### Abstract

In this paper we provide two numerical schemes for the numerical solution of the wave-di usion equation with a nonlinear source term and with distributed order in time. Some numerical examples with known analytical solutions are considered in order to show the eciency of the numerical methods. Estimates for the convergence orders are computed indicating that the described numerical schemes are rst order in time and second order in space and integration.

Original language | Unknown |
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Title of host publication | Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering |

Pages | 1057-1068 |

Publication status | Published - 1 Jan 2014 |

Event | 14th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE - Duration: 1 Jan 2014 → … |

### Conference

Conference | 14th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE |
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Period | 1/01/14 → … |

## Cite this

Rebelo, M. S. D. J. (2014). Numerical solution of the reaction-wave-diffusion equation with distributed order in time. In

*Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering*(pp. 1057-1068)