A higher order time differencing method for the spatially nonhomogeneous Boltzmann equation is derived from the integral form of the equation along its characteristic line. Similar to the splitting method, which solves the collisionless equation in the convection step and the spatially homogeneous B
Convergence of the total-approximation method for the Boltzmann equation
β Scribed by S.V. Bogomolov
- Publisher
- Elsevier Science
- Year
- 1988
- Weight
- 418 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0041-5553
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A new numerical method is proposed to solve the Boltzmann equation. A frame is set up by using a discrete velocity approximation in the infinite velocity space, but by considering only those distribution function points which are not too small. The distribution function points may occur anywhere in
## Abstract We consider the approximate solution of WienerβHopf integral equations by Galerkin, collocation and NystrΓΆm methods based on piecewise polynomials where accuracy is achieved by increasing simultaneously the number of mesh points and the degree of the polynomials. We look for the stabili