Results 31 to 40 of about 4,841 (303)
A Spectral Collocation Technique for Riesz Fractional Chen-Lee-Liu Equation [PDF]
Journal of Function Spaces, 2021 This paper discusses the study of optical solitons that are modeled by Riesz fractional Chen-Lee-Liu model, one of the versions of the famous nonlinear Schrödinger equation. This model is solved by the assistance of consecutive spectral collocation technique with two independent approaches.
Mohamed Abdelkawy, Salem A. Alyami
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Legendre Spectral Collocation Technique for Advection Dispersion Equations Included Riesz Fractional
Fractal and Fractional, 2021 The advection–dispersion equations have gotten a lot of theoretical attention. The difficulty in dealing with these problems stems from the fact that there is no perfect answer and that tackling them using local numerical methods is tough.
Mohamed M. Al-Shomrani +1 more
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A Sparse Stochastic Collocation Technique for High-Frequency Wave Propagation with Uncertainty [PDF]
SIAM/ASA Journal on Uncertainty Quantification, 2016 We consider the wave equation with highly oscillatory initial data, where there is uncertainty in the wave speed, initial phase and/or initial amplitude. To estimate quantities of interest related to the solution and their statistics, we combine a high-frequency method based on Gaussian beams with sparse stochastic collocation.
Gabriela Malenova +3 more
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Two-dimensional Haar Wavelet Method for Numerical Solution of Delay Partial Differential Equations
Journal of Function Spaces, 2022 In this paper, a two-dimensional Haar wavelet collocation method is applied to obtain the numerical solution of delay and neutral delay partial differential equations. Both linear and nonlinear problems can be solved using this method.
Rohul Amin +4 more
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Shifted Chebyshev operational matrices to solve the fractional time-delay diffusion equation
Partial Differential Equations in Applied Mathematics, 2023 In this paper, Chebyshev operational matrices collocation technique is proposed for solution of variable order derivative within the fractional time-delay diffusion equation.
Adnan K. Farhood, Osama H. Mohammed
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Alexandria Engineering Journal, 2018 One acceptable technique in meshfree methods is collocation procedure based on the radial basis functions. But the mentioned technique is poor for solving problems that have shock (advection problems).
Mehdi Dehghan, Mostafa Abbaszadeh
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Journal of Ocean Engineering and Science, 2022 In this work, the Benjamin-Bona-Mahony-Burgers (BBMB) equation is solved using an improvised cubic B-spline collocation technique. This equation describes the propagation of small amplitude waves in a nonlinear dispersive medium, in the modeling of ...
Shallu, V.K. Kukreja
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Accuracy Enhancement for Higher Derivatives using Chebyshev Collocation and a Mapping Technique [PDF]
SIAM Journal on Scientific Computing, 1997 Computer approximations to higher-order derivatives, \(k>2\), using Chebyshev polynomials are compared with approximations using a modified method due to \textit{D. Kosloff} and \textit{H. Tal-Ezer} [J. Comput. Phys. 104, No. 2, 457-467 (1993; Zbl 0781.65082)]. The modified method involves a transformation of the mesh nodes from (i) \(y_j= \cos(\pi j/N)
Wai Sun Don, Alex Solomonoff
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Angewandte Chemie, EarlyView.A fully metal‐free heterojunction constructed from graphdiyne (GDY) and polymeric carbon nitride (PCN) enables efficient coupling of CO2 reduction and tetrahydrofuran oxidation. GDY serves as a hole‐transport channel, establishing a built‐in electric field that drives spatial charge separation. The optimized catalyst achieves near‐unity selectivity for
Xuan Zhang +7 more
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مجلة بغداد للعلوم, 2018 The aim of this article is to solve the Volterra-Fredholm integro-differential equations of fractional order numerically by using the shifted Jacobi polynomial collocation method.
Baghdad Science Journal
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