A Short Note On Solving 1-D Porous Medium Equation by Finite Element Methods

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Date

2016-05-20

Authors

Matayev, Chingis

Journal Title

Journal ISSN

Volume Title

Publisher

Nazarbayev University School of Science and Technology

Abstract

Porous Medium Equation (PME) is one of the simplest types of of nonlinear evolution equation of parabolic type. It emerges in the description of di erent natural phenomena, and its theory and properties depart strongly from the heat equation, ut = u, its most famous relative. Hence the interest of its study, both for the pure mathematician and the applied scientist (Vazquez, 2006). The aim of this paper is to study the Porous Medium Equation in one dimension.

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Keywords

Research Subject Categories, Porous Medium Equation

Citation

Chingis Matayev. 2016. A Short Note On Solving 1-D Porous Medium Equation by Finite Element Methods. Nazarbaev University. http://nur.nu.edu.kz/handle/123456789/1561