https://ajouronline.com/index.php/AJFAM/issue/feed Asian Journal of Fuzzy and Applied Mathematics 2021-12-31T13:35:55+00:00 Managing Editor ajfam@ajouronline.com Open Journal Systems https://ajouronline.com/index.php/AJFAM/article/view/6805 Analytical Construction of Uniformly Convergent Method for Convection Diffusion Problem 2021-10-29T20:39:21+00:00 Ali Filiz afiliz67@gmail.com <p>In this paper, we study the uniformly convergent method on equidistant meshes for the convection-diffusion problem of type;</p> <p>where the formal adjoint operator of L.</p> <p><a href="https://ajouronline.com/index.php/AJFAM/workflow/index/6805/Lu=-εu''+bu'+c u=f(x), u(0)=0, u(1)=0">Lu=-εu''+bu'+c u=f(x), u(0)=0, u(1)=0</a></p> <p>At the end of the this paper we will generate the scheme;</p> <p><a href="https://ajouronline.com/index.php/AJFAM/workflow/index/6805/-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))">-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))</a></p> 2021-12-31T00:00:00+00:00 Copyright (c) 2021 Ali Filiz