This paper discusses the numerical solutions of the nonlinear Klein–Gordon–Zakharov model by the use of five recent numerical schemes (Adomian decomposition, El-kalla, cubic B-spline, extended cubic B-spline, and exponential cubic B-spline). The object of this numerical analysis is to demonstrate the accuracy of the analytical solutions obtained using the generalized Khater system and also to display the accuracy of the five numerical schemes mentioned above. This mathematical model explains the development in plasma physics of efficient Langmuir turbulence. We use computational solutions to assess the original and boundary conditions which require the numerical schemes to be implemented. Many distinct sketches are given to demonstrate the exactness of the numerical solutions measured.

中文翻译：

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通过等离子体物理学中最近的五种数值方案探讨强朗缪尔湍流的动力学

本文通过使用最近的五种数值方案（Adomian 分解、El-kalla、三次 B 样条、扩展三次 B 样条和指数三次 B 样条）讨论了非线性 Klein-Gordon-Zakharov 模型的数值解。该数值分析的目的是证明使用广义 Khater 系统获得的解析解的准确性，并展示上述五种数值方案的准确性。这个数学模型解释了高效朗缪尔湍流在等离子体物理学中的发展。我们使用计算解决方案来评估需要实施数值方案的原始条件和边界条件。给出了许多不同的草图来证明测量的数值解的准确性。