Efficient high order method for differential equations in unbounded domains using generalized coordinate transformation

DOI10.1016/j.jcp.2018.12.030zbMath1451.65156OpenAlexW2910648246WikidataQ128621778 ScholiaQ128621778MaRDI QIDQ2214570

Hamed Saidaoui, Faisal Mumtaz, Fahhad H. Alharbi

Publication date: 9 December 2020

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2018.12.030

zbMATH Keywords

unbounded domainsHelmholtz equationspectral methodcoordinate transformationhigh order methodsimple harmonic oscillator

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (2)

Least squares support vector regression for differential equations on unbounded domains ⋮ A pseudospectral method for the one-dimensional fractional Laplacian on \(\mathbb{R} \)

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