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Fitted finite difference method for third order singularly perturbed convection diffusion equations with integral boundary condition 具有积分边界条件的三阶奇摄动对流扩散方程的拟合有限差分法
Arab Journal of Mathematical Sciences Pub Date : 2019-07-01 Epub Date: 2018-11-12 DOI: 10.1016/j.ajmsc.2018.10.002
Velusamy Raja, Ayyadurai Tamilselvan
{"title":"Fitted finite difference method for third order singularly perturbed convection diffusion equations with integral boundary condition","authors":"Velusamy Raja,&nbsp;Ayyadurai Tamilselvan","doi":"10.1016/j.ajmsc.2018.10.002","DOIUrl":"10.1016/j.ajmsc.2018.10.002","url":null,"abstract":"<div><p>A class of third order singularly perturbed convection diffusion type equations with integral boundary condition is considered. A numerical method based on a finite difference scheme on a Shishkin mesh is presented. The method suggested is of almost first order convergent. An error estimate is derived in the discrete norm. Numerical examples are presented, which validate the theoretical estimates.</p></div>","PeriodicalId":36840,"journal":{"name":"Arab Journal of Mathematical Sciences","volume":"25 2","pages":"Pages 231-242"},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.ajmsc.2018.10.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46172358","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
Coupled fixed points and coupled best proximity points for cyclic Ćirić type operators 循环Ćirić型算子的耦合不动点和耦合最佳邻近点
Arab Journal of Mathematical Sciences Pub Date : 2019-05-22 DOI: 10.1016/J.AJMSC.2019.05.002
Adrian Magdaș
{"title":"Coupled fixed points and coupled best proximity points for cyclic Ćirić type operators","authors":"Adrian Magdaș","doi":"10.1016/J.AJMSC.2019.05.002","DOIUrl":"https://doi.org/10.1016/J.AJMSC.2019.05.002","url":null,"abstract":"","PeriodicalId":36840,"journal":{"name":"Arab Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/J.AJMSC.2019.05.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47349703","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 of self-similar solutions of the two-dimensional Navier–Stokes equation for non-Newtonian fluids 非牛顿流体二维Navier-Stokes方程自相似解的存在性
Arab Journal of Mathematical Sciences Pub Date : 2019-04-20 DOI: 10.1016/J.AJMSC.2019.04.001
Dongming Wei, S. Al-Ashhab
{"title":"Existence of self-similar solutions of the two-dimensional Navier–Stokes equation for non-Newtonian fluids","authors":"Dongming Wei, S. Al-Ashhab","doi":"10.1016/J.AJMSC.2019.04.001","DOIUrl":"https://doi.org/10.1016/J.AJMSC.2019.04.001","url":null,"abstract":"","PeriodicalId":36840,"journal":{"name":"Arab Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/J.AJMSC.2019.04.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45128647","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: 5
Reconstruction of a homogeneous polynomial from its additive decompositions when identifiability fails 可识别性失效时齐次多项式的可加分解重构
Arab Journal of Mathematical Sciences Pub Date : 2019-03-25 DOI: 10.1016/j.ajmsc.2019.09.001
E. Ballico
{"title":"Reconstruction of a homogeneous polynomial from its additive decompositions when identifiability fails","authors":"E. Ballico","doi":"10.1016/j.ajmsc.2019.09.001","DOIUrl":"https://doi.org/10.1016/j.ajmsc.2019.09.001","url":null,"abstract":"","PeriodicalId":36840,"journal":{"name":"Arab Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.ajmsc.2019.09.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49017461","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
Remarks on the critical nonlinear high-order heat equation 临界非线性高阶热方程的注释
Arab Journal of Mathematical Sciences Pub Date : 2019-03-15 DOI: 10.1016/J.AJMSC.2019.03.002
T. Saanouni
{"title":"Remarks on the critical nonlinear high-order heat equation","authors":"T. Saanouni","doi":"10.1016/J.AJMSC.2019.03.002","DOIUrl":"https://doi.org/10.1016/J.AJMSC.2019.03.002","url":null,"abstract":"","PeriodicalId":36840,"journal":{"name":"Arab Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/J.AJMSC.2019.03.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43146192","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
On abstract Hilfer fractional integrodifferential equations with boundary conditions 具有边界条件的抽象Hilfer分数阶积分微分方程
Arab Journal of Mathematical Sciences Pub Date : 2019-03-14 DOI: 10.1016/J.AJMSC.2019.03.001
