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arXiv · 1303.4115

On quasi-linear PDAEs with convection: applications, indices, numerical solution

Wenfried Lucht·Kristian Debrabant
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Abstract

For a class of partial differential algebraic equations (PDAEs) of quasi-linear type which include nonlinear terms of convection type a possibility to determine a time and spatial index is considered. As a typical example we investigate an application from plasma physics. Especially we discuss the numerical solution of initial boundary value problems by means of a corresponding finite difference splitting procedure which is a modification of a well known fractional step method coupled with a matrix factorization. The convergence of the numerical solution towards the exact solution of the corresponding initial boundary value problem is investigated. Some results of a numerical solution of the plasma PDAE are given.

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Wenfried Lucht, Kristian Debrabant. 2013-03-17. On quasi-linear PDAEs with convection: applications, indices, numerical solution. https://doi.org/10.1016/s0168-9274(01)00157-x

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