Results 1 to 10 of about 20,962 (291)
A Pseudo-Spectral Fourier Collocation Method for Inhomogeneous Elliptical Inclusions with Partial Differential Equations [PDF]
Mathematics, 2022 Inhomogeneous elliptical inclusions with partial differential equations have aroused appreciable concern in many disciplines. In this paper, a pseudo-spectral collocation method, based on Fourier basis functions, is proposed for the numerical solutions ...
Xiao Wang +3 more
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Fourier pseudo-spectral method for the extended Fisher-Kolmogorov equation in two dimensions
Advances in Difference Equations, 2017 In the study of pattern formation in bi-stable systems, the extended Fisher-Kolmogorov (EFK) equation plays an important role. In this paper, a Fourier pseudo-spectral method for solving the EFK equation in two space dimensions is presented. Prior bounds
Fengnan Liu, Xiaopeng Zhao, Bo Liu
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Axioms, 2023 In the present work, verifying the applicability and potentiality of the IMERSPEC methodology for numerical and computational modeling of two-dimensional flows over airfoils and vertical axis wind turbines is proposed.
Lucas Marques Monteiro +1 more
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A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation [PDF]
Journal of Computational Physics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuezheng Gong +2 more
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A Deuflhard-Type Exponential Integrator Fourier Pseudo-Spectral Method for the “Good” Boussinesq Equation [PDF]
Journal of Scientific Computing, 2020 We propose an exponential integrator Fourier pseudospectral method DEI-FP for solving the "Good" Boussinesq (GB) equation. The numerical scheme is based on a Deuflhard-type exponential integrator and a Fourier pseudospectral method for temporal and spatial discretizations, respectively. The scheme is fully explicit and efficient due to the fast Fourier
Chunmei Su, Wenqi Yao
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Energy-dissipative adaptive-step L1 discretisation for the Caputo time-fractional incompressible magnetohydrodynamic system [PDF]
Scientific ReportsWe study the incompressible magnetohydrodynamic system endowed with a Caputo time-fractional derivative of order ...
Muhammad Zainul Abidin
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Journal of Applied Mathematics and Physics, 2016 In this study, the numerical solution for the Modified Equal Width Wave (MEW) equation is presented using Fourier spectral method that use to discretize the space variable and Leap-frog method scheme for time dependence. Test problems including the single soliton wave motion, interaction of two solitary waves and interaction of three solitary waves ...
Hany N Hassan
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International Journal of Mechanical System Dynamics, 2022 A localized Fourier collocation method is proposed for solving certain types of elliptic boundary value problems. The method first discretizes the entire domain into a set of overlapping small subdomains, and then in each of the subdomains, the unknown ...
Yan Gu, Zhuojia Fu, Mikhail V. Golub
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Fractal and Fractional, 2023 In this paper, the (2+1)-dimensional nonlinear Schrödinger equation (2D NLSE) abreast of the (2+1)-dimensional linear time-dependent Schrödinger equation (2D TDSE) are thoroughly investigated.
Neveen G. A. Farag +3 more
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An inverse boundary value problem for a two-dimensional pseudo-parabolic equation of third order
Results in Applied Mathematics, 2022 In the present work, we consider an inverse boundary value problem for a two-dimensional pseudo-parabolic equation of the third-order. Using analytical and operator-theoretic methods, as well as the Fourier method, the existence and uniqueness of the ...
Yashar T. Mehraliyev +2 more
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