A finite difference approach to the interface equation for some nonlinear diffusion equations with absorption
Nakaki, Tatsuyuki ; Tomoeda, Kenji
Proc. Japan Acad. Ser. A Math. Sci., Tome 77 (2001) no. 10, p. 32-37 / Harvested from Project Euclid
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We show the validity of the interface equation which describes the behavior of the support of the solution to the one-dimensional porous media equation with absorption. Our proof is based on the finite difference methods.
Publié le : 2001-02-14
Classification:  Nonlinear diffusion,  finite speed of propagation,  interface,  difference scheme,  65M12,  35K65,  35B99 
@article{1148393124,
     author = {Nakaki, Tatsuyuki and Tomoeda, Kenji},
     title = {A finite difference approach to the interface equation for some nonlinear diffusion equations with absorption},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {77},
     number = {10},
     year = {2001},
     pages = { 32-37},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148393124}
}

Nakaki, Tatsuyuki; Tomoeda, Kenji. A finite difference approach to the interface equation for some nonlinear diffusion equations with absorption. Proc. Japan Acad. Ser. A Math. Sci., Tome 77 (2001) no. 10, pp.  32-37. http://gdmltest.u-ga.fr/item/1148393124/