An iterative spatial-stepping numerical method for linear elliptic PDEs using the unified transform

DOI10.1016/J.CAM.2018.11.025zbMath1506.65244OpenAlexW2905226642WikidataQ114202103 ScholiaQ114202103MaRDI QIDQ1736366

Athanassios S. Fokas, Eleftherios-Nektarios G. Grylonakis, Christos K. Filelis-Papadopoulos, George A. Gravvanis

Publication date: 26 March 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.11.025

zbMATH Keywords

Euler methodglobal relationunified transformspatial-stepping

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (1)

Analytical, semi-analytical, and numerical solutions for the Cahn-Allen equation

Uses Software

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Cites Work

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