Abstract
The purpose of this chapter is to study initial-boundary value problems for the wave equation in one space dimension. In particular, we will derive formal solutions by a separation of variables technique, establish uniqueness of the solution by energy arguments, and study properties of finite difference approximations.
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© 1998 Springer-Verlag New York, Inc.
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(1998). The Wave Equation. In: Introduction to Partial Differential Equations. Texts in Applied Mathematics, vol 29. Springer, New York, NY. https://doi.org/10.1007/978-0-387-22773-3_5
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DOI: https://doi.org/10.1007/978-0-387-22773-3_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98327-1
Online ISBN: 978-0-387-22773-3
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