<1, considered in a Banach space X, where A is a generator of evolution system U(t,s) and f is w-periodic limit function, has a unique asymptotically w-periodic solution.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"282 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76612843","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: 2
Uniqueness of Four Covering Arrays Equivalent to Error-Correcting Codes 等价于纠错码的四覆盖数组的唯一性
Journal of Applied and Computational Mathematics Pub Date : 2019-03-28 DOI: 10.4172/2168-9679.1000439
Jimenez Tj, Marquez
{"title":"Uniqueness of Four Covering Arrays Equivalent to Error-Correcting Codes","authors":"Jimenez Tj, Marquez","doi":"10.4172/2168-9679.1000439","DOIUrl":"https://doi.org/10.4172/2168-9679.1000439","url":null,"abstract":"A covering array CA(N;t,k,v) is an N × k array over v symbols where every N × t subarray contains as a row each t-tuple over v symbols at least once. Two covering arrays are isomorphic of one can be obtained from the other by permutations of rows, columns, and symbols in the columns. Isomorphic covering arrays form equivalence classes in the set of all CA(N;t,k,v). The problem of classifying covering arrays consists in generating one element of each isomorphism class; if there is only one isomorphism class, then CA(N;t,k,v) is unique. This work introduces two parallel versions of a previously reported algorithm to classify covering arrays. By using these algorithms we determine the uniqueness of the covering arrays CA(32;4,13,2), CA(64;5,14,2), CA(128;6,15,2), and CA(256;7,16,2). We also find that these four covering arrays are equivalent respectively to the unique error-correcting codes (13,32,6), (14,64,6), (15,128,6), and (16,256,6), where (n,M,d) denotes a code with word length n, M code words, and minimum distance d.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"69 1","pages":"1-5"},"PeriodicalIF":0.0,"publicationDate":"2019-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86419792","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 Fixed Point Theorems in G-metric Spaces g -度量空间中的新不动点定理
Journal of Applied and Computational Mathematics Pub Date : 2019-03-08 DOI: 10.4172/2168-9679.1000437
Abdullaev Gm
{"title":"New Fixed Point Theorems in G-metric Spaces","authors":"Abdullaev Gm","doi":"10.4172/2168-9679.1000437","DOIUrl":"https://doi.org/10.4172/2168-9679.1000437","url":null,"abstract":"We prove new theorems for generalized contractions in the setting of G-metric spaces. Our results extend some results of Moradlou and Aggarwal.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"142 1","pages":"1-4"},"PeriodicalIF":0.0,"publicationDate":"2019-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80611009","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
Rietveld Refinement: A Technique More than Just Identification Rietveld细化:一种不仅仅是识别的技术
Journal of Applied and Computational Mathematics Pub Date : 2019-01-01 DOI: 10.4172/2168-9679.1000432
Samal Sk
{"title":"Rietveld Refinement: A Technique More than Just Identification","authors":"Samal Sk","doi":"10.4172/2168-9679.1000432","DOIUrl":"https://doi.org/10.4172/2168-9679.1000432","url":null,"abstract":"Powder diffraction analysis and the data profile fitting represent the phase identification of a crystalline material which gives information about its unit cell dimensions. In a polycrystalline sample it is inevitable that certain information is lost as a result of the random orientation of the crystallites. So whole Pattern fitting Structure Refinement is now widely accepted to be an exceptionally valuable method for structural analysis of nearly all classes of crystalline materials not available as single crystals. Least squares approach which means manually refining a model to match experimental data can be said as Rietveld analysis which is an extended refinement analysis of a given diffraction data.","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"7 1","pages":"1-2"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86244948","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
Stabilization of a Class of Bilinear Systems in ℝ3 一类双线性系统的镇定性
Journal of Applied and Computational Mathematics Pub Date : 2019-01-01 DOI: 10.4172/2168-9679.1000433
T. K., Fehmi M
{"title":"Stabilization of a Class of Bilinear Systems in ℝ3","authors":"T. K., Fehmi M","doi":"10.4172/2168-9679.1000433","DOIUrl":"https://doi.org/10.4172/2168-9679.1000433","url":null,"abstract":"","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72750213","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
The Adsorbed Solute Transport with Diffusion Effects 溶质吸附输运与扩散效应
Journal of Applied and Computational Mathematics Pub Date : 2019-01-01 DOI: 10.4172/2168-9679.1000430
Khuzhayorov B, M. Z
{"title":"The Adsorbed Solute Transport with Diffusion Effects","authors":"Khuzhayorov B, M. Z","doi":"10.4172/2168-9679.1000430","DOIUrl":"https://doi.org/10.4172/2168-9679.1000430","url":null,"abstract":"","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"166 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76498152","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
Equivalences (i-MLD) of Tilings and Tiling Spaces 平铺与平铺空间的等价(i-MLD)
Journal of Applied and Computational Mathematics Pub Date : 2019-01-01 DOI: 10.4172/2168-9679.1000434
Alzahrani H
{"title":"Equivalences (i-MLD) of Tilings and Tiling Spaces","authors":"Alzahrani H","doi":"10.4172/2168-9679.1000434","DOIUrl":"https://doi.org/10.4172/2168-9679.1000434","url":null,"abstract":"","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74249330","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
The 1 Value Out of the Simple Fractions of 1 Alters the Present 9 Digits 1的简单分数的1值改变了现在的9位数字
Journal of Applied and Computational Mathematics Pub Date : 2019-01-01 DOI: 10.4172/21689679.1000431
K. Coj
{"title":"The 1 Value Out of the Simple Fractions of 1 Alters the Present 9 Digits","authors":"K. Coj","doi":"10.4172/21689679.1000431","DOIUrl":"https://doi.org/10.4172/21689679.1000431","url":null,"abstract":"","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"47 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80737920","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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