### Abstract

In this work we provide an application of the method of fundamental solutions to the one-dimensional time-fractional diffusion equation. The proposed scheme is a meshfree method based on fundamental solutions basis functions for the one-dimensional time-fractional diffusion equation. Some numerical examples are presented in order to illustrate the feasibility and accuracy of the method.

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, CMMSE |

Pages | 892-903 |

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

Martins, N. F. M., & Rebelo, M. S. D. J. (2014). A meshfree numerical method for the time-fractional diffusion equation. In

*Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE*(pp. 892-903)