A generalized Laguerre-Legendre spectral collocation method for solving initial-boundary value problems

DOI10.1016/j.apm.2013.08.008zbMath1427.65304OpenAlexW2055008645MaRDI QIDQ1994452

Mehdi Tatari, Mahboobeh Haghighi

Publication date: 1 November 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2013.08.008

zbMATH Keywords

initial-boundary value problemsKronecker productLaguerre-Legendre spectral collocation method

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (10)

Barycentric-Legendre interpolation method for solving two-dimensional fractional cable equation in neuronal dynamics ⋮ A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations ⋮ A Laguerre approach for solving of the systems of linear differential equations and residual improvement ⋮ An actuated computational method for treating parabolic partial delay integro-differential equations constrained by infinite boundary ⋮ Numerical approach for solving space fractional orderdiffusion equations using shifted Chebyshev polynomials of the fourth kind ⋮ Chebyshev-Chebyshev spectral collocation method for solving the generalized regularized long wave (GRLW) equation ⋮ On spectral methods for solving variable-order fractional integro-differential equations ⋮ A shifted Jacobi-Gauss collocation scheme for solving fractional neutral functional-differential equations ⋮ New spectral collocation algorithms for one- and two-dimensional Schrödinger equations with a Kerr law nonlinearity ⋮ A seamless, extended DG approach for advection-diffusion problems on unbounded domains

Uses Software

• Matlab

Cites Work

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