Results 61 to 70 of about 5,592 (152)
Adomian decomposition method by Gegenbauer and Jacobi polynomials
International Journal of Computer Mathematics, 2011 In this paper, orthogonal polynomials on [–1,1] interval are used to modify the Adomian decomposition method (ADM). Gegenbauer and Jacobi polynomials are employed to improve the ADM and compared with the method of using Chebyshev and Legendre polynomials.
Cenesiz, Yucel, Kurnaz, Aydin
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On the asymptotic expansion of the entropy of Gegenbauer polynomials
Journal of Computational and Applied Mathematics, 2002 AbstractIn this paper, the third term in the asymptotic expansion of the entropy for orthonormal Gegenbauer polynomials with fixed integer parameter is obtained as the degree of the polynomials tends to infinity, improving the results of Buyarov et al. (J. Phys. A 33 (2000) 6549).
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, 2016 In this paper, we introduce a novel pseudospectral method for the numerical solution of optimal control problems governed by a parabolic distributed parameter system.
Elgindy, Kareem T.
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Rényi Entropies of Multidimensional Oscillator and Hydrogenic Systems with Applications to Highly Excited Rydberg States. [PDF]
Entropy (Basel), 2022 Dehesa JS.
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Jaynes-Gibbs Entropic Convex Duals and Orthogonal Polynomials. [PDF]
Entropy (Basel), 2022 Le Blanc R.
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New generating functions for Gegenbauer polynomials
Journal of Computational and Applied Mathematics, 1996 AbstractA family of new generating functions for the Gegenbauer polynomials is presented. This work is based upon the elementary manipulation of series and is motivated by the recent appearance of these polynomials in certain aspects of applied mathematics.
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On p-harmonic self-maps of spheres. [PDF]
Calc Var Partial Differ Equ, 2023 Branding V, Siffert A.
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A Mathematical Description of the Flow in a Spherical Lymph Node. [PDF]
Bull Math Biol, 2022 Giantesio G, Girelli A, Musesti A.
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An integral formula for generalized Gegenbauer polynomials and Jacobi polynomials
Advances in Applied Mathematics, 2002 AbstractThe generalized Gegenbauer polynomials are orthogonal polynomials with respect to the weight function |x|2μ(1−x2)λ−1/2. An integral formula for these polynomials is proved, which serves as a transformation between h-harmonic polynomials associated with Z2 invariant weight functions on the plane.
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The Role of Nanofluids in Renewable Energy Engineering. [PDF]
Nanomaterials (Basel), 2023 Bhatti MM, Vafai K, Abdelsalam SI.
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