对流扩散问题一致收敛方法的解析构造

Asian Journal of Fuzzy and Applied Mathematics Pub Date : 2021-12-31 DOI:10.24203/ajfam.v9i3.6805

A. Filiz

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引用次数: 1

摘要

本文研究了一类对流扩散问题在等距网格上的一致收敛方法，其中l的形式伴随算子lu =-εu' +bu'+c u=f(x)， u(0)=0, u(1)=0。在本文的最后，我们将生成格式:-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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Analytical Construction of Uniformly Convergent Method for Convection Diffusion Problem

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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Asian Journal of Fuzzy and Applied Mathematics

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