An Efficient Petrov–Galerkin Scheme for the Euler–Bernoulli Beam Equation via Second-Kind Chebyshev Polynomials

The current article introduces a Petrov–Galerkin method (PGM) to address the fourth-order uniform Euler–Bernoulli pinned–pinned beam equation. Utilizing a suitable combination of second-kind Chebyshev polynomials as a basis in spatial variables, the proposed method elegantly and simultaneously satis...

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Detalles Bibliográficos

Principais autores:	Youssri Hassan Youssri, Waleed Mohamed Abd-Elhameed, Amr Ahmed Elmasry, Ahmed Gamal Atta
Formato:	Artigo
Idioma:	Inglês
Publicado:	MDPI AG 2025-01-01
Series:	Fractal and Fractional
Assuntos:	Euler–Bernoulli beam equation Petrov–Galerkin method spectral solution pinned–pinned boundary conditions clamped–clamped boundary conditions convergence analysis
Acceso en liña:	https://www.mdpi.com/2504-3110/9/2/78
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