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Analytical approach to Kawahara equation using variational iteration method and homotopy perturbation method. (English) Zbl 1152.35091

Summary: Variational iteration method and homotopy perturbation method are introduced to solve the Kawahara equation. Comparison of the obtained results with the numerical solution shows that both methods lead to remarkably accurate solutions.

MSC:

35Q35 PDEs in connection with fluid mechanics
65D99 Numerical approximation and computational geometry (primarily algorithms)
35A15 Variational methods applied to PDEs
35A35 Theoretical approximation in context of PDEs