S. T. Thabet, B. Ahmad, R. Agarwal
{"title":"On abstract Hilfer fractional integrodifferential equations with boundary conditions","authors":"S. T. Thabet, B. Ahmad, R. Agarwal","doi":"10.1016/J.AJMSC.2019.03.001","DOIUrl":"https://doi.org/10.1016/J.AJMSC.2019.03.001","url":null,"abstract":"","PeriodicalId":36840,"journal":{"name":"Arab Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/J.AJMSC.2019.03.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43015694","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: 18
The implicit midpoint rule for nonexpansive mappings in 2-uniformly convex hyperbolic spaces 2-一致凸双曲空间中非扩张映射的隐式中点规则
Arab Journal of Mathematical Sciences Pub Date : 2019-02-22 DOI: 10.1016/J.AJMSC.2019.02.002
H. Fukhar-ud-din, A. Khan
{"title":"The implicit midpoint rule for nonexpansive mappings in 2-uniformly convex hyperbolic spaces","authors":"H. Fukhar-ud-din, A. Khan","doi":"10.1016/J.AJMSC.2019.02.002","DOIUrl":"https://doi.org/10.1016/J.AJMSC.2019.02.002","url":null,"abstract":"","PeriodicalId":36840,"journal":{"name":"Arab Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/J.AJMSC.2019.02.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49582112","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
Approximation of fixed point of multivalued ρ-quasi-contractive mappings in modular function spaces 模函数空间中多值ρ-拟压缩映射不动点的逼近
Arab Journal of Mathematical Sciences Pub Date : 2019-02-08 DOI: 10.1016/J.AJMSC.2019.02.001
G. A. Okeke, S. H. Khan
{"title":"Approximation of fixed point of multivalued ρ-quasi-contractive mappings in modular function spaces","authors":"G. A. Okeke, S. H. Khan","doi":"10.1016/J.AJMSC.2019.02.001","DOIUrl":"https://doi.org/10.1016/J.AJMSC.2019.02.001","url":null,"abstract":"","PeriodicalId":36840,"journal":{"name":"Arab Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/J.AJMSC.2019.02.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45996527","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: 12
Unbalanced multi-drawing urn with random addition matrix 具有随机加法矩阵的不平衡多图urn
Arab Journal of Mathematical Sciences Pub Date : 2019-01-11 DOI: 10.1016/J.AJMSC.2018.12.004
A. Rafik, Selmi Olfa
{"title":"Unbalanced multi-drawing urn with random addition matrix","authors":"A. Rafik, Selmi Olfa","doi":"10.1016/J.AJMSC.2018.12.004","DOIUrl":"https://doi.org/10.1016/J.AJMSC.2018.12.004","url":null,"abstract":"","PeriodicalId":36840,"journal":{"name":"Arab Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/J.AJMSC.2018.12.004","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49574558","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: 6
Geometry of left-invariant Randers metric on the Heisenberg groups Heisenberg群上左不变Randers度规的几何
Arab Journal of Mathematical Sciences Pub Date : 2019-01-07 DOI: 10.1108/ajms-01-2021-0015
Gh. Fasihi-Ramandi, S. Azami
{"title":"Geometry of left-invariant Randers metric on the Heisenberg groups","authors":"Gh. Fasihi-Ramandi, S. Azami","doi":"10.1108/ajms-01-2021-0015","DOIUrl":"https://doi.org/10.1108/ajms-01-2021-0015","url":null,"abstract":"PurposeIn this paper, we consider the Heisenberg groups which play a crucial role in both geometry and theoretical physics.Design/methodology/approachIn the first part, we retrieve the geometry of left-invariant Randers metrics on the Heisenberg group H2n+1, of dimension 2n + 1. Considering a left-invariant Randers metric, we give the Levi-Civita connection, curvature tensor, Ricci tensor and scalar curvature and show the Heisenberg groups H2n+1 have constant negative scalar curvature.FindingsIn the second part, we present our main results. We show that the Heisenberg group H2n+1 cannot admit Randers metric of Berwald and Ricci-quadratic Douglas types. Finally, the flag curvature of Z-Randers metrics in some special directions is obtained which shows that there exist flags of strictly negative and strictly positive curvatures.Originality/valueIn this work, we present complete Reimannian geometry of left invarint-metrics on Heisenberg groups. Also, some geometric properties of left-invarainat Randers metrics will be studied.","PeriodicalId":36840,"journal":{"name":"Arab Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46917100","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: 1
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