Results 51 to 60 of about 4,491 (232)
Solving Non-Linear Fractional Variational Problems Using Jacobi Polynomials
Mathematics, 2019 The aim of this paper is to solve a class of non-linear fractional variational problems (NLFVPs) using the Ritz method and to perform a comparative study on the choice of different polynomials in the method.
Harendra Singh +2 more
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An Extension of the Chebyshev Polynomials [PDF]
Complex Analysis and Operator Theory, 2015 Our consideration is focused on determining properties of generalized Chebyshev polynomials of the first and second kind, sparking interest in constructing a theory similar to the classical one. This studies highlight some important results and connections between this two types.
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Random discrete probability measures based on a negative binomial process
Canadian Journal of Statistics, EarlyView.Abstract A distinctive functional of the Poisson point process is the negative binomial process for which the increments are not independent but are independent conditional on an underlying gamma variable. Using a new point process representation for the negative binomial process, we generalize the Poisson–Kingman distribution and its corresponding ...
Sadegh Chegini, Mahmoud Zarepour
wiley +1 more source
Results in Physics, 2023 The transport of contaminants is a crucial environmental issue, and accurate modeling of this phenomenon is vital for developing effective strategies for its management.
Mohammad Partohaghighi +3 more
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Chebyshev polynomials on symmetric matrices
Linear Algebra and its Applications, 2011 In this paper we evaluate Chebyshev polynomials of the second-kind on a class of symmetric integer matrices, namely on adjacency matrices of simply laced Dynkin and extended Dynkin diagrams. As an application of these results we explicitly calculate minimal projective resolutions of simple modules of symmetric algebras with radical cube zero that are ...
Erdmann, K, Schroll, S
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Study on fracture parameter calibration and failure characteristics of rock with hole and crack
Deep Underground Science and Engineering, EarlyView.The SIF and plastic zone equations for a single hole and crack have been derived. The model's failure state leads to the identification of four types of cracks. The plastic zone increases with increased brittleness and decreased crack length. Abstract Cracks within the surrounding rock of roadways significantly affect their stability and failure ...
Shaochi Peng, Wensong Wang
wiley +1 more source
JTAM (Jurnal Teori dan Aplikasi Matematika), 2021 In this article, we discuss the Chebyshev Polynomial and its characteristics. The second order difference equation and the process obtaining the explicit solution of the Chebyshev polynomial have been given for each real number.
Ikhsan Maulidi +3 more
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On modified Chebyshev polynomials
Journal of Mathematical Analysis and Applications, 2007 AbstractTwo elegant representations are derived for the modified Chebyshev polynomials discussed by Witula and Slota [R. Witula, D. Slota, On modified Chebyshev polynomials, J. Math. Anal. Appl. 324 (2006) 321–343].
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On modified Chebyshev polynomials
Journal of Mathematical Analysis and Applications, 2006 Abstract In this paper some new properties and applications of modified Chebyshev polynomials and Morgan–Voyce polynomials will be presented. The aim of the paper is to complete the knowledge about all of these types of polynomials.
Damian Słota, Roman Wituła
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source