## Abstract

It^{ }is well known that the spiral wave solution of the^{ }reaction-diffusion equations is in the form of two qualitatively different^{ }classes of waves: rigidly rotating spirals or meandering spiral waves.^{ }The main objective of this paper is to study the^{ }stability of these waves. We develop an algorithm to deal^{ }with an operator dependent linearized system and to show that^{ }these waves are stable. This algorithm could be easily implemented.^{ }We also introduce a new approach for studying the dynamics^{ }change in the reaction diffusion system that obviates the need^{ }for tracing the path of spiral tip. Unlike tracing out^{ }the spiral tip which requires the intensive numerical procedures, our^{ }approach is easily implemented.

Original language | English |
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Title of host publication | Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2009 |

Publisher | American Institute of Physics |

ISBN (Print) | 9780735407053 |

DOIs | |

Publication status | Published - 2009 |

## Keywords

- spiral waves
- algorithm