Higher Dimensional Wave Equation

  • Abdul-Majid Wazwaz
Part of the Nonlinear Physical Science book series (NPS)


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, 3, 4, 5]. The two methods have been outlined before and were applied to the one dimensional wave equation in Chapter 5.


Wave Equation Decomposition Method Recursive Relation Series Form Inverse Operator 
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  1. 1.
    G. Adomian, Solving Frontier Problems of Physics: The Decomposition Method, Kluwer, Boston, (1994).zbMATHGoogle Scholar
  2. 2.
    N. Asmar, Partial Differential Equations, Prentice Hall, New Jersey, (2005).Google Scholar
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    J.M. Cooper, Introduction to Partial Differential Equations with MATLAB, Birkhauser, Boston, (1998).zbMATHGoogle Scholar
  4. 4.
    S.J. Farlow, Partial Differential Equations for Scientists and Engineers, Dover, New York, (1993).zbMATHGoogle Scholar
  5. 5.
    R. Haberman, Applied Partial Differential Equations, Pearson, New York, (2003).Google Scholar
  6. 6.
    A.M. Wazwaz, Partial Differential Equations: Methods and Applications, Balkema, Leiden, (2002).zbMATHGoogle Scholar

Copyright information

© Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Abdul-Majid Wazwaz
    • 1
  1. 1.Department of MathematicsSaint Xavier UniversityChicagoUSA

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