### Abstract

Original language | English |
---|---|

Pages (from-to) | 1555-1568 |

Number of pages | 14 |

Journal | International Journal of Computer Mathematics |

Volume | 89 |

Issue number | 11 |

Early online date | 3 May 2012 |

DOIs | |

Publication status | Published - 2012 |

Event | 8th UK Conference on Boundary Integral Methods - University of Leeds, Leeds, United Kingdom Duration: 4 Jul 2011 → 5 Jul 2011 |

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### Bibliographical note

Special Issue: Proceedings of the 8th UK Conference on Boundary Integral Methods, July 4th–5th, 2011, held at the University of Leeds, UK.### Keywords

- heat conduction
- method of fundamental solutions
- MFS
- axisymmetric heat equation
- radially symmetric heat equation
- backward inverse problem

### Cite this

*International Journal of Computer Mathematics*,

*89*(11), 1555-1568. https://doi.org/10.1080/00207160.2012.680448

}

*International Journal of Computer Mathematics*, vol. 89, no. 11, pp. 1555-1568. https://doi.org/10.1080/00207160.2012.680448

**A method of fundamental solutions for radially symmetric and axisymmetric backward heat conduction problems.** / Johansson, B. Tomas; Lesnic, Daniel; Reeve, Thomas.

Research output: Contribution to journal › Special issue

TY - JOUR

T1 - A method of fundamental solutions for radially symmetric and axisymmetric backward heat conduction problems

AU - Johansson, B. Tomas

AU - Lesnic, Daniel

AU - Reeve, Thomas

N1 - Special Issue: Proceedings of the 8th UK Conference on Boundary Integral Methods, July 4th–5th, 2011, held at the University of Leeds, UK.

PY - 2012

Y1 - 2012

N2 - We propose and investigate an application of the method of fundamental solutions (MFS) to the radially symmetric and axisymmetric backward heat conduction problem (BHCP) in a solid or hollow cylinder. In the BHCP, the initial temperature is to be determined from the temperature measurements at a later time. This is an inverse and ill-posed problem, and we employ and generalize the MFS regularization approach [B.T. Johansson and D. Lesnic, A method of fundamental solutions for transient heat conduction, Eng. Anal. Boundary Elements 32 (2008), pp. 697–703] for the time-dependent heat equation to obtain a stable and accurate numerical approximation with small computational cost.

AB - We propose and investigate an application of the method of fundamental solutions (MFS) to the radially symmetric and axisymmetric backward heat conduction problem (BHCP) in a solid or hollow cylinder. In the BHCP, the initial temperature is to be determined from the temperature measurements at a later time. This is an inverse and ill-posed problem, and we employ and generalize the MFS regularization approach [B.T. Johansson and D. Lesnic, A method of fundamental solutions for transient heat conduction, Eng. Anal. Boundary Elements 32 (2008), pp. 697–703] for the time-dependent heat equation to obtain a stable and accurate numerical approximation with small computational cost.

KW - heat conduction

KW - method of fundamental solutions

KW - MFS

KW - axisymmetric heat equation

KW - radially symmetric heat equation

KW - backward inverse problem

UR - http://www.tandfonline.com/10.1080/00207160.2012.680448

U2 - 10.1080/00207160.2012.680448

DO - 10.1080/00207160.2012.680448

M3 - Special issue

VL - 89

SP - 1555

EP - 1568

JO - International Journal of Computer Mathematics

JF - International Journal of Computer Mathematics

SN - 0020-7160

IS - 11

ER -