Steady states solutions of Allen-Cahn equation by computer algebra

DOI10.1016/j.amc.2014.11.048zbMath1338.35007OpenAlexW2055074348MaRDI QIDQ298706

Cristina L. D. Vaz, Hugo A. C. Diniz

Publication date: 21 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.11.048

zbMATH Keywords

computer algebraRitz methodAllen-Cahn equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Software, source code, etc. for problems pertaining to partial differential equations (35-04) Semilinear parabolic equations (35K58)

Related Items

Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach

Uses Software

• Maxima

Cites Work

• Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
• An analysis of a phase field model of a free boundary
• Theoretical Numerical Analysis
• Unnamed Item