COMPARISON BETWEEN NUMERICAL METHODS FOR GENERALIZED ZAKHAROV SYSTEM

COMPARISON BETWEEN NUMERICAL METHODS FOR GENERALIZED ZAKHAROV SYSTEM

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 transform method (DTM). Both of the proposed methods have high...

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Veröffentlicht in:TWMS journal of applied and engineering mathematics 2024-01, Vol.14 (1), p.32
Hauptverfasser: Kawala, A.M, Abdelaziz, H.K
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Boundary conditions
Collocation methods
Differential equations
Electric fields
Mathematics
Methods
Numerical analysis
Numerical methods
Partial differential equations
Plasma
Plasma physics
Polynomials
Wave propagation
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Zusammenfassung: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 transform 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 Zakharov system. AMS Subject Classification: 83-02, 99A00.
ISSN:2146-1147
2146-1147