When central finite differencing gives complex values for a real solution!

DOI10.1080/17476933.2011.647003zbMath1235.65123OpenAlexW2100095167MaRDI QIDQ3119110

Philip Broadbridge, Joanna M. Goard

Publication date: 7 March 2012

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2011.647003

zbMATH Keywords

surface diffusionintegrable modelsfinite difference operatorsgeneralized hypergeometric functionsfourth-order nonlinear diffusion

Mathematics Subject Classification ID

Finite difference methods for boundary value problems involving PDEs (65N06) Initial-boundary value problems for higher-order parabolic systems (35K52)

Cites Work

• Unnamed Item
• Numerical methods for fourth order nonlinear degenerate diffusion problems.
• Infiltration from supply at constant water content: An integrable model
• On the numerical solution of a driven thin film equation
• Temperature-dependent surface diffusion near a grain boundary
• A variational complex for difference equations
• Exact solvability of the Mullins nonlinear diffusion model of groove development
• A Pseudospectral Fictitious Point Method for High Order Initial‐Boundary Value Problems
• An integrable fourth-order nonlinear evolution equation applied to thermal grooving of metal surfaces
• Grain boundary grooving by surface diffusion: an analytic nonlinear model for a symmetric groove

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