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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Published inTWMS journal of applied and engineering mathematics Vol. 14; no. 1; p. 32
Main Authors Kawala, A.M, Abdelaziz, H.K
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2024
Elman Hasanoglu
Subjects
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
Iran
Online AccessGet full text
ISSN2146-1147
2146-1147

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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 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.
AbstractList 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.
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.
. 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.
Audience Academic
Author Abdelaziz, H.K
Kawala, A.M
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Elman Hasanoglu
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Snippet In this paper, two numerical methods has been applied to numerically solve the generalized Zakharov system (GZS). The spectral collocation method, which based...
. In this paper, two numerical methods has been applied to numerically solve the generalized Zakharov system (GZS). The spectral collocation method, which...
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StartPage 32
SubjectTerms 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
Title COMPARISON BETWEEN NUMERICAL METHODS FOR GENERALIZED ZAKHAROV SYSTEM
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Volume 14
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