article · 2011

for the Porous Medium Equation

Theodora Eleftheriou

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Abstract

I confirm that this is my own work, and the use of all material from other sources has been properly and fully acknowledged. Signature:............................. Many non-linear partial differential equations cannot be solved analytically, and for that reason numerical approximations are required. Thus, an adaptive moving mesh method is used in this dissertation in order to examine the accuracy of the method based on monitor functions. The purpose of this dissertation is to investigate a moving mesh method, based on a conservation of mass principle applied to the dimensional porous medium equation (PME). Using the evolution of a self-similar solution of the PME, the moving mesh method is investigated in order to determine whether a good representation of these solutions is obtained. It also provides an assessment for the accuracy of the moving mesh method when the choice of monitor function varies. Analytical results for both mass and arc-length

Cite this paper

APA 7

Eleftheriou, T. (2011). for the Porous Medium Equation.

MLA 9

Eleftheriou, Theodora. “for the Porous Medium Equation.” 2011.

Chicago

Eleftheriou, Theodora. 2011. “for the Porous Medium Equation.”

Harvard

Eleftheriou, T. (2011) ‘for the Porous Medium Equation’.

BibTeX

@article{eleftheriou2011porous,
  title = {{for the Porous Medium Equation}},
  author = {Eleftheriou, Theodora},
  year = {2011}
}

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