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Truncated Taylor series solutions to a generalized Burgers' equation

✍ Scribed by G.P. Howell

Book ID
104154460
Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
621 KB
Volume
108
Category
Article
ISSN
0022-460X

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✦ Synopsis

A

A generalized Burgers' equation is solved in the frequency domain by deriving Taylor series expansions in powers of the range variable. The first five terms of the solution are derived, for both plane and spherical deterministic waveforms, for the boundary value problem of an arbitrary time history at the origin. Any frequency dependence ofattenuation and dispersion is allowed. Particular solutions are found to agree with previous work on Burgers' equation. The errors involved in truncating both plane and spherical wave series are investigated, and a discussion of two special cases suggests a boundary to the domain in which such truncated solutions are useful; in particular, they are not well adapted to the prediction of high frequencies.

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