Moving Mesh Methods for Semi-Linear Problems

@inproceedings{Edgington2011MovingMM,
  title={Moving Mesh Methods for Semi-Linear Problems},
  author={Matthew Paul Edgington},
  year={2011}
}
  • Matthew Paul Edgington
  • Published 2011
In this dissertation we examine the application of moving mesh methods to a number of semi-linear partial differential equations (PDEs). In particular we apply moving mesh methods that are based on the principle of conservation of certain quantities. The PDEs we consider are the Fisher’s equation, Non-linear Schrödinger equation and the Cahn-Allen equation. We begin with some examples of PDEs that exhibit blow-up behaviour, that is, they have a solution that becomes infinite within a finite… CONTINUE READING

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