Analytical Construction of Uniformly Convergent Method for Convection Diffusion Problem
DOI:
https://doi.org/10.24203/ajfam.v9i3.6805Keywords:
Local Green’s function, convection-diffusion problem, boundary value problem, boundary layer, singular points.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;
References
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Roos, H. G., Ten Ways to Generate the Il’in and Related Schemes”, J. of Computational and Appl. Maths., 53 p. 43-59, 1994.
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Stynes, M., Tobiska, L., “A finite difference analysis of a streamline diffusion method on a Shishkin mesh”, Numer Algoritms, 18(3-4), pp.337-360, 1998.
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