Articles with "chebyshev type" as a keyword



Analysis of a Chebyshev-type spectral method for the Korteweg-de Vries equation in the real line

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Published in 2018 at "Afrika Matematika"

DOI: 10.1007/s13370-018-0635-8

Abstract: Many problems in science and engineering involve nonlinear PDEs which are posed on the real line ($${\mathbb {R}}$$R). Particular examples include a number of important nonlinear wave equations. A rigorous numerical analysis of such problems… read more here.

Keywords: chebyshev type; spectral method; vries equation; korteweg vries ... See more keywords

Bivariate Chebyshev Type Inequalities for Alpha Diamond Integrals via Time Scale Calculus

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Published in 2025 at "Journal of Mathematics"

DOI: 10.1155/jom/7473193

Abstract: In this article, some generalizations of inequalities involving Chebyshev functional depending upon two parameters, for the class of twice differentiable functions on time scales, are studied. In order to reach the milestone, some preliminary identities… read more here.

Keywords: chebyshev type; time; inequalities alpha; bivariate chebyshev ... See more keywords

Efficient Methods for the Chebyshev-Type Prolate Spheroidal Wave Functions and Corresponding Eigenvalues

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Published in 2024 at "Mathematics"

DOI: 10.3390/math12060807

Abstract: This study explores efficient methods for computing eigenvalues and function values associated with Chebyshev-type prolate spheroidal wave functions (CPSWFs). Applying the expansion of the factor eicxy and the inherent properties of Chebyshev polynomials, we present… read more here.

Keywords: prolate spheroidal; chebyshev type; spheroidal wave; type prolate ... See more keywords

Hybrid Chebyshev-Type Methods for Solving Nonlinear Equations

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Published in 2024 at "Mathematics"

DOI: 10.3390/math13010074

Abstract: Chebyshev-type methods have replaced the Chebyshev method in practice for solving nonlinear equations in abstract spaces. These methods are of the same R-order of three. However, they are easier to deal with, since the computationally… read more here.

Keywords: chebyshev type; solving nonlinear; hybrid chebyshev; methods solving ... See more keywords

Chebyshev type inequalities involving generalized Katugampola fractional integral operators

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Published in 2019 at "Tamkang Journal of Mathematics"

DOI: 10.5556/j.tkjm.50.2019.2791

Abstract: A number of Chebyshev type inequalities involving various fractional integral operators have, recently, been presented.Here, motivated essentially by the earlier works and their applications in diverse research subjects, we aim to establish several Chebyshev type inequalities involving… read more here.

Keywords: involving generalized; inequalities involving; integral operators; chebyshev type ... See more keywords