Abstract
In this chapter we will discuss the initial-boundary value problems that control the wave propagation in two and three dimensional spaces. The methods that will be applied are the Adomian decomposition method [1] and the method of separation of variables [2–5]. The two methods have been outlined before and were applied to the one dimensional wave equation in Chapter 5.
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References
G. Adomian, Solving Frontier Problems of Physics: The Decomposition Method, Kluwer, Boston, (1994).
N. Asmar, Partial Differential Equations, Prentice Hall, New Jersey, (2005).
J.M. Cooper, Introduction to Partial Differential Equations with MATLAB, Birkhauser, Boston, (1998).
S.J. Farlow, Partial Differential Equations for Scientists and Engineers, Dover, New York, (1993).
R. Haberman, Applied Partial Differential Equations, Pearson, New York, (2003).
A.M. Wazwaz, Partial Differential Equations: Methods and Applications, Balkema, Leiden, (2002).
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© 2009 Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg
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Wazwaz, AM. (2009). Higher Dimensional Wave Equation. In: Partial Differential Equations and Solitary Waves Theory. Nonlinear Physical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00251-9_6
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DOI: https://doi.org/10.1007/978-3-642-00251-9_6
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Publisher Name: Springer, Berlin, Heidelberg
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Online ISBN: 978-3-642-00251-9
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