Iterative solution of the nonlinear parabolic periodic boundary value problem

DOI10.1016/0378-4754(80)90005-1zbMath0435.65087OpenAlexW2044895110MaRDI QIDQ1140417

S. H. Smith

Publication date: 1980

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(80)90005-1

zbMATH Keywords

numerical experimentssuccessive over-relaxation methodperiodic spatial boundary conditionsCrank-Nicolson approximationimplicit finite difference equationsmildly non-linear parabolic partial differential equationoptimum over-relaxation factor

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

• Unnamed Item
• A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
• On Direct Methods for Solving Poisson’s Equations
• Periodicity Effects on the Iterative Solution of Elliptic Difference Equations
• The Numerical Solution of the Fourth Boundary Value Problem for Parabolic Partial Differential Equations
• Iterative Methods for Solving Partial Difference Equations of Elliptic Type

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