✦ LIBER ✦

The generalized boundary element approach to Burgers' equation

✍ Scribed by Kazuhiko Kakuda; Nobuyoshi Tosaka

Publisher: John Wiley and Sons
Year: 1990
Tongue: English
Weight: 644 KB
Volume: 29
Category: Article
ISSN: 0029-5981
DOI: 10.1002/nme.1620290203

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✦ Synopsis

The generalized boundary element method is presented for the numerical solution of Burgers' equation. The new method is based on the set of boundary integral equations derived for each subdomain by using the fundamental solution for the linearized differential operator of the equation. The resulting system of quasinon-linear equations is solved implicitly with use of a simple iterative procedure. The adaptability and the accuracy of the proposed method are demonstrated by three examples and a comparison of the numerical results with the exact solution or other existing solutions is shown for the first example.

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