### Abstract

In this work we consider parallel algorithms for solution of nonlinear parabolic PDEs. First mathematical models describing nonlinear diffusion filters are presented. The finite-volume method is used to approximate differential equations. Parallel algorithms are based on the domain decomposition method. The algorithms are implemented by using Par-Sol parallelization tool and a brief description of this tool is also presented. The efficiency of proposed parallel algorithms is investigated and results of the scalability analysis are given. Theoretical predictions are compared with results of computational experiments. Application of nonlinear diffusion filters for analysis of computer tomography images is discussed in the last section of the paper.

Original language | English |
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Pages (from-to) | 155-172 |

Number of pages | 18 |

Journal | Mathematical Modelling and Analysis |

Volume | 10 |

Issue number | 2 |

Publication status | Published - 2005 |

Externally published | Yes |

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### Keywords

- Finite-volume method
- Nonlinear diffusion filters
- Parallel algorithms

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Mathematical Modelling and Analysis*,

*10*(2), 155-172.