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Variational iteration method and homotopy perturbation method for nonlinear evolution equations. (English) Zbl 1141.65384
Summary: The variational iteration and homotopy perturbation methods are applied to various evolution equations. To assess the accuracy of the solutions, we compare the results with the exact solutions, revealing that both methods are capable of solving effectively a large number of nonlinear differential equations with high accuracy.

MSC:
65M70Spectral, collocation and related methods (IVP of PDE)
35L75Nonlinear hyperbolic PDE of higher (>2) order