Research Output per year

### Abstract

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.

Original language | English |
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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 |

### 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

## Fingerprint Dive into the research topics of 'A method of fundamental solutions for radially symmetric and axisymmetric backward heat conduction problems'. Together they form a unique fingerprint.

## Research Output

- 2 Conference publication

## A method of fundamental solutions for theaxisymmetric backward heat equation

Johansson, B. T., Lesnic, D. & Reeve, T., 2011,*Advances in boundary integral methods: proceedings of the Eight UK Conference on Boundary Integral Methods.*p. 9-16 7 p.

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

## On a boundary integral equation method for numerical construction of harmonic functions in three-dimensional multilayer domains with a bounded inclusion

Johansson, T. B., Chapko, R. S., Protsyuk, O. B. & Lesnic, D., 2011,*Advances in boundary integral methods: proceedings of the Eight UK Conference on Boundary Integral Methods.*p. 88-94 7 p.

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

## Cite this

Johansson, B. T., Lesnic, D., & Reeve, T. (2012). A method of fundamental solutions for radially symmetric and axisymmetric backward heat conduction problems.

*International Journal of Computer Mathematics*,*89*(11), 1555-1568. https://doi.org/10.1080/00207160.2012.680448