Numerical blow-up for the porous medium equation with a source

We study numerical approximations of positive solutions of the porous medium equation with a nonlinear source, {ut = (um) xx + up, (x, t) ∈ (-L, L) × (0, T), u(-L, t) = u(L, t) = 1, t∈ [0, t), u(x, 0) = φ(x), ≥1 x ∈ (-L, L), where m > 1, p > 0 and L > 0 are parameters. We descri...

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Detalles Bibliográficos
Autores principales: Ferreira, R., Groisman, P., Rossi, J.D.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0749159X_v20_n4_p552_Ferreira
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