Geodesic
A~variational difference scheme for the one-dimensional diffusion equation
Matematičeskie zametki, Tome 17 (1975) no. 6, pp. 893-898

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In this paper we construct a homogeneous variational difference scheme for the diffusion equation assuming its coefficients to be bounded and measurable; the order of convergence of the scheme is $O(h^2)$. 
@article{MZM_1975_17_6_a6,
     author = {O. A. Fedorova},
     title = {A~variational difference scheme for the one-dimensional diffusion equation},
     journal = {Matemati\v{c}eskie zametki},
     pages = {893--898},
     publisher = {mathdoc},
     volume = {17},
     number = {6},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_6_a6/}
}
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O. A. Fedorova. A~variational difference scheme for the one-dimensional diffusion equation. Matematičeskie zametki, Tome 17 (1975) no. 6, pp. 893-898. http://geodesic.mathdoc.fr/item/MZM_1975_17_6_a6/