Modal spectral element method in curvilinear domains

DOI10.1016/j.apnum.2018.01.011zbMath1393.65034OpenAlexW2793666055MaRDI QIDQ1743408

Mehdi Dehghan, Farhad Fakhar-Izadi

Publication date: 13 April 2018

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.01.011

zbMATH Keywords

nonlinear wave equationnonlinear integro-differential equationnon-homogeneous heat equationfast Fourier transform (FFT)Lobatto polynomialsChebyshev pseudo-spectralLegendre triple product integralmodal (hierarchical) spectral element

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for discrete and fast Fourier transforms (65T50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for first-order hyperbolic systems (35L45) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Integro-partial differential equations (35R09)

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Dynamical behavior of reaction-diffusion neural networks and their synchronization arising in modeling epileptic seizure: a numerical simulation study ⋮ A \(hk\) mortar spectral element method for the \(p\)-Laplacian equation

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