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The variational iteration method: A reliable analytic tool for solving linear and nonlinear wave equations. (English) Zbl 1141.65388

Summary: The variational iteration method (VIM) is used for analytic treatment of the linear and the nonlinear wave equations in bounded and unbounded domains. Wave-like equations are also investigated. The method is capable of reducing the size of calculation and easily overcomes the difficulty of the perturbation technique or Adomian polynomials. The study highlights the power of the VIM method.

MSC:

65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35L70 Second-order nonlinear hyperbolic equations
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