Cutting-Edge Spectral Solutions for Differential and Integral Equations Utilizing Legendre’s Derivatives

This research introduces a spectral numerical method for solving some types of integral equations, which is the pseudo-Galerkin spectral method. The presented method depends on Legendre’s first derivative polynomials as basis functions. Subsequently, an operational integration matrix has been constr...

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Autors principals:	A.M. Abbas, Y.H. Youssri, M. El-Kady, M. Abdelhakem
Format:	Artigo
Idioma:	Inglês
Publicat:	Ferdowsi University of Mashhad 2025-09-01
Col·lecció:	Iranian Journal of Numerical Analysis and Optimization
Matèries:	legendre polynomials pseudo-galerkin spectral method integral equations lane–emden equation stable population model
Accés en línia:	https://ijnao.um.ac.ir/article_46713_b12c89e8f36744903a0259a2c1eeb2a9.pdf
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