Geodesic
Finite Difference Schemes on Nonuniform Meshes for Parabolic Problems With Generalized Solutions
Publications de l'Institut Mathématique, _N_S_67 (2000) no. 81, p. 145 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We investigate the convergence of finite difference schemes for one dimensional heat conduction equation on nonuniform rectangular meshes. For schemes with averaged right hand sides convergence rate estimates consistent with the smoothness of the solution in discrete $L_2$ norm are obtained. Possible extensions of obtained results are noted.
Classification : 65M10
Keywords: Parabolic problem, finite differences, nonuniform mesh, generalized solution, rate of convergence 
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     author = {Bo\v{s}ko Jovanovi\'c and Peter P. Matus},
     title = {Finite {Difference} {Schemes} on {Nonuniform} {Meshes} for {Parabolic} {Problems} {With} {Generalized} {Solutions}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {145 },
     publisher = {mathdoc},
     volume = {_N_S_67},
     number = {81},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2000_N_S_67_81_a13/}
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Boško Jovanović; Peter P. Matus. Finite Difference Schemes on Nonuniform Meshes for Parabolic Problems With Generalized Solutions. Publications de l'Institut Mathématique, _N_S_67 (2000) no. 81, p. 145 . http://geodesic.mathdoc.fr/item/PIM_2000_N_S_67_81_a13/