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Exact solutions to difference equation models of Burgers' equation

โœ Scribed by Ronald E. Mickens

Publisher
John Wiley and Sons
Year
1986
Tongue
English
Weight
217 KB
Volume
2
Category
Article
ISSN
0749-159X

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๐Ÿ“œ SIMILAR VOLUMES

A finite difference scheme for traveling
A finite difference scheme for traveling wave solutions to Burgers equation
โœ Ronald E. Mickens ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 190 KB ๐Ÿ‘ 2 views

We construct a finite difference scheme for the ordinary differential equation describing the traveling wave solutions to the Burgers equation. This difference equation has the property that its solution can be calculated. Our procedure for determining this solution follows closely the analysis used

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A complete classification for the self-similar solutions to the generalized Burgers equation \[ u_{t}+u^{\beta} u_{x}=t^{N} u_{x x} \] of the form \(u(t, \eta)=A_{1} t^{-(1-N) / 2 \beta} F(\eta)\), where \(\eta=A_{2} x t^{-(1+N / 2}, A_{2}=1 / \sqrt{2 A}\), and \(A_{1}=\left(2 A_{2}\right)^{-1 / 6

Hermitian green element solutions of the
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โœ Taigbenu, Akpofure E. ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 108 KB ๐Ÿ‘ 2 views

Our earlier paper incorporated linear basis functions for the representation of the distribution of the primary variable (velocity) into a model of the Green element method (GEM) for the solution of Burgers' equation. GEM is an element-by-element numerical procedure of implementing the singular boun