### Abstract

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

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

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*Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE.*pp. 892-903, 14th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE, 1/01/14.

**A meshfree numerical method for the time-fractional diffusion equation.** / Martins, Nuno Filipe Marcelino; Rebelo, Magda Stela de Jesus.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - A meshfree numerical method for the time-fractional diffusion equation

AU - Martins, Nuno Filipe Marcelino

AU - Rebelo, Magda Stela de Jesus

PY - 2014/1/1

Y1 - 2014/1/1

N2 - 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.

AB - 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.

KW - method of fundamental solutions

KW - Caputo derivative

KW - fractional differential equations

KW - sub-diffusion equa-tion

M3 - Conference contribution

SN - 978-84-616-9216-3

SP - 892

EP - 903

BT - Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE

ER -