On the solutions of fluid flow problems with a Chebyshev collocation method using Mathematica
Sign Up to like & getrecommendations! Published in 2022 at "Computer Applications in Engineering Education"
DOI: 10.1002/cae.22516
Abstract: Fluid flow problems are important in engineering applications like heat exchangers, renewable energy sources, and electromagnetic processing of materials, among other applications. Some examples related to a computational fluid dynamics (CFD) course are explored in… read more here.
Keywords: solutions fluid; flow problems; chebyshev collocation; method ... See more keywords
Chebyshev collocation treatment of Volterra–Fredholm integral equation with error analysis
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DOI: 10.1007/s40065-019-0243-y
Abstract: This work reports a collocation algorithm for the numerical solution of a Volterra–Fredholm integral equation (V-FIE), using shifted Chebyshev collocation (SCC) method. Some properties of the shifted Chebyshev polynomials are presented. These properties together with… read more here.
Keywords: chebyshev collocation; fredholm integral; integral equation; equation ... See more keywords
An hp-version Chebyshev collocation method for nonlinear fractional differential equations
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DOI: 10.1016/j.apnum.2020.08.003
Abstract: Abstract In this paper, an hp-version Chebyshev collocation method is developed for the nonlinear fractional differential equations. The hp-version error bounds of the Chebyshev collocation method are derived under the L 2 -norm and the… read more here.
Keywords: chebyshev collocation; collocation method; version chebyshev;
Error estimate of a Legendre-Galerkin Chebyshev collocation method for a class of parabolic inverse problem
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DOI: 10.1016/j.apnum.2021.07.023
Abstract: Abstract A Legendre-Galerkin Chebyshev collocation method is presented for the parabolic inverse problem with control parameters. Optimal order of convergence of the semi-discrete method is obtained in L 2 -norm for the nonlinear term being… read more here.
Keywords: chebyshev collocation; galerkin chebyshev; legendre galerkin; method ... See more keywords
A direct Chebyshev collocation method for the numerical solutions of three-dimensional Helmholtz-type equations
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DOI: 10.1016/j.enganabound.2019.03.023
Abstract: Abstract In this study, a new framework for the numerical solutions of inhomogeneous Helmholtz-type equations on three-dimensional (3D) arbitrary domains is presented. A Chebyshev collocation scheme (CCS) is introduced for the efficient and accurate approximation… read more here.
Keywords: chebyshev collocation; type equations; helmholtz type; type ... See more keywords
Modified Chebyshev collocation method for delayed predator–prey system
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DOI: 10.1186/s13662-020-02769-9
Abstract: In this study, the approximate solutions of the predator–prey system with delay have been obtained by using the modified Chebyshev collocation method. The main technique is that this method transforms the original problem into a… read more here.
Keywords: predator prey; system; modified chebyshev; method ... See more keywords