Results 91 to 100 of about 21,657 (246)
On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives
Journal of Applied Mathematics, 2014 We study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and their rth derivatives. We get the formulas for the rth derivatives of Chebyshev polynomials being represented by Chebyshev polynomials and Fibonacci polynomials.
Yang Li
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Journal of Polymer Science, EarlyView.A comparative large‐amplitude oscillatory shear analysis reveals how cationic surfactants progressively weaken xanthan gum networks. While conventional rheology identifies network softening, advanced LAOS methods uncover nonlinear deformation mechanisms and transient structural evolution that remain hidden in cycle‐averaged measurements.
Osita Sunday Nnyigide +2 more
wiley +1 more source
Advances in Mathematical Physics, 2017 The second-kind Chebyshev wavelets collocation method is applied for solving a class of time-fractional diffusion-wave equation. Fractional integral formula of a single Chebyshev wavelet in the Riemann-Liouville sense is derived by means of shifted ...
Fengying Zhou, Xiaoyong Xu
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Wildlife Biology, EarlyView.Exploration of new wildlife surveying methodologies that leverage advances in sensor technology and machine learning has led to tentative research into the application of seismology techniques. This, most commonly, involves the deployment of a footfall trap – a seismic sensor and data logger customised for wildlife footfall.
Benjamin J. Blackledge +4 more
wiley +1 more source
Symmetrized Chebyshev polynomials [PDF]
Proceedings of the American Mathematical Society, 2004 We define a class of multivariate Laurent polynomials closely related to Chebyshev polynomials and prove the simple but somewhat surprising (in view of the fact that the signs of the coefficients of the Chebyshev polynomials themselves alternate) result that their coefficients are non-negative. As a corollary we find that
openaire +2 more sources
An approximate solution of the Blasius problem using spectral method
Partial Differential Equations in Applied MathematicsThis paper aims at finding the numerical approximation of a classical Blasius flat plate problem using spectral collocation method. This technique is based on Chebyshev pseudospectral approach that involves the solution is approximated using Chebyshev ...
Zunera Shoukat +6 more
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Abstract and Applied Analysis, 2013 A new numerical method is introduced for solving linear Fredholm integrodifferential equations which is based on a hybrid of block-pulse functions and Chebyshev polynomials using the well-known Chebyshev-Gauss-Lobatto collocation points.
Z. Pashazadeh Atabakan +2 more
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CAAI Transactions on Intelligence Technology, EarlyView.Abstract Graph neural networks (GNNs) have revolutionised the processing of information by facilitating the transmission of messages between graph nodes. Graph neural networks operate on graph‐structured data, which makes them suitable for a wide variety of computer vision problems, such as link prediction, node classification, and graph classification.
Amit Sharma +4 more
wiley +1 more source
Chebyshev polynomial approximation to approximate partial differential equations [PDF]
This pa per suggests a simple method based on Chebyshev approximation at Chebyshev nodes to approximate partial differential equations. The methodology simply consists in determining the value function by using a set of nodes and basis functions.
Guglielmo Maria Caporale, Mario Cerrato
core
Some results on complex $(p,q)- $extnsion Chebyshev wavelets [PDF]
Journal of Mahani Mathematical ResearchIn this paper, we propose a generalized formula for well-known functions such as $(p,q)$-Chebyshev polynomials. Our consideration is focused on determining properties of generalized Chebyshev polynomials of the first and second kind, sparking interest ...
H. Mazaheri, A.W. Safi, S.M. Jesmani
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