Results 51 to 60 of about 263,554 (202)
Fractional Jacobi Renormalization Operators for Fixed Classical Orthogonal Polynomial Systems
Fractal and FractionalFor a fixed orthogonal polynomial sequence, classical orthonormalization changes the polynomials by degree-dependent scalar factors. If the polynomials themselves are kept fixed, scalar-measure normalization is usually impossible; on a compact interval ...
Edson Pindza, Hopolang Phillip Mashele
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Oblique Water Wave Diffraction by a Step
International Journal of Applied Mechanics and Engineering, 2017 This paper is concerned with the problem of diffraction of an obliquely incident surface water wave train on an obstacle in the form of a finite step.
P. Dolai
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Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.Nonlinear dispersion phenomena in liquid media often lead to the formation of localized structures such as compact wave packets and dispersion drops. The present investigation demonstrates that the proposed analytical framework yields accurate approximate solutions, successfully captures compacton‐like structures, and clearly reveals the critical ...
Yogeshwari F. Patel +3 more
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On the Generalized Class of Multivariable Humbert-Type Polynomials
International Journal of Mathematics and Mathematical SciencesThe present paper deals with the class of multivariable Humbert polynomials having generalization of some well-known polynomials like Gegenbauer, Legendre, Chebyshev, Gould, Sinha, Milovanović-Djordjević, Horadam, Horadam-Pethe, Pathan and Khan, a class ...
B. B. Jaimini +3 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.The Lucas collocation approach is used in this study to approximate a fractional‐order financial crime model (FOFCM) numerically. The model categorizes the population into five groups: persons without a financial criminal past, those inclined toward financial crimes, active participants, individuals undergoing prosecution, and those imprisoned.
Mahmoud Abd El-Hady +4 more
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Discrete-Time Filter Synthesis using Product of Gegenbauer Polynomials [PDF]
Radioengineering, 2016 A new approximation to design continuoustime and discrete-time low-pass filters, presented in this paper, based on the product of Gegenbauer polynomials, provides the ability of more flexible adjustment of passband and stopband responses.
N. Stojanovic, N. Stamenkovic, I. Krstic
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International Journal of Applied Mechanics and Engineering, 2019 The problem considered in this paper is the derivation of properties of edge waves travelling along a submerged horizontal shelf. The problem is formulated within the framework of the linearized theory of water waves and Havelock expansions of water wave
P. Dolai, D.P. Dolai
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.The aim of the work is to investigate a nonlinear reaction–diffusion model applied to electroactive polymer films, formulated within a fractional‐order framework to incorporate spatial nonlocality and anomalous transport effects. The conventional model is generalized using the Liouville–Caputo fractional derivative to provide a more realistic ...
Yogeshwari F. Patel +3 more
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Scattering of Oblique Water Waves by an Infinite Step
International Journal of Applied Mechanics and Engineering, 2018 The present paper is concerned with the problem of scattering of obliquely incident surface water wave train passing over a step bottom between the regions of finite and infinite depth.
P. Dolai, D.P. Dolai
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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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