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Explicit and implicit meshless methods for linear advection–diffusion-type partial differential equations

✍ Scribed by M. Zerroukat; K. Djidjeli; A. Charafi

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
293 KB
Volume
48
Category
Article
ISSN
0029-5981

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✦ Synopsis

Simple, mesh=grid free, explicit and implicit numerical schemes for the solution of linear advection-di usion problems is developed and validated herein. Unlike the mesh or grid-based methods, these schemes use well distributed quasi-random points and approximate the solution using global radial basis functions. The schemes can be seen as generalized ÿnite di erences with random points instead of a regular grid system. This allows the computation of problems with complex-shaped boundaries in higher dimensions with no need for complex mesh=grid structure and with no extra implementation di culties.

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