### Abstract

We present a novel numerical method for a mixed initial boundary value problem for the unsteady Stokes system in a planar doubly-connected domain. Using a Laguerre transformation the unsteady problem is reduced to a system of boundary value problems for the Stokes resolvent equations. Employing a modied potential approach we obtain a system of boundary integral equations with various singularities and we use a trigonometric quadrature method for their numerical solution. Numerical examples are presented showing that accurate approximations can be obtained with low computational cost.

Original language | English |
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Pages (from-to) | 29-39 |

Number of pages | 11 |

Journal | Journal of Numerical and Applied Mathematics |

Volume | 100 |

Issue number | 1 |

Publication status | Published - 2010 |

### Keywords

- unsteady Stokes system
- mixed initial boundary value problem
- Laguerre transformation
- boundary integral equations
- trigonometrical quadratures
- Nyström method

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## Cite this

Chapko, R. S., Johansson, B. T., & Kantor, I. S. (2010). An integral equation method for a mixed initial boundary value problem for unsteady Stokes system in a doubly-connected domain.

*Journal of Numerical and Applied Mathematics*,*100*(1), 29-39.