Abstract The present study aims to design a second-order nonlinear Lane–Emden coupled functional differential model and numerically investigate by using the famous spectral collocation method. For validation of the newly designed model, three dissimilar variants have been considered and formulated numerically by applying a famous spectral collocation method. Moreover, a comparison of the obtained results with the exact/true results endorses the effectiveness and competency of the newly designed model, as well as the present technique.

中文翻译：

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一种新的奇异二阶非线性耦合泛函 Lane-Emden 模型的数值研究

摘要 本研究旨在设计一个二阶非线性Lane-Emden耦合泛函微分模型，并利用著名的光谱搭配方法进行数值研究。为了验证新设计的模型，我们考虑了三种不同的变体，并通过应用著名的光谱搭配方法进行了数值计算。此外，将获得的结果与准确/真实结果进行比较，证实了新设计模型的有效性和能力，以及目前的技术。