Projection methods for integral equations in the modelling in the electrical engineering
[ 1 ] Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | [ P ] employee
2007
paper
english
- current density
- Fredholm integral equation
- heat conduction problems
- radiosity problems
- Volterra-Fredholm integral equation
EN Such problems in the electrical engineering as the current density, the radiative heat transfer and the heat conduction can be mathematically described by integral equations, namely by Fredholm integral equations, integro-differential equations and Volterra-Fredholm integral equations, respectively. In the paper we discuss some methods to solve these equations and we propose a projection method of Galerkin type. In this method we replace the initial equation by a system of Volterra integral equations and, next, we solve it numerically. Discussed techniques are accopanied by exemplary computational results.
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