Orthogonal cubic spline collocation method for the Cahn-Hilliard equation

DOI10.1016/j.amc.2006.05.017zbMath1111.65091OpenAlexW2048178660MaRDI QIDQ858796

N. E. Zubov

Publication date: 11 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.017

zbMATH Keywords

numerical experimentsLyapunov functionaloptimal error estimatesCahan-Hilliard equationMonomial basis functionsOrthogonal cubic spline collocation methodRADAU 5

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

The least squares spectral element method for the Cahn-Hilliard equation, A numerical method based on the boundary integral equation and dual reciprocity methods for one-dimensional Cahn-Hilliard equation, Numerical approximation for viscous Cahn–Hilliard equation via septic B-spline

Uses Software

• ABDPACK
• RODAS

Cites Work

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• A second order splitting method for the Cahn-Hilliard equation
• Second-order splitting combined with orthogonal cubic spline collocation method for the Kuramoto-Sivashinsky equation
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• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• Numerical Studies of the Cahn-Hilliard Equation for Phase Separation
• A second-order splitting combined with orthogonal cubic spline collocation method for the Rosenau equation
• The solution of almost block diagonal linear systems arising in spline collocation at Gaussian points with monomial basis functions
• Algorithm 704: ABDPACK and ABBPACK-FORTRAN programs for the solution of almost block diagonal linear systems arising in spline collocation at Gaussian points with monomial basis functions
• Discrete-Time Orthogonal Spline Collocation Methods for Vibration Problems
• Solvability of General Differential Algebraic Equations
• A Finite Element Collocation Method for Quasilinear Parabolic Equations