Results 21 to 30 of about 11,687,734 (245)
A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems [PDF]
, 2007 This paper reports a new spectral collocation method for numerically solving two-dimensional biharmonic boundary-value problems. The construction of the Chebyshev approximations is based on integration rather than conventional differentiation.
Tanner, Roger I. +3 more
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A spectral collocation technique based on integrated Chebyshev polynomials for biharmonic problems in irregular domains [PDF]
, 2009 In this paper, an integral collocation approach based on Chebyshev polynomials for numerically solving biharmonic equations [N. Mai-Duy, R.I. Tanner, A spectral collocation method based on integrated Chebyshev polynomials for biharmonic boundary-value ...
See, Howard +2 more
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Journal of Function Spaces, 2021 In this paper, the Crank-Nicolson Fourier spectral method is proposed for solving the space fractional Schrödinger equation with wave operators. The equation is treated with the conserved Crank-Nicolson Fourier Galerkin method and the conserved Crank ...
Lei Zhang +3 more
doaj +1 more source
Open Physics, 2020 The present study aims to design a second-order nonlinear Lane–Emden coupled functional differential model and numerically investigate by using the famous spectral collocation method.
Abdelkawy Mohamed A. +3 more
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On the bivariate spectral quasi-linearization method for solving the two-dimensional Bratu problem
Open Physics, 2018 In this paper, a bivariate spectral quasi-linearization method is used to solve the highly non-linear two dimensional Bratu problem. The two dimensional Bratu problem is also solved using the Chebyshev spectral collocation method which uses Kronecker ...
Muzara Hillary +2 more
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Fractal and Fractional, 2023 This work presents a highly accurate method for the numerical solution of the advection–diffusion equation of fractional order. In our proposed method, we apply the Laplace transform to handle the time-fractional derivative and utilize the Chebyshev ...
Farman Ali Shah +4 more
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Thermal Analysis of Convective-Radiative Fin with Temperature-Dependent Thermal Conductivity Using Chebychev Spectral Collocation Method [PDF]
Journal of Applied and Computational Mechanics, 2018 In this paper, the Chebychev spectral collocation method is applied for the thermal analysis of convective-radiative straight fins with the temperature-dependent thermal conductivity.
George Oguntala, Raed Abd-Alhameed
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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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, 2017 We develop spectral collocation methods for fractional differential equations with variable order with two end-point singularities. Specifically, we derive three-term recurrence relations for both integrals and derivatives of the weighted Jacobi ...
George Em Karniadakis +5 more
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Supporting collocation learning with a digital library [PDF]
, 2010 Extensive knowledge of collocations is a key factor that distinguishes learners from fluent native speakers. Such knowledge is difficult to acquire simply because there is so much of it.
Franken, Margaret +2 more
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