Results 1 to 10 of about 26,150 (102)
An improvement of the Euler–Chebyshev iterative method
Journal of Mathematical Analysis and Applications, 2006 The computation of a simple root of a sufficiently smooth scalar function \(f\) is discussed. The Newton method and the Euler-Chebyshev method are briefly presented. A method based on the Euler-Chebyshev method using a linear combination of function values of \(f\) with a convergence order of 5 is constructed.
Grau, Miquel, Díaz-Barrero, José Luis
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Fractal and FractionalThe 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 ...
Youssri Hassan Youssri +3 more
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Alexandria Engineering Journal, 2023 In this paper, the distributed-order time fractional diffusion equation is introduced and studied. The Caputo fractional derivative is utilized to define this distributed-order fractional derivative.
M.H. Heydari, M. Hosseininia, D. Baleanu
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Nonlinear Engineering, 2023 In this research, a compact combination of Chebyshev polynomials is created and used as a spatial basis for the time fractional fourth-order Euler–Bernoulli pinned–pinned beam.
Moustafa Mohamed +2 more
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Shock and Vibration, 2018 We proposed a Chebyshev spectral method with a null space approach for investigating the boundary-value problem of a nonprismatic Euler-Bernoulli beam with generalized boundary or interface conditions.
C. P. Hsu, C. F. Hung, J. Y. Liao
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Initial approximations in Euler-Chebyshev's method
Journal of Computational and Applied Mathematics, 1995 The author considers a polynomial \(f(x)\) of degree \(n\) and the Euler-Chebyshev iterative method for approximating its zeros. He proves that for any monic polynomial \(f(x)\) of degree \(n\), there exists a set \(\Gamma_f\subset \mathbb{C}^n\) such that the Euler-Chebyshev method starting from \(x^0= x\in \Gamma_f\) does not converge to the zeros of
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Applied Mathematical Modelling, 2018 This paper proposes operational matrix of rth integration of Chebyshev wavelets. A general procedure of this matrix is given. Operational matrix of rth integration is taken as rth power of operational matrix of first integration in literature.
Ibrahim Çelik
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Vibration of Nonlocal Euler Beams Using Chebyshev Polynomials
Key Engineering Materials, 2011 This paper is concerned with the free vibration problem for micro/nano beams modelled after Eringen’s nonlocal elasticity theory and Euler beam theory. The small scale effect is taken into consideration in the former theory.
Bijan Mohammadi
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Euler-Chebyshev methods for integro-differential equations [PDF]
Applied Numerical Mathematics, 1997 Some explicit methods are constructed and analysed for solving initial value problems for systems of integro-differential equations with expensive right hand side functions whose Jacobian has its stiff eigenvalues along the negative axis.
van der Houwen, P.J., Sommeijer, B.P.
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On a generalization of the Euler-Chebyshev method for simultaneous extraction of only a part of all roots of polynomials [PDF]
Japan Journal of Industrial and Applied Mathematics, 2006 The authors generalize the Euler-Chebyshev method for the case when only a part of the roots of a polynomial is sought for. Local cubic convergence is proved for the case of sufficiently separated roots. Numerical experiments are given.
Iliev, Anton +2 more
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