### Abstract

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

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 |

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### Keywords

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

### Cite this

*Journal of Numerical and Applied Mathematics*,

*100*(1), 29-39.

}

*Journal of Numerical and Applied Mathematics*, vol. 100, no. 1, pp. 29-39.

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - An integral equation method for a mixed initial boundary value problem for unsteady Stokes system in a doubly-connected domain

AU - Chapko, R.S.

AU - Johansson, B.T.

AU - Kantor, I.S.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - unsteady Stokes system

KW - mixed initial boundary value problem

KW - Laguerre transformation

KW - boundary integral equations

KW - trigonometrical quadratures

KW - Nyström method

M3 - Article

VL - 100

SP - 29

EP - 39

JO - Journal of Numerical and Applied Mathematics

JF - Journal of Numerical and Applied Mathematics

SN - 0868-6912

IS - 1

ER -