Exponential Jacobi spectral method for hyperbolic partial differential equations

DOI10.1007/s40096-019-00304-wzbMath1452.35088OpenAlexW2975821105WikidataQ115600754 ScholiaQ115600754MaRDI QIDQ2179021

Ramy M. Hafez, Youssri H. Youssri

Publication date: 12 May 2020

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40096-019-00304-w

zbMATH Keywords

convergence analysisoperational matrix of differentiationfirst-order partial differential equationsexponential Jacobi functionsHeisenberg matrix

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial-boundary value problems for first-order hyperbolic equations (35L04)

Related Items (8)

Legendre spectral collocation method for distributed and Riesz fractional convection-diffusion and Schrödinger-type equation ⋮ A numerical Haar wavelet-finite difference hybrid method and its convergence for nonlinear hyperbolic partial differential equation ⋮ Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem ⋮ On Romanovski–Jacobi polynomials and their related approximation results ⋮ Exponential Jacobi-Galerkin method and its applications to multidimensional problems in unbounded domains ⋮ Shifted Legendre spectral collocation technique for solving stochastic Volterra-Fredholm integral equations ⋮ Shifted Jacobi collocation method for Volterra-Fredholm integral equation ⋮ Jacobi spectral discretization for nonlinear fractional generalized seventh-order KdV equations with convergence analysis

Cites Work

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