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

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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Bibliographic Details
Main Authors: Youssri Hassan Youssri, Waleed Mohamed Abd-Elhameed, Amr Ahmed Elmasry, Ahmed Gamal Atta
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Fractal and Fractional
Subjects:
Euler–Bernoulli beam equation
Petrov–Galerkin method
spectral solution
pinned–pinned boundary conditions
clamped–clamped boundary conditions
convergence analysis
Online Access:https://www.mdpi.com/2504-3110/9/2/78
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