{"title":"Analytical Construction of Uniformly Convergent Method for Convection Diffusion Problem","authors":"A. Filiz","doi":"10.24203/ajfam.v9i3.6805","DOIUrl":null,"url":null,"abstract":"In this paper, we study the uniformly convergent method on equidistant meshes for the convection-diffusion problem of type;\nwhere the formal adjoint operator of L.\nLu=-εu''+bu'+c u=f(x), u(0)=0, u(1)=0\nAt the end of the this paper we will generate the scheme;\n-e^(ρ_i )/(e^(ρ_i )+1) U_(i-1)+U_i-1/(e^(ρ_i )+1) U_(i+1)=(f_i-c_i U_i ) h/b ((e^(ρ_i )-1)/(e^(ρ_i )+1))","PeriodicalId":446683,"journal":{"name":"Asian Journal of Fuzzy and Applied Mathematics","volume":"155 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Journal of Fuzzy and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24203/ajfam.v9i3.6805","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, we study the uniformly convergent method on equidistant meshes for the convection-diffusion problem of type;
where the formal adjoint operator of L.
Lu=-εu''+bu'+c u=f(x), u(0)=0, u(1)=0
At the end of the this paper we will generate the scheme;
-e^(ρ_i )/(e^(ρ_i )+1) U_(i-1)+U_i-1/(e^(ρ_i )+1) U_(i+1)=(f_i-c_i U_i ) h/b ((e^(ρ_i )-1)/(e^(ρ_i )+1))
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