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A pseudospectral Walsh function method

โœ Scribed by B.G. Sloss; W.F. Blyth

Book ID
103090083
Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
632 KB
Volume
329
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

A new pseudospectral

Walsh function method is introduced which solves differential equations efJiciently. This is the first time pseudospectral methods have been used in conjunction with Walsh functions. The method requires the approximation of L' means of functions over certain intervals. Consequently, error estimates for these approximations are derived. Two test problems are solved by this method. The first is the one-dimensional wave equation, and the second diferential equation contains exponential coefficients. The latter type sometimes involves computational dtficulties when solved by spectral methods.

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