Results 21 to 30 of about 1,127 (163)
Nonlinear Engineering, 2020 In this work, we present a new modification to the bivariate spectral collocation method in solving Emden-Fowler equations. The novelty of the modified approach is the use of overlapping grids when applying the Chebyshev spectral collocation method.
Mkhatshwa Musawenkhosi P. +2 more
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On Well-Conditioned Spectral Collocation and Spectral Methods by the Integral Reformulation [PDF]
SIAM Journal on Scientific Computing, 2016 17 pages, 8 ...
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AN EXPLICIT SPECTRAL COLLOCATION METHOD FOR THE DRUG RELEASE CORONARY STENTS
Mathematical Modelling and Analysis, 2022 This research aims to solve a comprehensive one-dimensional model of drug release from cardiovascular stents in which the drug binding is saturable and reversible. We used the Lagrange collocation method for space dimension and the modified Euler method for time discretization. The existence and uniqueness of the solution, are provided. The consistency,
Fakhri, Somayeh +1 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
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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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The spectral collocation method for stochasticdifferential equations
Discrete and Continuous Dynamical Systems - B, 2013 In this paper, we use the Chebyshev spectral collocation method to solve a certain type of stochastic differential equations (SDEs). We also use this method to estimate parameters of stochastic differential equations from discrete observations by maximum likelihood technique and Kessler technique.
Can Huang, Zhimin Zhang
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Numerical Solution for Elliptic Interface Problems Using Spectral Element Collocation Method
Abstract and Applied Analysis, 2014 The aim of this paper is to solve an elliptic interface problem with a discontinuous coefficient and a singular source term by the spectral collocation method.
Peyman Hessari +2 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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Fully Legendre spectral collocation technique for stochastic heat equations
Open Physics, 2021 For the stochastic heat equation (SHE), a very accurate spectral method is considered. To solve the SHE, we suggest using a shifted Legendre Gauss–Lobatto collocation approach in combination with a shifted Legendre Gauss–Radau collocation technique.
Abdelkawy Mohamed A. +3 more
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