Fast methods for the iterative solution of linear elliptic and parabolic partial differential equations involving 2 space dimensions

DOI10.1080/00207167808803150zbMath0408.65063OpenAlexW2062472350MaRDI QIDQ4195884

David J. Evans, George Avdelas

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1080/00207167808803150

zbMATH Keywords

Boundary Value ProblemParabolic Partial Differential EquationsAlternating Direction Implicit MethodsFast Direct MethodsImplicit Difference Equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (4)

New lod and adi methods for the two-dimensional diffusion equation ⋮ A new bordering strategy for solving block-tridiagonal linear systems ⋮ Solution of band matrix equations by projection-recurrence ⋮ On the general problem of formulation and optimization of a p-parametric extrapolated alternating direction implicit sheme

Cites Work

• Unnamed Item
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• On the use of fast methods for solving boundary value problems
• The Numerical Solution of the Fourth Boundary Value Problem for Parabolic Partial Differential Equations
• An algorithm for the solution of certain tridiagonal systems of linear equations
• Extrapolated alternating direction implicit iterative methods

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