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Similarity solutions of the nonlinear diffusion equation

✍ Scribed by F. V. Atkinson; L. A. Peletier

Publisher
Springer
Year
1974
Tongue
English
Weight
714 KB
Volume
54
Category
Article
ISSN
0003-9527

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πŸ“œ SIMILAR VOLUMES

Similarity solutions for nonlinear diffu
Similarity solutions for nonlinear diffusion β€” further exact solutions
✍ D. L. Hill; J. M. Hill πŸ“‚ Article πŸ“… 1990 πŸ› Springer 🌐 English βš– 480 KB

Although the nonlinear diffusion equation has been extensively studied and there exists substantial literature in many diverse areas of science and technology, the number of exact concentration profiles is nevertheless limited. In a recent article in this journal (Hill [1]) a brief review of known e

New classes of similarity solutions for
New classes of similarity solutions for the nonlinear Carleman-Boltzmann equation
✍ G. Dukek; T.F. Nonnenmacher πŸ“‚ Article πŸ“… 1986 πŸ› Elsevier Science 🌐 English βš– 695 KB

We apply the Lie-group based similarity method to the Carleman-model and calculate the generators of the group depending on four group constants. Heretofore undiscovered classes of similarity solutions will be presented, and already discovered solutions by Ernst and Wick will be rediscovered and cla

Similarity solutions for nonlinear diffu
Similarity solutions for nonlinear diffusion β€” a new integration procedure
✍ J. M. Hill πŸ“‚ Article πŸ“… 1989 πŸ› Springer 🌐 English βš– 627 KB

The nonlinear diffusion equation arises in many important areas of science and technology and most of the known exact solutions turn out to be similarity solutions. For a general similarity solution involving an arbitrary parameter 1, a new integration procedure is proposed which enables first integ