TY - JOUR AU - Filiz, Ali PY - 2021/12/31 Y2 - 2024/03/28 TI - Analytical Construction of Uniformly Convergent Method for Convection Diffusion Problem JF - Asian Journal of Fuzzy and Applied Mathematics JA - AJFAM VL - 9 IS - 3 SE - Articles DO - 10.24203/ajfam.v9i3.6805 UR - https://ajouronline.com/index.php/AJFAM/article/view/6805 SP - AB - <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> ER -