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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Bibliographic Details
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
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ISSN2146-1147
2146-1147

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Summary: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.
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content type line 14
ISSN:2146-1147
2146-1147