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Maximum entropy method for solving the collisional Vlasov equation

✍ Scribed by S.A. El-Wakil; A. Elhanbaly; M.A. Abdou

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
188 KB
Volume
323
Category
Article
ISSN
0378-4371

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✦ Synopsis

By means of the maximum entropy method the reduced Vlasov-Fokker-Planck equation has been solved explicitly. The behaviour of the approximate maximum entropy distribution functions are shown graphically, and compared with that obtained by using Lie group method. The results reported in this article provide further evidence of the usefulness of both maximum entropy and Lie group methods for obtaining time dependent solution in compact form.

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we present a maxentropic approach to the study of regularized Fredholm equations. Besides making the maxentropic approach work, the regularization has an important practical origin. namely, the data function is usually contaminated with noise, which naturally requires solutions to lie in some neighb