Pub Date : 2022-02-23DOI: 10.30546/1683-6154.22.1.2023.80
Dae San Kim, Taekyun Kim
Let P be the set of the sequence of polynomials of degree n. The aim of this paper is to study the Stirling numbers of the second kind associated with P and of the first kind associated with P, in a unified and systematic way with the help of umbral calculus technique. Our results are illustrated with many examples which give rise to interesting inverse relations in each case.
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Pub Date : 2022-01-01DOI: 10.11648/j.acm.20221102.11
Jyh-Haw Tang, C. Feng
{"title":"A Unified Singular Solution of Laplace’s Equation with Neumann and Dirichlet Boundary Conditions","authors":"Jyh-Haw Tang, C. Feng","doi":"10.11648/j.acm.20221102.11","DOIUrl":"https://doi.org/10.11648/j.acm.20221102.11","url":null,"abstract":"","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":"123 1","pages":""},"PeriodicalIF":10.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86423084","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.30546/1683-6154.21.3.2022.292
{"title":"Stability Analysis of Initially Imperfect Nanoshells Conveying Fluid Based on Nonlocal Strain Gradient Theory","authors":"","doi":"10.30546/1683-6154.21.3.2022.292","DOIUrl":"https://doi.org/10.30546/1683-6154.21.3.2022.292","url":null,"abstract":"","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":"1 1","pages":""},"PeriodicalIF":10.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78327152","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.30546/1683-6154.21.3.2022.279
{"title":"Existence Results for a Conformable Type Dirac System on Time Scales in Quantum Physics","authors":"","doi":"10.30546/1683-6154.21.3.2022.279","DOIUrl":"https://doi.org/10.30546/1683-6154.21.3.2022.279","url":null,"abstract":"","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":"35 1","pages":""},"PeriodicalIF":10.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89880153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.11648/j.acm.20221102.13
Mofreh Ramadan Zaghloul
{"title":"A Simple Reform for Treating the Loss of Accuracy of Humlíček’s W4 Algorithm Near the Real Axis","authors":"Mofreh Ramadan Zaghloul","doi":"10.11648/j.acm.20221102.13","DOIUrl":"https://doi.org/10.11648/j.acm.20221102.13","url":null,"abstract":"","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":"73 ","pages":""},"PeriodicalIF":10.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72428935","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.30546/1683-6154.21.3.2022.233
{"title":"Applications of Intelligent Optimization Algorithms and Fuzzy Logic Systems in Aerospace: A Review","authors":"","doi":"10.30546/1683-6154.21.3.2022.233","DOIUrl":"https://doi.org/10.30546/1683-6154.21.3.2022.233","url":null,"abstract":"","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":"7 1","pages":""},"PeriodicalIF":10.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88848120","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.30546/1683-6154.21.3.2022.259
{"title":"A New Application of the Traveling Salesman Problem: The Turkish Cashier Problem","authors":"","doi":"10.30546/1683-6154.21.3.2022.259","DOIUrl":"https://doi.org/10.30546/1683-6154.21.3.2022.259","url":null,"abstract":"","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":"44 1","pages":""},"PeriodicalIF":10.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77712035","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.11648/j.acm.20221101.12
Yamina Soula, Abdel Kaddous Taha, D. Fournier-Prunaret, N. Hamri
{"title":"Bifurcations and Dynamical Behavior of 2D Coupled Chaotic Sine Maps","authors":"Yamina Soula, Abdel Kaddous Taha, D. Fournier-Prunaret, N. Hamri","doi":"10.11648/j.acm.20221101.12","DOIUrl":"https://doi.org/10.11648/j.acm.20221101.12","url":null,"abstract":"","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":"34 1","pages":""},"PeriodicalIF":10.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88491782","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.30546/1683-6154.21.3.2022.269
{"title":"A Numerical Technique of the Time Fractional Gas Dynamics Equation Using Finite Element Approach with Cubic Hermit Element","authors":"","doi":"10.30546/1683-6154.21.3.2022.269","DOIUrl":"https://doi.org/10.30546/1683-6154.21.3.2022.269","url":null,"abstract":"","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":"55 1","pages":""},"PeriodicalIF":10.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83642702","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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