Abstract
In this paper we are concerned with accurate and stable spectral collocation solutions to initial-boundary value problems attached to some challenging nonlinear wave equations defined on unbounded domains. We argue that spectral collocation based on Hermite and sinc functions actually provide such solutions avoiding the empirical domain truncation or any shooting techniques.
Authors
Călin-Ioan Gheorghiu
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy
Keywords
Hermite; sinc; collocation; nonlinear; wave equation; shock like solution.
References
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Cite this paper as
C.I. Gheorghiu, Stable spectral collocation solutions to Cauchy problems for nonlinear dispersive wave equations, Proceedings of the 4th Conference of Mathematical Society of Moldova (CMSM4), 2017, pp. 277-280. ISBN 978-9975-71-915-5
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About this paper
Journal
Proceedings of the 4th Conference of Mathematical Society of Moldova
Publisher Name
Academy of Sciences of Moldova
DOI
ISBN
ISBN 978-9975-71-915-5
Google Scholar Profile
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