On the numerical solution of partial differential equations defined on domains limited by curves using segmented forms of the tau-lines method

DOI10.1080/00207169308804234zbMath0799.65118OpenAlexW2100591241MaRDI QIDQ4297210

Y. M. Samrout

Publication date: 25 July 1994

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169308804234

zbMATH Keywords

finite differencesPoisson equationtau-lines methodorthogonal polynomial bases

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Method of lines for boundary value problems involving PDEs (65N40)

Related Items (2)

New second- and fourth-order accurate numerical schemes for the nonlinear cubic Schrödinger equation ⋮ An improved tau method for a class of Sturm-Liouville problems

Uses Software

• GEAR

Cites Work

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• Accurate finite difference approximations for the solution of parabolic partial differential equations by semi‐discretization
• Domain decomposition and the numerical solution of partial differential equations defined on irregular domains using segmented forms of the tau lines method
• The iterative solution of non-linear ordinary differential equations in Chebyshev series
• Nonlinear shallow fluid flow over an isolated ridge
• Trigonometric Interpolation of Empirical and Analytical Functions

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