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Finite difference approximate solutions for the two-dimensional Burgers' system

✍ Scribed by R. Kannan; S.K. Chung

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
333 KB
Volume
44
Category
Article
ISSN
0898-1221

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✦ Synopsis

Finite difference approximate solutions for the two-dimensional Burgers system which models a turbulent flow in a channel. Implicit Euler method is applied to obtain approximate solutions. Existence of solutions is shown by using Leray-Schauder fixed-point theorem. Stability and uniqueness of the solution are also shown by judicious applications of the discrete Gronwall's inequality and energy methods.

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