COMPARISON BETWEEN NUMERICAL METHODS FOR GENERALIZED ZAKHAROV SYSTEM

COMPARISON BETWEEN NUMERICAL METHODS FOR GENERALIZED ZAKHAROV SYSTEM

A. M. KAWALA, H. K. ABDELAZIZ

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Abstract. In this paper, two numerical methods has been applied to numerically solve the generalized Zakharov system (GZS). The spectral collocation method, which based on two dimensional Legendre polynomials (LCM) and the well-known differential trans- form method (DTM). Both of the proposed methods have high accuracy and have been successfully compared with Adomian decomposition method.

Keywords: Differential transform method; Legendre collocation method; Generalized Za- kharov system.

AMS Subject Classification: 83-02, 99A00.