Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2004-08-12
V.V. Makhro, "A family of implicit finite-difference schemes with soliton-like solutions", Exponenta Pro. Mathematics in Appli
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
13 pages, 13 figures
Scientific paper
We announce a detailed numerical investigation for some class of difference
schemes, which arises from Euler implicit scheme. Such schemes demonstrate
unusual behavior and leads to origin of solitons. Applications to some
nonlinear problems are discussed.
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