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.
|Number of pages||11|
|Journal||Journal of Numerical and Applied Mathematics|
|Publication status||Published - 2010|
- unsteady Stokes system
- mixed initial boundary value problem
- Laguerre transformation
- boundary integral equations
- trigonometrical quadratures
- Nyström method
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.