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- W2550573141 abstract "This dissertation investigates the numerical solution of similarity solution of the Porous Medium and the Thin Film equations. Scaling transformations are introduced to reduce the original equations to ordinary differential equations. Self-similar solutions are found for all n > 0 in the case of the Porous Medium equation, but only for n = 1 in the Thin Film equation. The ordinary differential equations are solved numerically and the numerical results are compared with the self-similar solutions to verify the accuracy of the numerical schemes used. The main idea is to find a numerical self-similar solution for n > 1 in the Thin Film equation." @default.
- W2550573141 created "2016-11-30" @default.
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- W2550573141 date "2013-01-01" @default.
- W2550573141 modified "2023-09-27" @default.
- W2550573141 title "NUMERICAL APPROXIMATION OF SIMILARITY IN NONLINEAR DIFFUSION EQUATIONS" @default.
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