GRID-FREE CHEBYSHEV SOLUTION OF CERTAIN NONLINEAR DIFFERENTIAL-EQUATIONS

Authors
HIEGEMANN M
Citation
M. Hiegemann, GRID-FREE CHEBYSHEV SOLUTION OF CERTAIN NONLINEAR DIFFERENTIAL-EQUATIONS, Zeitschrift fur angewandte Mathematik und Mechanik, 76, 1996, pp. 553-554
Citations number
2
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Mechanik → ACNP
ISSN journal
00442267
Volume
76
Year of publication
1996
Supplement
2
Pages
553 - 554
Database
ISI
SICI code
0044-2267(1996)76:<553:GCSOCN>2.0.ZU;2-L
Abstract
The differential equations of fluid flow contain nonlinearities of pro duct type. We describe a method to construct Chebyshev series approxim ations of the solutions without using a computational grid. This is ac hieved by application of Newton's method; vector function and Jacobian are built by matrix operator expressions. It is possible to treat the problem in original and in integrated form as is demonstrated for the stationary Burgers' equation.